1,1,11,11,0.019674,"\text{Not used}","int(sin(a + b*x),x)","-\frac{\cos\left(a+b\,x\right)}{b}","Not used",1,"-cos(a + b*x)/b","B"
2,1,18,25,0.429951,"\text{Not used}","int(sin(a + b*x)^2,x)","\frac{x}{2}-\frac{\sin\left(2\,a+2\,b\,x\right)}{4\,b}","Not used",1,"x/2 - sin(2*a + 2*b*x)/(4*b)","B"
3,1,24,27,0.353349,"\text{Not used}","int(sin(a + b*x)^3,x)","-\frac{3\,\cos\left(a+b\,x\right)-{\cos\left(a+b\,x\right)}^3}{3\,b}","Not used",1,"-(3*cos(a + b*x) - cos(a + b*x)^3)/(3*b)","B"
4,1,50,46,0.470424,"\text{Not used}","int(sin(a + b*x)^4,x)","\frac{3\,x}{8}-\frac{\frac{5\,{\mathrm{tan}\left(a+b\,x\right)}^3}{8}+\frac{3\,\mathrm{tan}\left(a+b\,x\right)}{8}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^4+2\,{\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}","Not used",1,"(3*x)/8 - ((3*tan(a + b*x))/8 + (5*tan(a + b*x)^3)/8)/(b*(2*tan(a + b*x)^2 + tan(a + b*x)^4 + 1))","B"
5,1,32,42,0.358471,"\text{Not used}","int(sin(a + b*x)^5,x)","-\frac{\frac{{\cos\left(a+b\,x\right)}^5}{5}-\frac{2\,{\cos\left(a+b\,x\right)}^3}{3}+\cos\left(a+b\,x\right)}{b}","Not used",1,"-(cos(a + b*x) - (2*cos(a + b*x)^3)/3 + cos(a + b*x)^5/5)/b","B"
6,1,43,67,0.577875,"\text{Not used}","int(sin(a + b*x)^6,x)","\frac{5\,x}{16}-\frac{\frac{15\,\sin\left(2\,a+2\,b\,x\right)}{64}-\frac{3\,\sin\left(4\,a+4\,b\,x\right)}{64}+\frac{\sin\left(6\,a+6\,b\,x\right)}{192}}{b}","Not used",1,"(5*x)/16 - ((15*sin(2*a + 2*b*x))/64 - (3*sin(4*a + 4*b*x))/64 + sin(6*a + 6*b*x)/192)/b","B"
7,1,43,54,0.375027,"\text{Not used}","int(sin(a + b*x)^7,x)","\frac{\cos\left(a+b\,x\right)\,\left(5\,{\cos\left(a+b\,x\right)}^6-21\,{\cos\left(a+b\,x\right)}^4+35\,{\cos\left(a+b\,x\right)}^2-35\right)}{35\,b}","Not used",1,"(cos(a + b*x)*(35*cos(a + b*x)^2 - 21*cos(a + b*x)^4 + 5*cos(a + b*x)^6 - 35))/(35*b)","B"
8,1,90,88,1.504514,"\text{Not used}","int(sin(a + b*x)^8,x)","\frac{35\,x}{128}-\frac{\frac{93\,{\mathrm{tan}\left(a+b\,x\right)}^7}{128}+\frac{511\,{\mathrm{tan}\left(a+b\,x\right)}^5}{384}+\frac{385\,{\mathrm{tan}\left(a+b\,x\right)}^3}{384}+\frac{35\,\mathrm{tan}\left(a+b\,x\right)}{128}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^8+4\,{\mathrm{tan}\left(a+b\,x\right)}^6+6\,{\mathrm{tan}\left(a+b\,x\right)}^4+4\,{\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}","Not used",1,"(35*x)/128 - ((35*tan(a + b*x))/128 + (385*tan(a + b*x)^3)/384 + (511*tan(a + b*x)^5)/384 + (93*tan(a + b*x)^7)/128)/(b*(4*tan(a + b*x)^2 + 6*tan(a + b*x)^4 + 4*tan(a + b*x)^6 + tan(a + b*x)^8 + 1))","B"
9,1,34,60,0.482978,"\text{Not used}","int(sin(b*x)^(7/2),x)","-\frac{\cos\left(b\,x\right)\,{\sin\left(b\,x\right)}^{9/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{4},\frac{1}{2};\ \frac{3}{2};\ {\cos\left(b\,x\right)}^2\right)}{b\,{\left({\sin\left(b\,x\right)}^2\right)}^{9/4}}","Not used",1,"-(cos(b*x)*sin(b*x)^(9/2)*hypergeom([-5/4, 1/2], 3/2, cos(b*x)^2))/(b*(sin(b*x)^2)^(9/4))","B"
10,1,34,41,0.413654,"\text{Not used}","int(sin(b*x)^(5/2),x)","-\frac{\cos\left(b\,x\right)\,{\sin\left(b\,x\right)}^{7/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{4},\frac{1}{2};\ \frac{3}{2};\ {\cos\left(b\,x\right)}^2\right)}{b\,{\left({\sin\left(b\,x\right)}^2\right)}^{7/4}}","Not used",1,"-(cos(b*x)*sin(b*x)^(7/2)*hypergeom([-3/4, 1/2], 3/2, cos(b*x)^2))/(b*(sin(b*x)^2)^(7/4))","B"
11,1,34,41,0.404412,"\text{Not used}","int(sin(b*x)^(3/2),x)","-\frac{\cos\left(b\,x\right)\,{\sin\left(b\,x\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{1}{2};\ \frac{3}{2};\ {\cos\left(b\,x\right)}^2\right)}{b\,{\left({\sin\left(b\,x\right)}^2\right)}^{5/4}}","Not used",1,"-(cos(b*x)*sin(b*x)^(5/2)*hypergeom([-1/4, 1/2], 3/2, cos(b*x)^2))/(b*(sin(b*x)^2)^(5/4))","B"
12,1,15,19,0.366411,"\text{Not used}","int(sin(b*x)^(1/2),x)","-\frac{2\,\mathrm{E}\left(\frac{\pi }{4}-\frac{b\,x}{2}\middle|2\right)}{b}","Not used",1,"-(2*ellipticE(pi/4 - (b*x)/2, 2))/b","B"
13,1,15,19,0.387062,"\text{Not used}","int(1/sin(b*x)^(1/2),x)","-\frac{2\,\mathrm{F}\left(\frac{\pi }{4}-\frac{b\,x}{2}\middle|2\right)}{b}","Not used",1,"-(2*ellipticF(pi/4 - (b*x)/2, 2))/b","B"
14,1,34,37,0.472812,"\text{Not used}","int(1/sin(b*x)^(3/2),x)","-\frac{\cos\left(b\,x\right)\,{\left({\sin\left(b\,x\right)}^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{5}{4};\ \frac{3}{2};\ {\cos\left(b\,x\right)}^2\right)}{b\,\sqrt{\sin\left(b\,x\right)}}","Not used",1,"-(cos(b*x)*(sin(b*x)^2)^(1/4)*hypergeom([1/2, 5/4], 3/2, cos(b*x)^2))/(b*sin(b*x)^(1/2))","B"
15,1,34,41,0.585109,"\text{Not used}","int(1/sin(b*x)^(5/2),x)","-\frac{\cos\left(b\,x\right)\,{\left({\sin\left(b\,x\right)}^2\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{7}{4};\ \frac{3}{2};\ {\cos\left(b\,x\right)}^2\right)}{b\,{\sin\left(b\,x\right)}^{3/2}}","Not used",1,"-(cos(b*x)*(sin(b*x)^2)^(3/4)*hypergeom([1/2, 7/4], 3/2, cos(b*x)^2))/(b*sin(b*x)^(3/2))","B"
16,1,34,60,0.559737,"\text{Not used}","int(1/sin(b*x)^(7/2),x)","-\frac{\cos\left(b\,x\right)\,{\left({\sin\left(b\,x\right)}^2\right)}^{5/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{9}{4};\ \frac{3}{2};\ {\cos\left(b\,x\right)}^2\right)}{b\,{\sin\left(b\,x\right)}^{5/2}}","Not used",1,"-(cos(b*x)*(sin(b*x)^2)^(5/4)*hypergeom([1/2, 9/4], 3/2, cos(b*x)^2))/(b*sin(b*x)^(5/2))","B"
17,1,42,70,0.488478,"\text{Not used}","int(sin(a + b*x)^(7/2),x)","-\frac{\cos\left(a+b\,x\right)\,{\sin\left(a+b\,x\right)}^{9/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{4},\frac{1}{2};\ \frac{3}{2};\ {\cos\left(a+b\,x\right)}^2\right)}{b\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{9/4}}","Not used",1,"-(cos(a + b*x)*sin(a + b*x)^(9/2)*hypergeom([-5/4, 1/2], 3/2, cos(a + b*x)^2))/(b*(sin(a + b*x)^2)^(9/4))","B"
18,1,42,47,0.450253,"\text{Not used}","int(sin(a + b*x)^(5/2),x)","-\frac{\cos\left(a+b\,x\right)\,{\sin\left(a+b\,x\right)}^{7/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{4},\frac{1}{2};\ \frac{3}{2};\ {\cos\left(a+b\,x\right)}^2\right)}{b\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{7/4}}","Not used",1,"-(cos(a + b*x)*sin(a + b*x)^(7/2)*hypergeom([-3/4, 1/2], 3/2, cos(a + b*x)^2))/(b*(sin(a + b*x)^2)^(7/4))","B"
19,1,42,47,0.439973,"\text{Not used}","int(sin(a + b*x)^(3/2),x)","-\frac{\cos\left(a+b\,x\right)\,{\sin\left(a+b\,x\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{1}{2};\ \frac{3}{2};\ {\cos\left(a+b\,x\right)}^2\right)}{b\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{5/4}}","Not used",1,"-(cos(a + b*x)*sin(a + b*x)^(5/2)*hypergeom([-1/4, 1/2], 3/2, cos(a + b*x)^2))/(b*(sin(a + b*x)^2)^(5/4))","B"
20,1,18,21,0.368205,"\text{Not used}","int(sin(a + b*x)^(1/2),x)","\frac{2\,\mathrm{E}\left(\frac{a}{2}-\frac{\pi }{4}+\frac{b\,x}{2}\middle|2\right)}{b}","Not used",1,"(2*ellipticE(a/2 - pi/4 + (b*x)/2, 2))/b","B"
21,1,18,21,0.377098,"\text{Not used}","int(1/sin(a + b*x)^(1/2),x)","-\frac{2\,\mathrm{F}\left(\frac{\pi }{4}-\frac{a}{2}-\frac{b\,x}{2}\middle|2\right)}{b}","Not used",1,"-(2*ellipticF(pi/4 - a/2 - (b*x)/2, 2))/b","B"
22,1,42,43,0.510825,"\text{Not used}","int(1/sin(a + b*x)^(3/2),x)","-\frac{\cos\left(a+b\,x\right)\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{5}{4};\ \frac{3}{2};\ {\cos\left(a+b\,x\right)}^2\right)}{b\,\sqrt{\sin\left(a+b\,x\right)}}","Not used",1,"-(cos(a + b*x)*(sin(a + b*x)^2)^(1/4)*hypergeom([1/2, 5/4], 3/2, cos(a + b*x)^2))/(b*sin(a + b*x)^(1/2))","B"
23,1,42,47,0.612717,"\text{Not used}","int(1/sin(a + b*x)^(5/2),x)","-\frac{\cos\left(a+b\,x\right)\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{7}{4};\ \frac{3}{2};\ {\cos\left(a+b\,x\right)}^2\right)}{b\,{\sin\left(a+b\,x\right)}^{3/2}}","Not used",1,"-(cos(a + b*x)*(sin(a + b*x)^2)^(3/4)*hypergeom([1/2, 7/4], 3/2, cos(a + b*x)^2))/(b*sin(a + b*x)^(3/2))","B"
24,1,42,70,0.593738,"\text{Not used}","int(1/sin(a + b*x)^(7/2),x)","-\frac{\cos\left(a+b\,x\right)\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{5/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{9}{4};\ \frac{3}{2};\ {\cos\left(a+b\,x\right)}^2\right)}{b\,{\sin\left(a+b\,x\right)}^{5/2}}","Not used",1,"-(cos(a + b*x)*(sin(a + b*x)^2)^(5/4)*hypergeom([1/2, 9/4], 3/2, cos(a + b*x)^2))/(b*sin(a + b*x)^(5/2))","B"
25,0,-1,103,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(7/2),x)","\int {\left(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"
26,0,-1,75,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(5/2),x)","\int {\left(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"
27,0,-1,75,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(3/2),x)","\int {\left(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"
28,1,36,43,0.395299,"\text{Not used}","int((c*sin(a + b*x))^(1/2),x)","\frac{2\,\sqrt{c\,\sin\left(a+b\,x\right)}\,\mathrm{E}\left(\frac{a}{2}-\frac{\pi }{4}+\frac{b\,x}{2}\middle|2\right)}{b\,\sqrt{\sin\left(a+b\,x\right)}}","Not used",1,"(2*(c*sin(a + b*x))^(1/2)*ellipticE(a/2 - pi/4 + (b*x)/2, 2))/(b*sin(a + b*x)^(1/2))","B"
29,1,36,43,0.484961,"\text{Not used}","int(1/(c*sin(a + b*x))^(1/2),x)","-\frac{2\,\sqrt{\sin\left(a+b\,x\right)}\,\mathrm{F}\left(\frac{\pi }{4}-\frac{a}{2}-\frac{b\,x}{2}\middle|2\right)}{b\,\sqrt{c\,\sin\left(a+b\,x\right)}}","Not used",1,"-(2*sin(a + b*x)^(1/2)*ellipticF(pi/4 - a/2 - (b*x)/2, 2))/(b*(c*sin(a + b*x))^(1/2))","B"
30,0,-1,73,0.000000,"\text{Not used}","int(1/(c*sin(a + b*x))^(3/2),x)","\int \frac{1}{{\left(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"
31,0,-1,77,0.000000,"\text{Not used}","int(1/(c*sin(a + b*x))^(5/2),x)","\int \frac{1}{{\left(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"
32,0,-1,105,0.000000,"\text{Not used}","int(1/(c*sin(a + b*x))^(7/2),x)","\int \frac{1}{{\left(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"
33,0,-1,58,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(4/3),x)","\int {\left(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"
34,0,-1,58,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(2/3),x)","\int {\left(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"
35,0,-1,517,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(1/3),x)","\int {\left(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"
36,0,-1,252,0.000000,"\text{Not used}","int(1/(c*sin(a + b*x))^(1/3),x)","\int \frac{1}{{\left(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"
37,0,-1,271,0.000000,"\text{Not used}","int(1/(c*sin(a + b*x))^(2/3),x)","\int \frac{1}{{\left(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"
38,0,-1,56,0.000000,"\text{Not used}","int(1/(c*sin(a + b*x))^(4/3),x)","\int \frac{1}{{\left(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"
39,1,54,63,0.782672,"\text{Not used}","int(sin(a + b*x)^n,x)","-\frac{\cos\left(a+b\,x\right)\,{\sin\left(a+b\,x\right)}^{n+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},\frac{1}{2}-\frac{n}{2};\ \frac{3}{2};\ {\cos\left(a+b\,x\right)}^2\right)}{b\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{\frac{n}{2}+\frac{1}{2}}}","Not used",1,"-(cos(a + b*x)*sin(a + b*x)^(n + 1)*hypergeom([1/2, 1/2 - n/2], 3/2, cos(a + b*x)^2))/(b*(sin(a + b*x)^2)^(n/2 + 1/2))","B"
40,0,-1,68,0.000000,"\text{Not used}","int((c*sin(a + b*x))^n,x)","\int {\left(c\,\sin\left(a+b\,x\right)\right)}^n \,d x","Not used",1,"int((c*sin(a + b*x))^n, x)","F"
41,0,-1,81,0.000000,"\text{Not used}","int((a*sin(e + f*x))^m*(b*sin(e + f*x))^n,x)","\int {\left(a\,\sin\left(e+f\,x\right)\right)}^m\,{\left(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"
42,1,13,15,0.056474,"\text{Not used}","int(cos(a + b*x)^3*sin(a + b*x),x)","-\frac{{\cos\left(a+b\,x\right)}^4}{4\,b}","Not used",1,"-cos(a + b*x)^4/(4*b)","B"
43,1,13,15,0.037400,"\text{Not used}","int(cos(a + b*x)^2*sin(a + b*x),x)","-\frac{{\cos\left(a+b\,x\right)}^3}{3\,b}","Not used",1,"-cos(a + b*x)^3/(3*b)","B"
44,1,28,15,0.454512,"\text{Not used}","int(cos(a + b*x)*sin(a + b*x),x)","\left\{\begin{array}{cl} \frac{x\,\sin\left(2\,a\right)}{2} & \text{\ if\ \ }b=0\\ -\frac{\cos\left(2\,a+2\,b\,x\right)}{4\,b} & \text{\ if\ \ }b\neq 0 \end{array}\right.","Not used",1,"piecewise(b == 0, (x*sin(2*a))/2, b ~= 0, -cos(2*a + 2*b*x)/(4*b))","B"
45,1,16,12,0.505598,"\text{Not used}","int(sin(a + b*x)/cos(a + b*x),x)","\frac{\ln\left({\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}{2\,b}","Not used",1,"log(tan(a + b*x)^2 + 1)/(2*b)","B"
46,1,20,10,0.515009,"\text{Not used}","int(sin(a + b*x)/cos(a + b*x)^2,x)","-\frac{2}{b\,\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2-1\right)}","Not used",1,"-2/(b*(tan(a/2 + (b*x)/2)^2 - 1))","B"
47,1,13,15,0.382103,"\text{Not used}","int(sin(a + b*x)/cos(a + b*x)^3,x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^2}{2\,b}","Not used",1,"tan(a + b*x)^2/(2*b)","B"
48,1,13,15,0.448313,"\text{Not used}","int(sin(a + b*x)/cos(a + b*x)^4,x)","\frac{1}{3\,b\,{\cos\left(a+b\,x\right)}^3}","Not used",1,"1/(3*b*cos(a + b*x)^3)","B"
49,1,45,61,0.397556,"\text{Not used}","int(cos(a + b*x)^7*sin(a + b*x)^2,x)","\frac{-\frac{{\sin\left(a+b\,x\right)}^9}{9}+\frac{3\,{\sin\left(a+b\,x\right)}^7}{7}-\frac{3\,{\sin\left(a+b\,x\right)}^5}{5}+\frac{{\sin\left(a+b\,x\right)}^3}{3}}{b}","Not used",1,"(sin(a + b*x)^3/3 - (3*sin(a + b*x)^5)/5 + (3*sin(a + b*x)^7)/7 - sin(a + b*x)^9/9)/b","B"
50,1,36,46,0.399388,"\text{Not used}","int(cos(a + b*x)^5*sin(a + b*x)^2,x)","\frac{15\,{\sin\left(a+b\,x\right)}^7-42\,{\sin\left(a+b\,x\right)}^5+35\,{\sin\left(a+b\,x\right)}^3}{105\,b}","Not used",1,"(35*sin(a + b*x)^3 - 42*sin(a + b*x)^5 + 15*sin(a + b*x)^7)/(105*b)","B"
51,1,26,31,0.359212,"\text{Not used}","int(cos(a + b*x)^3*sin(a + b*x)^2,x)","\frac{5\,{\sin\left(a+b\,x\right)}^3-3\,{\sin\left(a+b\,x\right)}^5}{15\,b}","Not used",1,"(5*sin(a + b*x)^3 - 3*sin(a + b*x)^5)/(15*b)","B"
52,1,13,15,0.023400,"\text{Not used}","int(cos(a + b*x)*sin(a + b*x)^2,x)","\frac{{\sin\left(a+b\,x\right)}^3}{3\,b}","Not used",1,"sin(a + b*x)^3/(3*b)","B"
53,1,14,14,0.375296,"\text{Not used}","int(sin(a + b*x)^2/cos(a + b*x)^2,x)","\frac{\mathrm{tan}\left(a+b\,x\right)}{b}-x","Not used",1,"tan(a + b*x)/b - x","B"
54,1,13,15,0.380981,"\text{Not used}","int(sin(a + b*x)^2/cos(a + b*x)^4,x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^3}{3\,b}","Not used",1,"tan(a + b*x)^3/(3*b)","B"
55,1,25,31,0.387047,"\text{Not used}","int(sin(a + b*x)^2/cos(a + b*x)^6,x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^3\,\left(3\,{\mathrm{tan}\left(a+b\,x\right)}^2+5\right)}{15\,b}","Not used",1,"(tan(a + b*x)^3*(3*tan(a + b*x)^2 + 5))/(15*b)","B"
56,1,35,46,0.406525,"\text{Not used}","int(sin(a + b*x)^2/cos(a + b*x)^8,x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^3\,\left(15\,{\mathrm{tan}\left(a+b\,x\right)}^4+42\,{\mathrm{tan}\left(a+b\,x\right)}^2+35\right)}{105\,b}","Not used",1,"(tan(a + b*x)^3*(42*tan(a + b*x)^2 + 15*tan(a + b*x)^4 + 35))/(105*b)","B"
57,1,45,61,0.405109,"\text{Not used}","int(sin(a + b*x)^2/cos(a + b*x)^10,x)","\frac{\frac{{\mathrm{tan}\left(a+b\,x\right)}^9}{9}+\frac{3\,{\mathrm{tan}\left(a+b\,x\right)}^7}{7}+\frac{3\,{\mathrm{tan}\left(a+b\,x\right)}^5}{5}+\frac{{\mathrm{tan}\left(a+b\,x\right)}^3}{3}}{b}","Not used",1,"(tan(a + b*x)^3/3 + (3*tan(a + b*x)^5)/5 + (3*tan(a + b*x)^7)/7 + tan(a + b*x)^9/9)/b","B"
58,1,89,88,1.517288,"\text{Not used}","int(cos(a + b*x)^6*sin(a + b*x)^2,x)","\frac{5\,x}{128}+\frac{\frac{5\,{\mathrm{tan}\left(a+b\,x\right)}^7}{128}+\frac{55\,{\mathrm{tan}\left(a+b\,x\right)}^5}{384}+\frac{73\,{\mathrm{tan}\left(a+b\,x\right)}^3}{384}-\frac{5\,\mathrm{tan}\left(a+b\,x\right)}{128}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^8+4\,{\mathrm{tan}\left(a+b\,x\right)}^6+6\,{\mathrm{tan}\left(a+b\,x\right)}^4+4\,{\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}","Not used",1,"(5*x)/128 + ((73*tan(a + b*x)^3)/384 - (5*tan(a + b*x))/128 + (55*tan(a + b*x)^5)/384 + (5*tan(a + b*x)^7)/128)/(b*(4*tan(a + b*x)^2 + 6*tan(a + b*x)^4 + 4*tan(a + b*x)^6 + tan(a + b*x)^8 + 1))","B"
59,1,43,67,0.558068,"\text{Not used}","int(cos(a + b*x)^4*sin(a + b*x)^2,x)","\frac{x}{16}-\frac{\frac{\sin\left(4\,a+4\,b\,x\right)}{64}-\frac{\sin\left(2\,a+2\,b\,x\right)}{64}+\frac{\sin\left(6\,a+6\,b\,x\right)}{192}}{b}","Not used",1,"x/16 - (sin(4*a + 4*b*x)/64 - sin(2*a + 2*b*x)/64 + sin(6*a + 6*b*x)/192)/b","B"
60,1,50,46,0.460231,"\text{Not used}","int(cos(a + b*x)^2*sin(a + b*x)^2,x)","\frac{x}{8}-\frac{\frac{\mathrm{tan}\left(a+b\,x\right)}{8}-\frac{{\mathrm{tan}\left(a+b\,x\right)}^3}{8}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^4+2\,{\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}","Not used",1,"x/8 - (tan(a + b*x)/8 - tan(a + b*x)^3/8)/(b*(2*tan(a + b*x)^2 + tan(a + b*x)^4 + 1))","B"
61,1,18,25,0.002017,"\text{Not used}","int(sin(a + b*x)^2,x)","\frac{x}{2}-\frac{\sin\left(2\,a+2\,b\,x\right)}{4\,b}","Not used",1,"x/2 - sin(2*a + 2*b*x)/(4*b)","B"
62,1,27,23,0.456968,"\text{Not used}","int(sin(a + b*x)^2/cos(a + b*x),x)","\frac{2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{b}-\frac{\sin\left(a+b\,x\right)}{b}","Not used",1,"(2*atanh(tan(a/2 + (b*x)/2)))/b - sin(a + b*x)/b","B"
63,1,69,34,1.224700,"\text{Not used}","int(sin(a + b*x)^2/cos(a + b*x)^3,x)","\frac{{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^3+\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}{b\,\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4-2\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2+1\right)}-\frac{\mathrm{atanh}\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{b}","Not used",1,"(tan(a/2 + (b*x)/2) + tan(a/2 + (b*x)/2)^3)/(b*(tan(a/2 + (b*x)/2)^4 - 2*tan(a/2 + (b*x)/2)^2 + 1)) - atanh(tan(a/2 + (b*x)/2))/b","B"
64,1,125,55,6.538564,"\text{Not used}","int(sin(a + b*x)^2/cos(a + b*x)^5,x)","\frac{\frac{{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^7}{4}+\frac{7\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^5}{4}+\frac{7\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^3}{4}+\frac{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}{4}}{b\,\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^8-4\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^6+6\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4-4\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2+1\right)}-\frac{\mathrm{atanh}\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{4\,b}","Not used",1,"(tan(a/2 + (b*x)/2)/4 + (7*tan(a/2 + (b*x)/2)^3)/4 + (7*tan(a/2 + (b*x)/2)^5)/4 + tan(a/2 + (b*x)/2)^7/4)/(b*(6*tan(a/2 + (b*x)/2)^4 - 4*tan(a/2 + (b*x)/2)^2 - 4*tan(a/2 + (b*x)/2)^6 + tan(a/2 + (b*x)/2)^8 + 1)) - atanh(tan(a/2 + (b*x)/2))/(4*b)","B"
65,1,177,76,7.325192,"\text{Not used}","int(sin(a + b*x)^2/cos(a + b*x)^7,x)","\frac{\frac{{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^{11}}{8}+\frac{47\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^9}{24}+\frac{13\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^7}{4}+\frac{13\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^5}{4}+\frac{47\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^3}{24}+\frac{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}{8}}{b\,\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^{12}-6\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^{10}+15\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^8-20\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^6+15\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4-6\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2+1\right)}-\frac{\mathrm{atanh}\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{8\,b}","Not used",1,"(tan(a/2 + (b*x)/2)/8 + (47*tan(a/2 + (b*x)/2)^3)/24 + (13*tan(a/2 + (b*x)/2)^5)/4 + (13*tan(a/2 + (b*x)/2)^7)/4 + (47*tan(a/2 + (b*x)/2)^9)/24 + tan(a/2 + (b*x)/2)^11/8)/(b*(15*tan(a/2 + (b*x)/2)^4 - 6*tan(a/2 + (b*x)/2)^2 - 20*tan(a/2 + (b*x)/2)^6 + 15*tan(a/2 + (b*x)/2)^8 - 6*tan(a/2 + (b*x)/2)^10 + tan(a/2 + (b*x)/2)^12 + 1)) - atanh(tan(a/2 + (b*x)/2))/(8*b)","B"
66,1,25,31,0.372924,"\text{Not used}","int(cos(a + b*x)^5*sin(a + b*x)^3,x)","\frac{{\cos\left(a+b\,x\right)}^6\,\left(3\,{\cos\left(a+b\,x\right)}^2-4\right)}{24\,b}","Not used",1,"(cos(a + b*x)^6*(3*cos(a + b*x)^2 - 4))/(24*b)","B"
67,1,26,31,0.377980,"\text{Not used}","int(cos(a + b*x)^4*sin(a + b*x)^3,x)","-\frac{7\,{\cos\left(a+b\,x\right)}^5-5\,{\cos\left(a+b\,x\right)}^7}{35\,b}","Not used",1,"-(7*cos(a + b*x)^5 - 5*cos(a + b*x)^7)/(35*b)","B"
68,1,37,31,0.510958,"\text{Not used}","int(cos(a + b*x)^3*sin(a + b*x)^3,x)","\frac{{\cos\left(a+b\,x\right)}^4\,\left({\cos\left(a+b\,x\right)}^2-1\right)}{4\,b}-\frac{{\cos\left(a+b\,x\right)}^6}{12\,b}","Not used",1,"(cos(a + b*x)^4*(cos(a + b*x)^2 - 1))/(4*b) - cos(a + b*x)^6/(12*b)","B"
69,1,26,31,0.343948,"\text{Not used}","int(cos(a + b*x)^2*sin(a + b*x)^3,x)","-\frac{5\,{\cos\left(a+b\,x\right)}^3-3\,{\cos\left(a+b\,x\right)}^5}{15\,b}","Not used",1,"-(5*cos(a + b*x)^3 - 3*cos(a + b*x)^5)/(15*b)","B"
70,1,13,15,0.367566,"\text{Not used}","int(cos(a + b*x)*sin(a + b*x)^3,x)","\frac{{\sin\left(a+b\,x\right)}^4}{4\,b}","Not used",1,"sin(a + b*x)^4/(4*b)","B"
71,1,25,28,0.429416,"\text{Not used}","int(sin(a + b*x)^3/cos(a + b*x),x)","\frac{{\cos\left(a+b\,x\right)}^2+\ln\left({\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}{2\,b}","Not used",1,"(log(tan(a + b*x)^2 + 1) + cos(a + b*x)^2)/(2*b)","B"
72,1,20,21,0.486440,"\text{Not used}","int(sin(a + b*x)^3/cos(a + b*x)^2,x)","-\frac{4}{b\,\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4-1\right)}","Not used",1,"-4/(b*(tan(a/2 + (b*x)/2)^4 - 1))","B"
73,1,27,27,0.382834,"\text{Not used}","int(sin(a + b*x)^3/cos(a + b*x)^3,x)","-\frac{\ln\left({\mathrm{tan}\left(a+b\,x\right)}^2+1\right)-{\mathrm{tan}\left(a+b\,x\right)}^2}{2\,b}","Not used",1,"-(log(tan(a + b*x)^2 + 1) - tan(a + b*x)^2)/(2*b)","B"
74,1,23,27,0.447875,"\text{Not used}","int(sin(a + b*x)^3/cos(a + b*x)^4,x)","-\frac{{\cos\left(a+b\,x\right)}^2-\frac{1}{3}}{b\,{\cos\left(a+b\,x\right)}^3}","Not used",1,"-(cos(a + b*x)^2 - 1/3)/(b*cos(a + b*x)^3)","B"
75,1,13,15,0.383483,"\text{Not used}","int(sin(a + b*x)^3/cos(a + b*x)^5,x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^4}{4\,b}","Not used",1,"tan(a + b*x)^4/(4*b)","B"
76,1,25,31,0.539995,"\text{Not used}","int(sin(a + b*x)^3/cos(a + b*x)^6,x)","-\frac{\frac{{\cos\left(a+b\,x\right)}^2}{3}-\frac{1}{5}}{b\,{\cos\left(a+b\,x\right)}^5}","Not used",1,"-(cos(a + b*x)^2/3 - 1/5)/(b*cos(a + b*x)^5)","B"
77,1,25,31,0.398208,"\text{Not used}","int(sin(a + b*x)^3/cos(a + b*x)^7,x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^4\,\left(2\,{\mathrm{tan}\left(a+b\,x\right)}^2+3\right)}{12\,b}","Not used",1,"(tan(a + b*x)^4*(2*tan(a + b*x)^2 + 3))/(12*b)","B"
78,1,25,31,0.631047,"\text{Not used}","int(sin(a + b*x)^3/cos(a + b*x)^8,x)","-\frac{7\,{\cos\left(a+b\,x\right)}^2-5}{35\,b\,{\cos\left(a+b\,x\right)}^7}","Not used",1,"-(7*cos(a + b*x)^2 - 5)/(35*b*cos(a + b*x)^7)","B"
79,1,35,31,0.418378,"\text{Not used}","int(sin(a + b*x)^3/cos(a + b*x)^9,x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^4\,\left(3\,{\mathrm{tan}\left(a+b\,x\right)}^4+8\,{\mathrm{tan}\left(a+b\,x\right)}^2+6\right)}{24\,b}","Not used",1,"(tan(a + b*x)^4*(8*tan(a + b*x)^2 + 3*tan(a + b*x)^4 + 6))/(24*b)","B"
80,1,45,61,0.378645,"\text{Not used}","int(cos(a + b*x)^7*sin(a + b*x)^4,x)","\frac{-\frac{{\sin\left(a+b\,x\right)}^{11}}{11}+\frac{{\sin\left(a+b\,x\right)}^9}{3}-\frac{3\,{\sin\left(a+b\,x\right)}^7}{7}+\frac{{\sin\left(a+b\,x\right)}^5}{5}}{b}","Not used",1,"(sin(a + b*x)^5/5 - (3*sin(a + b*x)^7)/7 + sin(a + b*x)^9/3 - sin(a + b*x)^11/11)/b","B"
81,1,36,46,0.382510,"\text{Not used}","int(cos(a + b*x)^5*sin(a + b*x)^4,x)","\frac{35\,{\sin\left(a+b\,x\right)}^9-90\,{\sin\left(a+b\,x\right)}^7+63\,{\sin\left(a+b\,x\right)}^5}{315\,b}","Not used",1,"(63*sin(a + b*x)^5 - 90*sin(a + b*x)^7 + 35*sin(a + b*x)^9)/(315*b)","B"
82,1,26,31,0.032300,"\text{Not used}","int(cos(a + b*x)^3*sin(a + b*x)^4,x)","\frac{7\,{\sin\left(a+b\,x\right)}^5-5\,{\sin\left(a+b\,x\right)}^7}{35\,b}","Not used",1,"(7*sin(a + b*x)^5 - 5*sin(a + b*x)^7)/(35*b)","B"
83,1,13,15,0.359053,"\text{Not used}","int(cos(a + b*x)*sin(a + b*x)^4,x)","\frac{{\sin\left(a+b\,x\right)}^5}{5\,b}","Not used",1,"sin(a + b*x)^5/(5*b)","B"
84,1,38,40,0.478891,"\text{Not used}","int(sin(a + b*x)^4/cos(a + b*x)^2,x)","\frac{\frac{\cos\left(a+b\,x\right)\,\sin\left(a+b\,x\right)}{2}+\frac{\sin\left(a+b\,x\right)}{\cos\left(a+b\,x\right)}}{b}-\frac{3\,x}{2}","Not used",1,"((cos(a + b*x)*sin(a + b*x))/2 + sin(a + b*x)/cos(a + b*x))/b - (3*x)/2","B"
85,1,24,28,0.400692,"\text{Not used}","int(sin(a + b*x)^4/cos(a + b*x)^4,x)","x-\frac{\mathrm{tan}\left(a+b\,x\right)-\frac{{\mathrm{tan}\left(a+b\,x\right)}^3}{3}}{b}","Not used",1,"x - (tan(a + b*x) - tan(a + b*x)^3/3)/b","B"
86,1,13,15,0.411116,"\text{Not used}","int(sin(a + b*x)^4/cos(a + b*x)^6,x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^5}{5\,b}","Not used",1,"tan(a + b*x)^5/(5*b)","B"
87,1,25,31,0.398308,"\text{Not used}","int(sin(a + b*x)^4/cos(a + b*x)^8,x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^5\,\left(5\,{\mathrm{tan}\left(a+b\,x\right)}^2+7\right)}{35\,b}","Not used",1,"(tan(a + b*x)^5*(5*tan(a + b*x)^2 + 7))/(35*b)","B"
88,1,35,46,0.428418,"\text{Not used}","int(sin(a + b*x)^4/cos(a + b*x)^10,x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^5\,\left(35\,{\mathrm{tan}\left(a+b\,x\right)}^4+90\,{\mathrm{tan}\left(a+b\,x\right)}^2+63\right)}{315\,b}","Not used",1,"(tan(a + b*x)^5*(90*tan(a + b*x)^2 + 35*tan(a + b*x)^4 + 63))/(315*b)","B"
89,1,109,111,1.935863,"\text{Not used}","int(cos(a + b*x)^6*sin(a + b*x)^4,x)","\frac{3\,x}{256}+\frac{\frac{3\,{\mathrm{tan}\left(a+b\,x\right)}^9}{256}+\frac{7\,{\mathrm{tan}\left(a+b\,x\right)}^7}{128}+\frac{{\mathrm{tan}\left(a+b\,x\right)}^5}{10}-\frac{7\,{\mathrm{tan}\left(a+b\,x\right)}^3}{128}-\frac{3\,\mathrm{tan}\left(a+b\,x\right)}{256}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^{10}+5\,{\mathrm{tan}\left(a+b\,x\right)}^8+10\,{\mathrm{tan}\left(a+b\,x\right)}^6+10\,{\mathrm{tan}\left(a+b\,x\right)}^4+5\,{\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}","Not used",1,"(3*x)/256 + (tan(a + b*x)^5/10 - (7*tan(a + b*x)^3)/128 - (3*tan(a + b*x))/256 + (7*tan(a + b*x)^7)/128 + (3*tan(a + b*x)^9)/256)/(b*(5*tan(a + b*x)^2 + 10*tan(a + b*x)^4 + 10*tan(a + b*x)^6 + 5*tan(a + b*x)^8 + tan(a + b*x)^10 + 1))","B"
90,1,90,90,1.504432,"\text{Not used}","int(cos(a + b*x)^4*sin(a + b*x)^4,x)","\frac{3\,x}{128}-\frac{-\frac{3\,{\mathrm{tan}\left(a+b\,x\right)}^7}{128}-\frac{11\,{\mathrm{tan}\left(a+b\,x\right)}^5}{128}+\frac{11\,{\mathrm{tan}\left(a+b\,x\right)}^3}{128}+\frac{3\,\mathrm{tan}\left(a+b\,x\right)}{128}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^8+4\,{\mathrm{tan}\left(a+b\,x\right)}^6+6\,{\mathrm{tan}\left(a+b\,x\right)}^4+4\,{\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}","Not used",1,"(3*x)/128 - ((3*tan(a + b*x))/128 + (11*tan(a + b*x)^3)/128 - (11*tan(a + b*x)^5)/128 - (3*tan(a + b*x)^7)/128)/(b*(4*tan(a + b*x)^2 + 6*tan(a + b*x)^4 + 4*tan(a + b*x)^6 + tan(a + b*x)^8 + 1))","B"
91,1,43,69,0.523670,"\text{Not used}","int(cos(a + b*x)^2*sin(a + b*x)^4,x)","\frac{x}{16}-\frac{\frac{\sin\left(2\,a+2\,b\,x\right)}{64}+\frac{\sin\left(4\,a+4\,b\,x\right)}{64}-\frac{\sin\left(6\,a+6\,b\,x\right)}{192}}{b}","Not used",1,"x/16 - (sin(2*a + 2*b*x)/64 + sin(4*a + 4*b*x)/64 - sin(6*a + 6*b*x)/192)/b","B"
92,1,50,46,0.423934,"\text{Not used}","int(sin(a + b*x)^4,x)","\frac{3\,x}{8}-\frac{\frac{5\,{\mathrm{tan}\left(a+b\,x\right)}^3}{8}+\frac{3\,\mathrm{tan}\left(a+b\,x\right)}{8}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^4+2\,{\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}","Not used",1,"(3*x)/8 - ((3*tan(a + b*x))/8 + (5*tan(a + b*x)^3)/8)/(b*(2*tan(a + b*x)^2 + tan(a + b*x)^4 + 1))","B"
93,1,53,38,0.581066,"\text{Not used}","int(sin(a + b*x)^4/cos(a + b*x),x)","\frac{2\,\mathrm{atanh}\left(\frac{\sin\left(\frac{a}{2}+\frac{b\,x}{2}\right)}{\cos\left(\frac{a}{2}+\frac{b\,x}{2}\right)}\right)}{b}-\frac{5\,\sin\left(a+b\,x\right)}{4\,b}+\frac{\sin\left(3\,a+3\,b\,x\right)}{12\,b}","Not used",1,"(2*atanh(sin(a/2 + (b*x)/2)/cos(a/2 + (b*x)/2)))/b - (5*sin(a + b*x))/(4*b) + sin(3*a + 3*b*x)/(12*b)","B"
94,1,98,49,3.969165,"\text{Not used}","int(sin(a + b*x)^4/cos(a + b*x)^3,x)","-\frac{3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{b}-\frac{3\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^5-2\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^3+3\,\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}{b\,\left(-{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^6+{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4+{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2-1\right)}","Not used",1,"- (3*atanh(tan(a/2 + (b*x)/2)))/b - (3*tan(a/2 + (b*x)/2) - 2*tan(a/2 + (b*x)/2)^3 + 3*tan(a/2 + (b*x)/2)^5)/(b*(tan(a/2 + (b*x)/2)^2 + tan(a/2 + (b*x)/2)^4 - tan(a/2 + (b*x)/2)^6 - 1))","B"
95,1,126,55,6.585419,"\text{Not used}","int(sin(a + b*x)^4/cos(a + b*x)^5,x)","\frac{3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{4\,b}-\frac{\frac{3\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^7}{4}-\frac{11\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^5}{4}-\frac{11\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^3}{4}+\frac{3\,\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}{4}}{b\,\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^8-4\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^6+6\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4-4\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2+1\right)}","Not used",1,"(3*atanh(tan(a/2 + (b*x)/2)))/(4*b) - ((3*tan(a/2 + (b*x)/2))/4 - (11*tan(a/2 + (b*x)/2)^3)/4 - (11*tan(a/2 + (b*x)/2)^5)/4 + (3*tan(a/2 + (b*x)/2)^7)/4)/(b*(6*tan(a/2 + (b*x)/2)^4 - 4*tan(a/2 + (b*x)/2)^2 - 4*tan(a/2 + (b*x)/2)^6 + tan(a/2 + (b*x)/2)^8 + 1))","B"
96,1,177,78,7.379754,"\text{Not used}","int(sin(a + b*x)^4/cos(a + b*x)^7,x)","\frac{\mathrm{atanh}\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{8\,b}+\frac{-\frac{{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^{11}}{8}+\frac{17\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^9}{24}+\frac{19\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^7}{4}+\frac{19\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^5}{4}+\frac{17\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^3}{24}-\frac{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}{8}}{b\,\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^{12}-6\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^{10}+15\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^8-20\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^6+15\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4-6\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2+1\right)}","Not used",1,"atanh(tan(a/2 + (b*x)/2))/(8*b) + ((17*tan(a/2 + (b*x)/2)^3)/24 - tan(a/2 + (b*x)/2)/8 + (19*tan(a/2 + (b*x)/2)^5)/4 + (19*tan(a/2 + (b*x)/2)^7)/4 + (17*tan(a/2 + (b*x)/2)^9)/24 - tan(a/2 + (b*x)/2)^11/8)/(b*(15*tan(a/2 + (b*x)/2)^4 - 6*tan(a/2 + (b*x)/2)^2 - 20*tan(a/2 + (b*x)/2)^6 + 15*tan(a/2 + (b*x)/2)^8 - 6*tan(a/2 + (b*x)/2)^10 + tan(a/2 + (b*x)/2)^12 + 1))","B"
97,1,229,99,7.442295,"\text{Not used}","int(sin(a + b*x)^4/cos(a + b*x)^9,x)","\frac{3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{64\,b}+\frac{-\frac{3\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^{15}}{64}+\frac{23\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^{13}}{64}+\frac{333\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^{11}}{64}+\frac{671\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^9}{64}+\frac{671\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^7}{64}+\frac{333\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^5}{64}+\frac{23\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^3}{64}-\frac{3\,\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}{64}}{b\,\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^{16}-8\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^{14}+28\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^{12}-56\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^{10}+70\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^8-56\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^6+28\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4-8\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2+1\right)}","Not used",1,"(3*atanh(tan(a/2 + (b*x)/2)))/(64*b) + ((23*tan(a/2 + (b*x)/2)^3)/64 - (3*tan(a/2 + (b*x)/2))/64 + (333*tan(a/2 + (b*x)/2)^5)/64 + (671*tan(a/2 + (b*x)/2)^7)/64 + (671*tan(a/2 + (b*x)/2)^9)/64 + (333*tan(a/2 + (b*x)/2)^11)/64 + (23*tan(a/2 + (b*x)/2)^13)/64 - (3*tan(a/2 + (b*x)/2)^15)/64)/(b*(28*tan(a/2 + (b*x)/2)^4 - 8*tan(a/2 + (b*x)/2)^2 - 56*tan(a/2 + (b*x)/2)^6 + 70*tan(a/2 + (b*x)/2)^8 - 56*tan(a/2 + (b*x)/2)^10 + 28*tan(a/2 + (b*x)/2)^12 - 8*tan(a/2 + (b*x)/2)^14 + tan(a/2 + (b*x)/2)^16 + 1))","B"
98,1,35,46,0.409224,"\text{Not used}","int(cos(a + b*x)^7*sin(a + b*x)^5,x)","-\frac{{\cos\left(a+b\,x\right)}^8\,\left(10\,{\cos\left(a+b\,x\right)}^4-24\,{\cos\left(a+b\,x\right)}^2+15\right)}{120\,b}","Not used",1,"-(cos(a + b*x)^8*(10*cos(a + b*x)^4 - 24*cos(a + b*x)^2 + 15))/(120*b)","B"
99,1,36,46,0.408871,"\text{Not used}","int(cos(a + b*x)^6*sin(a + b*x)^5,x)","-\frac{63\,{\cos\left(a+b\,x\right)}^{11}-154\,{\cos\left(a+b\,x\right)}^9+99\,{\cos\left(a+b\,x\right)}^7}{693\,b}","Not used",1,"-(99*cos(a + b*x)^7 - 154*cos(a + b*x)^9 + 63*cos(a + b*x)^11)/(693*b)","B"
100,1,36,46,0.476848,"\text{Not used}","int(cos(a + b*x)^5*sin(a + b*x)^5,x)","-\frac{\frac{{\cos\left(a+b\,x\right)}^{10}}{10}-\frac{{\cos\left(a+b\,x\right)}^8}{4}+\frac{{\cos\left(a+b\,x\right)}^6}{6}}{b}","Not used",1,"-(cos(a + b*x)^6/6 - cos(a + b*x)^8/4 + cos(a + b*x)^10/10)/b","B"
101,1,36,46,0.376251,"\text{Not used}","int(cos(a + b*x)^4*sin(a + b*x)^5,x)","-\frac{35\,{\cos\left(a+b\,x\right)}^9-90\,{\cos\left(a+b\,x\right)}^7+63\,{\cos\left(a+b\,x\right)}^5}{315\,b}","Not used",1,"-(63*cos(a + b*x)^5 - 90*cos(a + b*x)^7 + 35*cos(a + b*x)^9)/(315*b)","B"
102,1,26,31,0.382696,"\text{Not used}","int(cos(a + b*x)^3*sin(a + b*x)^5,x)","\frac{4\,{\sin\left(a+b\,x\right)}^6-3\,{\sin\left(a+b\,x\right)}^8}{24\,b}","Not used",1,"(4*sin(a + b*x)^6 - 3*sin(a + b*x)^8)/(24*b)","B"
103,1,36,46,0.370499,"\text{Not used}","int(cos(a + b*x)^2*sin(a + b*x)^5,x)","-\frac{15\,{\cos\left(a+b\,x\right)}^7-42\,{\cos\left(a+b\,x\right)}^5+35\,{\cos\left(a+b\,x\right)}^3}{105\,b}","Not used",1,"-(35*cos(a + b*x)^3 - 42*cos(a + b*x)^5 + 15*cos(a + b*x)^7)/(105*b)","B"
104,1,13,15,0.047489,"\text{Not used}","int(cos(a + b*x)*sin(a + b*x)^5,x)","\frac{{\sin\left(a+b\,x\right)}^6}{6\,b}","Not used",1,"sin(a + b*x)^6/(6*b)","B"
105,1,53,40,0.536863,"\text{Not used}","int(sin(a + b*x)^5/cos(a + b*x),x)","\frac{\ln\left({\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}{2\,b}+\frac{{\mathrm{tan}\left(a+b\,x\right)}^2+\frac{3}{4}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^4+2\,{\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}","Not used",1,"log(tan(a + b*x)^2 + 1)/(2*b) + (tan(a + b*x)^2 + 3/4)/(b*(2*tan(a + b*x)^2 + tan(a + b*x)^4 + 1))","B"
106,1,31,37,0.495451,"\text{Not used}","int(sin(a + b*x)^5/cos(a + b*x)^2,x)","-\frac{{\left(\cos\left(a+b\,x\right)+1\right)}^3\,\left(\cos\left(a+b\,x\right)-3\right)}{3\,b\,\cos\left(a+b\,x\right)}","Not used",1,"-((cos(a + b*x) + 1)^3*(cos(a + b*x) - 3))/(3*b*cos(a + b*x))","B"
107,1,37,43,0.403764,"\text{Not used}","int(sin(a + b*x)^5/cos(a + b*x)^3,x)","-\frac{\ln\left({\mathrm{tan}\left(a+b\,x\right)}^2+1\right)+\frac{{\cos\left(a+b\,x\right)}^2}{2}-\frac{{\mathrm{tan}\left(a+b\,x\right)}^2}{2}}{b}","Not used",1,"-(log(tan(a + b*x)^2 + 1) + cos(a + b*x)^2/2 - tan(a + b*x)^2/2)/b","B"
108,1,35,38,0.534849,"\text{Not used}","int(sin(a + b*x)^5/cos(a + b*x)^4,x)","-\frac{3\,{\cos\left(a+b\,x\right)}^4+6\,{\cos\left(a+b\,x\right)}^2-1}{3\,b\,{\cos\left(a+b\,x\right)}^3}","Not used",1,"-(6*cos(a + b*x)^2 + 3*cos(a + b*x)^4 - 1)/(3*b*cos(a + b*x)^3)","B"
109,1,38,43,0.396801,"\text{Not used}","int(sin(a + b*x)^5/cos(a + b*x)^5,x)","\frac{\frac{\ln\left({\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}{2}-\frac{{\mathrm{tan}\left(a+b\,x\right)}^2}{2}+\frac{{\mathrm{tan}\left(a+b\,x\right)}^4}{4}}{b}","Not used",1,"(log(tan(a + b*x)^2 + 1)/2 - tan(a + b*x)^2/2 + tan(a + b*x)^4/4)/b","B"
110,1,35,41,0.542212,"\text{Not used}","int(sin(a + b*x)^5/cos(a + b*x)^6,x)","\frac{15\,{\cos\left(a+b\,x\right)}^4-10\,{\cos\left(a+b\,x\right)}^2+3}{15\,b\,{\cos\left(a+b\,x\right)}^5}","Not used",1,"(15*cos(a + b*x)^4 - 10*cos(a + b*x)^2 + 3)/(15*b*cos(a + b*x)^5)","B"
111,1,13,15,0.421568,"\text{Not used}","int(sin(a + b*x)^5/cos(a + b*x)^7,x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^6}{6\,b}","Not used",1,"tan(a + b*x)^6/(6*b)","B"
112,1,35,46,0.594095,"\text{Not used}","int(sin(a + b*x)^5/cos(a + b*x)^8,x)","\frac{35\,{\cos\left(a+b\,x\right)}^4-42\,{\cos\left(a+b\,x\right)}^2+15}{105\,b\,{\cos\left(a+b\,x\right)}^7}","Not used",1,"(35*cos(a + b*x)^4 - 42*cos(a + b*x)^2 + 15)/(105*b*cos(a + b*x)^7)","B"
113,1,25,31,0.416010,"\text{Not used}","int(sin(a + b*x)^5/cos(a + b*x)^9,x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^6\,\left(3\,{\mathrm{tan}\left(a+b\,x\right)}^2+4\right)}{24\,b}","Not used",1,"(tan(a + b*x)^6*(3*tan(a + b*x)^2 + 4))/(24*b)","B"
114,1,35,46,0.767322,"\text{Not used}","int(sin(a + b*x)^5/cos(a + b*x)^10,x)","\frac{63\,{\cos\left(a+b\,x\right)}^4-90\,{\cos\left(a+b\,x\right)}^2+35}{315\,b\,{\cos\left(a+b\,x\right)}^9}","Not used",1,"(63*cos(a + b*x)^4 - 90*cos(a + b*x)^2 + 35)/(315*b*cos(a + b*x)^9)","B"
115,1,35,46,0.442391,"\text{Not used}","int(sin(a + b*x)^5/cos(a + b*x)^11,x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^6\,\left(6\,{\mathrm{tan}\left(a+b\,x\right)}^4+15\,{\mathrm{tan}\left(a+b\,x\right)}^2+10\right)}{60\,b}","Not used",1,"(tan(a + b*x)^6*(15*tan(a + b*x)^2 + 6*tan(a + b*x)^4 + 10))/(60*b)","B"
116,1,35,46,1.021990,"\text{Not used}","int(sin(a + b*x)^5/cos(a + b*x)^12,x)","\frac{99\,{\cos\left(a+b\,x\right)}^4-154\,{\cos\left(a+b\,x\right)}^2+63}{693\,b\,{\cos\left(a+b\,x\right)}^{11}}","Not used",1,"(99*cos(a + b*x)^4 - 154*cos(a + b*x)^2 + 63)/(693*b*cos(a + b*x)^11)","B"
117,1,45,46,0.420168,"\text{Not used}","int(sin(a + b*x)^5/cos(a + b*x)^13,x)","\frac{\frac{{\mathrm{tan}\left(a+b\,x\right)}^{12}}{12}+\frac{3\,{\mathrm{tan}\left(a+b\,x\right)}^{10}}{10}+\frac{3\,{\mathrm{tan}\left(a+b\,x\right)}^8}{8}+\frac{{\mathrm{tan}\left(a+b\,x\right)}^6}{6}}{b}","Not used",1,"(tan(a + b*x)^6/6 + (3*tan(a + b*x)^8)/8 + (3*tan(a + b*x)^10)/10 + tan(a + b*x)^12/12)/b","B"
118,1,147,66,7.241587,"\text{Not used}","int(sin(a + b*x)^6/cos(a + b*x)^3,x)","\frac{5\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^9+\frac{20\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^7}{3}-\frac{22\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^5}{3}+\frac{20\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^3}{3}+5\,\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}{b\,\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^{10}+{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^8-2\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^6-2\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4+{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2+1\right)}-\frac{5\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{b}","Not used",1,"(5*tan(a/2 + (b*x)/2) + (20*tan(a/2 + (b*x)/2)^3)/3 - (22*tan(a/2 + (b*x)/2)^5)/3 + (20*tan(a/2 + (b*x)/2)^7)/3 + 5*tan(a/2 + (b*x)/2)^9)/(b*(tan(a/2 + (b*x)/2)^2 - 2*tan(a/2 + (b*x)/2)^4 - 2*tan(a/2 + (b*x)/2)^6 + tan(a/2 + (b*x)/2)^8 + tan(a/2 + (b*x)/2)^10 + 1)) - (5*atanh(tan(a/2 + (b*x)/2)))/b","B"
119,1,50,50,0.539593,"\text{Not used}","int(sin(a + b*x)^7/cos(a + b*x)^6,x)","\frac{\cos\left(a+b\,x\right)}{b}+\frac{3}{b\,\cos\left(a+b\,x\right)}-\frac{1}{b\,{\cos\left(a+b\,x\right)}^3}+\frac{1}{5\,b\,{\cos\left(a+b\,x\right)}^5}","Not used",1,"cos(a + b*x)/b + 3/(b*cos(a + b*x)) - 1/(b*cos(a + b*x)^3) + 1/(5*b*cos(a + b*x)^5)","B"
120,1,88,53,5.369674,"\text{Not used}","int(cos(a + b*x)^6/sin(a + b*x),x)","\frac{\ln\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{b}+\frac{6\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^8+12\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^6+\frac{56\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4}{3}+\frac{28\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2}{3}+\frac{46}{15}}{b\,{\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2+1\right)}^5}","Not used",1,"log(tan(a/2 + (b*x)/2))/b + ((28*tan(a/2 + (b*x)/2)^2)/3 + (56*tan(a/2 + (b*x)/2)^4)/3 + 12*tan(a/2 + (b*x)/2)^6 + 6*tan(a/2 + (b*x)/2)^8 + 46/15)/(b*(tan(a/2 + (b*x)/2)^2 + 1)^5)","B"
121,1,66,40,0.504233,"\text{Not used}","int(cos(a + b*x)^5/sin(a + b*x),x)","\frac{\ln\left(\mathrm{tan}\left(a+b\,x\right)\right)}{b}-\frac{\ln\left({\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}{2\,b}+\frac{\frac{{\mathrm{tan}\left(a+b\,x\right)}^2}{2}+\frac{3}{4}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^4+2\,{\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}","Not used",1,"log(tan(a + b*x))/b - log(tan(a + b*x)^2 + 1)/(2*b) + (tan(a + b*x)^2/2 + 3/4)/(b*(2*tan(a + b*x)^2 + tan(a + b*x)^4 + 1))","B"
122,1,62,38,1.684899,"\text{Not used}","int(cos(a + b*x)^4/sin(a + b*x),x)","\frac{\ln\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{b}+\frac{4\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4+4\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2+\frac{8}{3}}{b\,{\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2+1\right)}^3}","Not used",1,"log(tan(a/2 + (b*x)/2))/b + (4*tan(a/2 + (b*x)/2)^2 + 4*tan(a/2 + (b*x)/2)^4 + 8/3)/(b*(tan(a/2 + (b*x)/2)^2 + 1)^3)","B"
123,1,35,27,0.413834,"\text{Not used}","int(cos(a + b*x)^3/sin(a + b*x),x)","\frac{\frac{{\cos\left(a+b\,x\right)}^2}{2}-\frac{\ln\left({\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}{2}+\ln\left(\mathrm{tan}\left(a+b\,x\right)\right)}{b}","Not used",1,"(log(tan(a + b*x)) - log(tan(a + b*x)^2 + 1)/2 + cos(a + b*x)^2/2)/b","B"
124,1,35,23,0.461873,"\text{Not used}","int(cos(a + b*x)^2/sin(a + b*x),x)","\frac{2}{b\,\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2+1\right)}+\frac{\ln\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{b}","Not used",1,"2/(b*(tan(a/2 + (b*x)/2)^2 + 1)) + log(tan(a/2 + (b*x)/2))/b","B"
125,1,26,11,0.405581,"\text{Not used}","int(cos(a + b*x)/sin(a + b*x),x)","-\frac{\ln\left({\mathrm{tan}\left(a+b\,x\right)}^2+1\right)-2\,\ln\left(\mathrm{tan}\left(a+b\,x\right)\right)}{2\,b}","Not used",1,"-(log(tan(a + b*x)^2 + 1) - 2*log(tan(a + b*x)))/(2*b)","B"
126,1,11,11,0.386093,"\text{Not used}","int(1/(cos(a + b*x)*sin(a + b*x)),x)","\frac{\ln\left(\mathrm{tan}\left(a+b\,x\right)\right)}{b}","Not used",1,"log(tan(a + b*x))/b","B"
127,1,23,23,0.083951,"\text{Not used}","int(1/(cos(a + b*x)^2*sin(a + b*x)),x)","-\frac{\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)-\frac{1}{\cos\left(a+b\,x\right)}}{b}","Not used",1,"-(atanh(cos(a + b*x)) - 1/cos(a + b*x))/b","B"
128,1,35,27,0.096004,"\text{Not used}","int(1/(cos(a + b*x)^3*sin(a + b*x)),x)","\frac{\frac{\ln\left({\sin\left(a+b\,x\right)}^2\right)}{2}-\ln\left(\cos\left(a+b\,x\right)\right)+\frac{1}{2\,{\cos\left(a+b\,x\right)}^2}}{b}","Not used",1,"(log(sin(a + b*x)^2)/2 - log(cos(a + b*x)) + 1/(2*cos(a + b*x)^2))/b","B"
129,1,33,38,0.394446,"\text{Not used}","int(1/(cos(a + b*x)^4*sin(a + b*x)),x)","-\frac{\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)-\frac{{\cos\left(a+b\,x\right)}^2+\frac{1}{3}}{{\cos\left(a+b\,x\right)}^3}}{b}","Not used",1,"-(atanh(cos(a + b*x)) - (cos(a + b*x)^2 + 1/3)/cos(a + b*x)^3)/b","B"
130,1,46,39,0.408817,"\text{Not used}","int(1/(cos(a + b*x)^5*sin(a + b*x)),x)","\frac{\frac{\ln\left({\sin\left(a+b\,x\right)}^2\right)}{2}-\ln\left(\cos\left(a+b\,x\right)\right)+\frac{\frac{{\cos\left(a+b\,x\right)}^2}{2}+\frac{1}{4}}{{\cos\left(a+b\,x\right)}^4}}{b}","Not used",1,"(log(sin(a + b*x)^2)/2 - log(cos(a + b*x)) + (cos(a + b*x)^2/2 + 1/4)/cos(a + b*x)^4)/b","B"
131,1,45,53,0.402621,"\text{Not used}","int(1/(cos(a + b*x)^6*sin(a + b*x)),x)","\frac{{\cos\left(a+b\,x\right)}^4+\frac{{\cos\left(a+b\,x\right)}^2}{3}+\frac{1}{5}}{b\,{\cos\left(a+b\,x\right)}^5}-\frac{\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{b}","Not used",1,"(cos(a + b*x)^2/3 + cos(a + b*x)^4 + 1/5)/(b*cos(a + b*x)^5) - atanh(cos(a + b*x))/b","B"
132,1,56,57,0.400160,"\text{Not used}","int(1/(cos(a + b*x)^7*sin(a + b*x)),x)","\frac{\frac{\ln\left({\sin\left(a+b\,x\right)}^2\right)}{2}-\ln\left(\cos\left(a+b\,x\right)\right)+\frac{\frac{{\cos\left(a+b\,x\right)}^4}{2}+\frac{{\cos\left(a+b\,x\right)}^2}{4}+\frac{1}{6}}{{\cos\left(a+b\,x\right)}^6}}{b}","Not used",1,"(log(sin(a + b*x)^2)/2 - log(cos(a + b*x)) + (cos(a + b*x)^2/4 + cos(a + b*x)^4/2 + 1/6)/cos(a + b*x)^6)/b","B"
133,1,43,50,0.475426,"\text{Not used}","int(cos(a + b*x)^7/sin(a + b*x)^2,x)","-\frac{{\sin\left(a+b\,x\right)}^6-5\,{\sin\left(a+b\,x\right)}^4+15\,{\sin\left(a+b\,x\right)}^2+5}{5\,b\,\sin\left(a+b\,x\right)}","Not used",1,"-(15*sin(a + b*x)^2 - 5*sin(a + b*x)^4 + sin(a + b*x)^6 + 5)/(5*b*sin(a + b*x))","B"
134,1,47,61,0.589290,"\text{Not used}","int(cos(a + b*x)^6/sin(a + b*x)^2,x)","-\frac{15\,x}{8}-\frac{{\cos\left(a+b\,x\right)}^4\,\left(\frac{15\,{\mathrm{tan}\left(a+b\,x\right)}^4}{8}+\frac{25\,{\mathrm{tan}\left(a+b\,x\right)}^2}{8}+1\right)}{b\,\mathrm{tan}\left(a+b\,x\right)}","Not used",1,"- (15*x)/8 - (cos(a + b*x)^4*((25*tan(a + b*x)^2)/8 + (15*tan(a + b*x)^4)/8 + 1))/(b*tan(a + b*x))","B"
135,1,35,38,0.447598,"\text{Not used}","int(cos(a + b*x)^5/sin(a + b*x)^2,x)","-\frac{-{\sin\left(a+b\,x\right)}^4+6\,{\sin\left(a+b\,x\right)}^2+3}{3\,b\,\sin\left(a+b\,x\right)}","Not used",1,"-(6*sin(a + b*x)^2 - sin(a + b*x)^4 + 3)/(3*b*sin(a + b*x))","B"
136,1,43,40,0.567618,"\text{Not used}","int(cos(a + b*x)^4/sin(a + b*x)^2,x)","-\frac{9\,\cos\left(a+b\,x\right)-\cos\left(3\,a+3\,b\,x\right)+12\,b\,x\,\sin\left(a+b\,x\right)}{8\,b\,\sin\left(a+b\,x\right)}","Not used",1,"-(9*cos(a + b*x) - cos(3*a + 3*b*x) + 12*b*x*sin(a + b*x))/(8*b*sin(a + b*x))","B"
137,1,23,23,0.446132,"\text{Not used}","int(cos(a + b*x)^3/sin(a + b*x)^2,x)","-\frac{{\sin\left(a+b\,x\right)}^2+1}{b\,\sin\left(a+b\,x\right)}","Not used",1,"-(sin(a + b*x)^2 + 1)/(b*sin(a + b*x))","B"
138,1,15,15,0.411346,"\text{Not used}","int(cos(a + b*x)^2/sin(a + b*x)^2,x)","-x-\frac{\mathrm{cot}\left(a+b\,x\right)}{b}","Not used",1,"- x - cot(a + b*x)/b","B"
139,1,13,11,0.419268,"\text{Not used}","int(cos(a + b*x)/sin(a + b*x)^2,x)","-\frac{1}{b\,\sin\left(a+b\,x\right)}","Not used",1,"-1/(b*sin(a + b*x))","B"
140,1,22,23,0.020935,"\text{Not used}","int(1/(cos(a + b*x)*sin(a + b*x)^2),x)","\frac{\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)-\frac{1}{\sin\left(a+b\,x\right)}}{b}","Not used",1,"(atanh(sin(a + b*x)) - 1/sin(a + b*x))/b","B"
141,1,14,22,0.392857,"\text{Not used}","int(1/(cos(a + b*x)^2*sin(a + b*x)^2),x)","-\frac{2\,\mathrm{cot}\left(2\,a+2\,b\,x\right)}{b}","Not used",1,"-(2*cot(2*a + 2*b*x))/b","B"
142,1,48,49,0.429284,"\text{Not used}","int(1/(cos(a + b*x)^3*sin(a + b*x)^2),x)","\frac{3\,\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{2\,b}+\frac{\frac{3\,{\sin\left(a+b\,x\right)}^2}{2}-1}{b\,\left(\sin\left(a+b\,x\right)-{\sin\left(a+b\,x\right)}^3\right)}","Not used",1,"(3*atanh(sin(a + b*x)))/(2*b) + ((3*sin(a + b*x)^2)/2 - 1)/(b*(sin(a + b*x) - sin(a + b*x)^3))","B"
143,1,33,38,0.411634,"\text{Not used}","int(1/(cos(a + b*x)^4*sin(a + b*x)^2),x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^4+6\,{\mathrm{tan}\left(a+b\,x\right)}^2-3}{3\,b\,\mathrm{tan}\left(a+b\,x\right)}","Not used",1,"(6*tan(a + b*x)^2 + tan(a + b*x)^4 - 3)/(3*b*tan(a + b*x))","B"
144,1,67,70,0.093726,"\text{Not used}","int(1/(cos(a + b*x)^5*sin(a + b*x)^2),x)","\frac{15\,\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{8\,b}-\frac{\frac{15\,{\sin\left(a+b\,x\right)}^4}{8}-\frac{25\,{\sin\left(a+b\,x\right)}^2}{8}+1}{b\,\left({\sin\left(a+b\,x\right)}^5-2\,{\sin\left(a+b\,x\right)}^3+\sin\left(a+b\,x\right)\right)}","Not used",1,"(15*atanh(sin(a + b*x)))/(8*b) - ((15*sin(a + b*x)^4)/8 - (25*sin(a + b*x)^2)/8 + 1)/(b*(sin(a + b*x) - 2*sin(a + b*x)^3 + sin(a + b*x)^5))","B"
145,1,85,58,0.694163,"\text{Not used}","int(cos(a + b*x)^7/sin(a + b*x)^3,x)","\frac{3\,\ln\left({\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}{2\,b}-\frac{3\,\ln\left(\mathrm{tan}\left(a+b\,x\right)\right)}{b}-\frac{\frac{3\,{\mathrm{tan}\left(a+b\,x\right)}^4}{2}+\frac{9\,{\mathrm{tan}\left(a+b\,x\right)}^2}{4}+\frac{1}{2}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^6+2\,{\mathrm{tan}\left(a+b\,x\right)}^4+{\mathrm{tan}\left(a+b\,x\right)}^2\right)}","Not used",1,"(3*log(tan(a + b*x)^2 + 1))/(2*b) - (3*log(tan(a + b*x)))/b - ((9*tan(a + b*x)^2)/4 + (3*tan(a + b*x)^4)/2 + 1/2)/(b*(tan(a + b*x)^2 + 2*tan(a + b*x)^4 + tan(a + b*x)^6))","B"
146,1,129,66,1.345801,"\text{Not used}","int(cos(a + b*x)^6/sin(a + b*x)^3,x)","\frac{{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2}{8\,b}-\frac{5\,\ln\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{2\,b}-\frac{\frac{49\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^6}{8}+\frac{67\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4}{8}+\frac{121\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2}{24}+\frac{1}{8}}{b\,\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^8+3\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^6+3\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4+{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2\right)}","Not used",1,"tan(a/2 + (b*x)/2)^2/(8*b) - (5*log(tan(a/2 + (b*x)/2)))/(2*b) - ((121*tan(a/2 + (b*x)/2)^2)/24 + (67*tan(a/2 + (b*x)/2)^4)/8 + (49*tan(a/2 + (b*x)/2)^6)/8 + 1/8)/(b*(tan(a/2 + (b*x)/2)^2 + 3*tan(a/2 + (b*x)/2)^4 + 3*tan(a/2 + (b*x)/2)^6 + tan(a/2 + (b*x)/2)^8))","B"
147,1,62,43,0.461581,"\text{Not used}","int(cos(a + b*x)^5/sin(a + b*x)^3,x)","\frac{\ln\left({\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}{b}-\frac{2\,\ln\left(\mathrm{tan}\left(a+b\,x\right)\right)}{b}-\frac{{\mathrm{tan}\left(a+b\,x\right)}^2+\frac{1}{2}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^4+{\mathrm{tan}\left(a+b\,x\right)}^2\right)}","Not used",1,"log(tan(a + b*x)^2 + 1)/b - (2*log(tan(a + b*x)))/b - (tan(a + b*x)^2 + 1/2)/(b*(tan(a + b*x)^2 + tan(a + b*x)^4))","B"
148,1,77,49,0.538889,"\text{Not used}","int(cos(a + b*x)^4/sin(a + b*x)^3,x)","\frac{{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2}{8\,b}-\frac{3\,\ln\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{2\,b}-\frac{\frac{17\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2}{8}+\frac{1}{8}}{b\,\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4+{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2\right)}","Not used",1,"tan(a/2 + (b*x)/2)^2/(8*b) - (3*log(tan(a/2 + (b*x)/2)))/(2*b) - ((17*tan(a/2 + (b*x)/2)^2)/8 + 1/8)/(b*(tan(a/2 + (b*x)/2)^2 + tan(a/2 + (b*x)/2)^4))","B"
149,1,36,28,0.428965,"\text{Not used}","int(cos(a + b*x)^3/sin(a + b*x)^3,x)","-\frac{{\mathrm{cot}\left(a+b\,x\right)}^2-\ln\left({\mathrm{tan}\left(a+b\,x\right)}^2+1\right)+2\,\ln\left(\mathrm{tan}\left(a+b\,x\right)\right)}{2\,b}","Not used",1,"-(2*log(tan(a + b*x)) - log(tan(a + b*x)^2 + 1) + cot(a + b*x)^2)/(2*b)","B"
150,1,48,34,0.448929,"\text{Not used}","int(cos(a + b*x)^2/sin(a + b*x)^3,x)","\frac{{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2}{8\,b}-\frac{1}{8\,b\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2}-\frac{\ln\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{2\,b}","Not used",1,"tan(a/2 + (b*x)/2)^2/(8*b) - 1/(8*b*tan(a/2 + (b*x)/2)^2) - log(tan(a/2 + (b*x)/2))/(2*b)","B"
151,1,13,15,0.392453,"\text{Not used}","int(cos(a + b*x)/sin(a + b*x)^3,x)","-\frac{1}{2\,b\,{\sin\left(a+b\,x\right)}^2}","Not used",1,"-1/(2*b*sin(a + b*x)^2)","B"
152,1,34,27,0.050132,"\text{Not used}","int(1/(cos(a + b*x)*sin(a + b*x)^3),x)","-\frac{\ln\left(\cos\left(a+b\,x\right)\right)-\frac{\ln\left({\sin\left(a+b\,x\right)}^2\right)}{2}+\frac{1}{2\,{\sin\left(a+b\,x\right)}^2}}{b}","Not used",1,"-(log(cos(a + b*x)) - log(sin(a + b*x)^2)/2 + 1/(2*sin(a + b*x)^2))/b","B"
153,1,49,49,0.033716,"\text{Not used}","int(1/(cos(a + b*x)^2*sin(a + b*x)^3),x)","-\frac{3\,\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{2\,b}-\frac{\frac{3\,{\cos\left(a+b\,x\right)}^2}{2}-1}{b\,\left(\cos\left(a+b\,x\right)-{\cos\left(a+b\,x\right)}^3\right)}","Not used",1,"- (3*atanh(cos(a + b*x)))/(2*b) - ((3*cos(a + b*x)^2)/2 - 1)/(b*(cos(a + b*x) - cos(a + b*x)^3))","B"
154,1,39,43,0.378707,"\text{Not used}","int(1/(cos(a + b*x)^3*sin(a + b*x)^3),x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^2}{2\,b}-\frac{1}{2\,b\,{\mathrm{tan}\left(a+b\,x\right)}^2}+\frac{2\,\ln\left(\mathrm{tan}\left(a+b\,x\right)\right)}{b}","Not used",1,"tan(a + b*x)^2/(2*b) - 1/(2*b*tan(a + b*x)^2) + (2*log(tan(a + b*x)))/b","B"
155,1,60,66,0.457945,"\text{Not used}","int(1/(cos(a + b*x)^4*sin(a + b*x)^3),x)","\frac{-\frac{5\,{\cos\left(a+b\,x\right)}^4}{2}+\frac{5\,{\cos\left(a+b\,x\right)}^2}{3}+\frac{1}{3}}{b\,\left({\cos\left(a+b\,x\right)}^3-{\cos\left(a+b\,x\right)}^5\right)}-\frac{5\,\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{2\,b}","Not used",1,"((5*cos(a + b*x)^2)/3 - (5*cos(a + b*x)^4)/2 + 1/3)/(b*(cos(a + b*x)^3 - cos(a + b*x)^5)) - (5*atanh(cos(a + b*x)))/(2*b)","B"
156,1,74,58,0.437660,"\text{Not used}","int(1/(cos(a + b*x)^5*sin(a + b*x)^3),x)","\frac{3\,\ln\left({\sin\left(a+b\,x\right)}^2\right)}{2\,b}-\frac{3\,\ln\left(\cos\left(a+b\,x\right)\right)}{b}+\frac{-\frac{3\,{\cos\left(a+b\,x\right)}^4}{2}+\frac{3\,{\cos\left(a+b\,x\right)}^2}{4}+\frac{1}{4}}{b\,\left({\cos\left(a+b\,x\right)}^4-{\cos\left(a+b\,x\right)}^6\right)}","Not used",1,"(3*log(sin(a + b*x)^2))/(2*b) - (3*log(cos(a + b*x)))/b + ((3*cos(a + b*x)^2)/4 - (3*cos(a + b*x)^4)/2 + 1/4)/(b*(cos(a + b*x)^4 - cos(a + b*x)^6))","B"
157,1,55,68,0.524672,"\text{Not used}","int(cos(a + b*x)^9/sin(a + b*x)^4,x)","\frac{3\,{\sin\left(a+b\,x\right)}^8-20\,{\sin\left(a+b\,x\right)}^6+90\,{\sin\left(a+b\,x\right)}^4+60\,{\sin\left(a+b\,x\right)}^2-5}{15\,b\,{\sin\left(a+b\,x\right)}^3}","Not used",1,"(60*sin(a + b*x)^2 + 90*sin(a + b*x)^4 - 20*sin(a + b*x)^6 + 3*sin(a + b*x)^8 - 5)/(15*b*sin(a + b*x)^3)","B"
158,1,56,80,1.582910,"\text{Not used}","int(cos(a + b*x)^8/sin(a + b*x)^4,x)","\frac{35\,x}{8}+\frac{{\cos\left(a+b\,x\right)}^4\,\left(\frac{35\,{\mathrm{tan}\left(a+b\,x\right)}^6}{8}+\frac{175\,{\mathrm{tan}\left(a+b\,x\right)}^4}{24}+\frac{7\,{\mathrm{tan}\left(a+b\,x\right)}^2}{3}-\frac{1}{3}\right)}{b\,{\mathrm{tan}\left(a+b\,x\right)}^3}","Not used",1,"(35*x)/8 + (cos(a + b*x)^4*((7*tan(a + b*x)^2)/3 + (175*tan(a + b*x)^4)/24 + (35*tan(a + b*x)^6)/8 - 1/3))/(b*tan(a + b*x)^3)","B"
159,1,45,53,0.478815,"\text{Not used}","int(cos(a + b*x)^7/sin(a + b*x)^4,x)","\frac{-{\sin\left(a+b\,x\right)}^6+9\,{\sin\left(a+b\,x\right)}^4+9\,{\sin\left(a+b\,x\right)}^2-1}{3\,b\,{\sin\left(a+b\,x\right)}^3}","Not used",1,"(9*sin(a + b*x)^2 + 9*sin(a + b*x)^4 - sin(a + b*x)^6 - 1)/(3*b*sin(a + b*x)^3)","B"
160,1,46,57,0.724883,"\text{Not used}","int(cos(a + b*x)^6/sin(a + b*x)^4,x)","\frac{5\,x}{2}+\frac{{\cos\left(a+b\,x\right)}^2\,\left(\frac{5\,{\mathrm{tan}\left(a+b\,x\right)}^4}{2}+\frac{5\,{\mathrm{tan}\left(a+b\,x\right)}^2}{3}-\frac{1}{3}\right)}{b\,{\mathrm{tan}\left(a+b\,x\right)}^3}","Not used",1,"(5*x)/2 + (cos(a + b*x)^2*((5*tan(a + b*x)^2)/3 + (5*tan(a + b*x)^4)/2 - 1/3))/(b*tan(a + b*x)^3)","B"
161,1,32,37,0.449918,"\text{Not used}","int(cos(a + b*x)^5/sin(a + b*x)^4,x)","\frac{{\sin\left(a+b\,x\right)}^4+2\,{\sin\left(a+b\,x\right)}^2-\frac{1}{3}}{b\,{\sin\left(a+b\,x\right)}^3}","Not used",1,"(2*sin(a + b*x)^2 + sin(a + b*x)^4 - 1/3)/(b*sin(a + b*x)^3)","B"
162,1,24,27,0.451321,"\text{Not used}","int(cos(a + b*x)^4/sin(a + b*x)^4,x)","x+\frac{{\mathrm{tan}\left(a+b\,x\right)}^2-\frac{1}{3}}{b\,{\mathrm{tan}\left(a+b\,x\right)}^3}","Not used",1,"x + (tan(a + b*x)^2 - 1/3)/(b*tan(a + b*x)^3)","B"
163,1,22,26,0.433642,"\text{Not used}","int(cos(a + b*x)^3/sin(a + b*x)^4,x)","\frac{{\sin\left(a+b\,x\right)}^2-\frac{1}{3}}{b\,{\sin\left(a+b\,x\right)}^3}","Not used",1,"(sin(a + b*x)^2 - 1/3)/(b*sin(a + b*x)^3)","B"
164,1,13,15,0.383401,"\text{Not used}","int(cos(a + b*x)^2/sin(a + b*x)^4,x)","-\frac{{\mathrm{cot}\left(a+b\,x\right)}^3}{3\,b}","Not used",1,"-cot(a + b*x)^3/(3*b)","B"
165,1,13,15,0.425542,"\text{Not used}","int(cos(a + b*x)/sin(a + b*x)^4,x)","-\frac{1}{3\,b\,{\sin\left(a+b\,x\right)}^3}","Not used",1,"-1/(3*b*sin(a + b*x)^3)","B"
166,1,32,38,0.024527,"\text{Not used}","int(1/(cos(a + b*x)*sin(a + b*x)^4),x)","\frac{\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)-\frac{{\sin\left(a+b\,x\right)}^2+\frac{1}{3}}{{\sin\left(a+b\,x\right)}^3}}{b}","Not used",1,"(atanh(sin(a + b*x)) - (sin(a + b*x)^2 + 1/3)/sin(a + b*x)^3)/b","B"
167,1,36,37,0.417807,"\text{Not used}","int(1/(cos(a + b*x)^2*sin(a + b*x)^4),x)","\frac{\mathrm{tan}\left(a+b\,x\right)}{b}-\frac{2\,{\mathrm{tan}\left(a+b\,x\right)}^2+\frac{1}{3}}{b\,{\mathrm{tan}\left(a+b\,x\right)}^3}","Not used",1,"tan(a + b*x)/b - (2*tan(a + b*x)^2 + 1/3)/(b*tan(a + b*x)^3)","B"
168,1,61,66,0.381703,"\text{Not used}","int(1/(cos(a + b*x)^3*sin(a + b*x)^4),x)","\frac{5\,\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{2\,b}-\frac{-\frac{5\,{\sin\left(a+b\,x\right)}^4}{2}+\frac{5\,{\sin\left(a+b\,x\right)}^2}{3}+\frac{1}{3}}{b\,\left({\sin\left(a+b\,x\right)}^3-{\sin\left(a+b\,x\right)}^5\right)}","Not used",1,"(5*atanh(sin(a + b*x)))/(2*b) - ((5*sin(a + b*x)^2)/3 - (5*sin(a + b*x)^4)/2 + 1/3)/(b*(sin(a + b*x)^3 - sin(a + b*x)^5))","B"
169,1,45,53,0.460727,"\text{Not used}","int(1/(cos(a + b*x)^4*sin(a + b*x)^4),x)","-\frac{-{\mathrm{tan}\left(a+b\,x\right)}^6-9\,{\mathrm{tan}\left(a+b\,x\right)}^4+9\,{\mathrm{tan}\left(a+b\,x\right)}^2+1}{3\,b\,{\mathrm{tan}\left(a+b\,x\right)}^3}","Not used",1,"-(9*tan(a + b*x)^2 - 9*tan(a + b*x)^4 - tan(a + b*x)^6 + 1)/(3*b*tan(a + b*x)^3)","B"
170,1,79,89,0.448221,"\text{Not used}","int(1/(cos(a + b*x)^5*sin(a + b*x)^4),x)","\frac{35\,\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{8\,b}-\frac{\frac{35\,{\sin\left(a+b\,x\right)}^6}{8}-\frac{175\,{\sin\left(a+b\,x\right)}^4}{24}+\frac{7\,{\sin\left(a+b\,x\right)}^2}{3}+\frac{1}{3}}{b\,\left({\sin\left(a+b\,x\right)}^7-2\,{\sin\left(a+b\,x\right)}^5+{\sin\left(a+b\,x\right)}^3\right)}","Not used",1,"(35*atanh(sin(a + b*x)))/(8*b) - ((7*sin(a + b*x)^2)/3 - (175*sin(a + b*x)^4)/24 + (35*sin(a + b*x)^6)/8 + 1/3)/(b*(sin(a + b*x)^3 - 2*sin(a + b*x)^5 + sin(a + b*x)^7))","B"
171,1,92,69,1.420370,"\text{Not used}","int(cos(a + b*x)^9/sin(a + b*x)^5,x)","\frac{6\,\ln\left(\mathrm{tan}\left(a+b\,x\right)\right)}{b}-\frac{3\,\ln\left({\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}{b}+\frac{3\,{\mathrm{tan}\left(a+b\,x\right)}^6+\frac{9\,{\mathrm{tan}\left(a+b\,x\right)}^4}{2}+{\mathrm{tan}\left(a+b\,x\right)}^2-\frac{1}{4}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^8+2\,{\mathrm{tan}\left(a+b\,x\right)}^6+{\mathrm{tan}\left(a+b\,x\right)}^4\right)}","Not used",1,"(6*log(tan(a + b*x)))/b - (3*log(tan(a + b*x)^2 + 1))/b + (tan(a + b*x)^2 + (9*tan(a + b*x)^4)/2 + 3*tan(a + b*x)^6 - 1/4)/(b*(tan(a + b*x)^4 + 2*tan(a + b*x)^6 + tan(a + b*x)^8))","B"
172,1,157,89,0.548867,"\text{Not used}","int(cos(a + b*x)^8/sin(a + b*x)^5,x)","\frac{{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4}{64\,b}-\frac{3\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2}{8\,b}+\frac{35\,\ln\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{8\,b}+\frac{\frac{67\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^8}{8}+\frac{839\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^6}{64}+\frac{1487\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4}{192}+\frac{21\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2}{64}-\frac{1}{64}}{b\,\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^{10}+3\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^8+3\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^6+{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4\right)}","Not used",1,"tan(a/2 + (b*x)/2)^4/(64*b) - (3*tan(a/2 + (b*x)/2)^2)/(8*b) + (35*log(tan(a/2 + (b*x)/2)))/(8*b) + ((21*tan(a/2 + (b*x)/2)^2)/64 + (1487*tan(a/2 + (b*x)/2)^4)/192 + (839*tan(a/2 + (b*x)/2)^6)/64 + (67*tan(a/2 + (b*x)/2)^8)/8 - 1/64)/(b*(tan(a/2 + (b*x)/2)^4 + 3*tan(a/2 + (b*x)/2)^6 + 3*tan(a/2 + (b*x)/2)^8 + tan(a/2 + (b*x)/2)^10))","B"
173,1,74,58,0.641595,"\text{Not used}","int(cos(a + b*x)^7/sin(a + b*x)^5,x)","\frac{3\,\ln\left(\mathrm{tan}\left(a+b\,x\right)\right)}{b}-\frac{3\,\ln\left({\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}{2\,b}+\frac{\frac{3\,{\mathrm{tan}\left(a+b\,x\right)}^4}{2}+\frac{3\,{\mathrm{tan}\left(a+b\,x\right)}^2}{4}-\frac{1}{4}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^6+{\mathrm{tan}\left(a+b\,x\right)}^4\right)}","Not used",1,"(3*log(tan(a + b*x)))/b - (3*log(tan(a + b*x)^2 + 1))/(2*b) + ((3*tan(a + b*x)^2)/4 + (3*tan(a + b*x)^4)/2 - 1/4)/(b*(tan(a + b*x)^4 + tan(a + b*x)^6))","B"
174,1,105,70,0.580503,"\text{Not used}","int(cos(a + b*x)^6/sin(a + b*x)^5,x)","\frac{{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4}{64\,b}-\frac{{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2}{4\,b}+\frac{15\,\ln\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{8\,b}+\frac{\frac{9\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4}{4}+\frac{15\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2}{64}-\frac{1}{64}}{b\,\left({\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^6+{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4\right)}","Not used",1,"tan(a/2 + (b*x)/2)^4/(64*b) - tan(a/2 + (b*x)/2)^2/(4*b) + (15*log(tan(a/2 + (b*x)/2)))/(8*b) + ((15*tan(a/2 + (b*x)/2)^2)/64 + (9*tan(a/2 + (b*x)/2)^4)/4 - 1/64)/(b*(tan(a/2 + (b*x)/2)^4 + tan(a/2 + (b*x)/2)^6))","B"
175,1,52,42,0.422036,"\text{Not used}","int(cos(a + b*x)^5/sin(a + b*x)^5,x)","\frac{\ln\left(\mathrm{tan}\left(a+b\,x\right)\right)}{b}-\frac{\ln\left({\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}{2\,b}+\frac{\frac{{\mathrm{tan}\left(a+b\,x\right)}^2}{2}-\frac{1}{4}}{b\,{\mathrm{tan}\left(a+b\,x\right)}^4}","Not used",1,"log(tan(a + b*x))/b - log(tan(a + b*x)^2 + 1)/(2*b) + (tan(a + b*x)^2/2 - 1/4)/(b*tan(a + b*x)^4)","B"
176,1,78,55,0.488125,"\text{Not used}","int(cos(a + b*x)^4/sin(a + b*x)^5,x)","\frac{{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4}{64\,b}-\frac{{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2}{8\,b}+\frac{3\,\ln\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{8\,b}+\frac{{\mathrm{cot}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4\,\left(\frac{{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2}{8}-\frac{1}{64}\right)}{b}","Not used",1,"tan(a/2 + (b*x)/2)^4/(64*b) - tan(a/2 + (b*x)/2)^2/(8*b) + (3*log(tan(a/2 + (b*x)/2)))/(8*b) + (cot(a/2 + (b*x)/2)^4*(tan(a/2 + (b*x)/2)^2/8 - 1/64))/b","B"
177,1,25,15,0.394078,"\text{Not used}","int(cos(a + b*x)^3/sin(a + b*x)^5,x)","-\frac{{\left({\sin\left(a+b\,x\right)}^2-1\right)}^2}{4\,b\,{\sin\left(a+b\,x\right)}^4}","Not used",1,"-(sin(a + b*x)^2 - 1)^2/(4*b*sin(a + b*x)^4)","B"
178,1,48,55,0.466093,"\text{Not used}","int(cos(a + b*x)^2/sin(a + b*x)^5,x)","\frac{{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4}{64\,b}-\frac{1}{64\,b\,{\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^4}-\frac{\ln\left(\mathrm{tan}\left(\frac{a}{2}+\frac{b\,x}{2}\right)\right)}{8\,b}","Not used",1,"tan(a/2 + (b*x)/2)^4/(64*b) - 1/(64*b*tan(a/2 + (b*x)/2)^4) - log(tan(a/2 + (b*x)/2))/(8*b)","B"
179,1,23,15,0.408772,"\text{Not used}","int(cos(a + b*x)/sin(a + b*x)^5,x)","-\frac{{\mathrm{cot}\left(a+b\,x\right)}^2\,\left({\mathrm{cot}\left(a+b\,x\right)}^2+2\right)}{4\,b}","Not used",1,"-(cot(a + b*x)^2*(cot(a + b*x)^2 + 2))/(4*b)","B"
180,1,79,40,0.441875,"\text{Not used}","int(1/(cos(a + b*x)*sin(a + b*x)^5),x)","\frac{\ln\left(\frac{\cos\left(2\,a+2\,b\,x\right)}{2}-\frac{1}{2}\right)}{2\,b}-\frac{\ln\left(\cos\left(a+b\,x\right)\right)}{b}-\frac{\frac{\cos\left(2\,a+2\,b\,x\right)}{4}-\frac{1}{2}}{b\,\left(\cos\left(2\,a+2\,b\,x\right)-{\left(\frac{\cos\left(2\,a+2\,b\,x\right)}{2}+\frac{1}{2}\right)}^2\right)}","Not used",1,"log(cos(2*a + 2*b*x)/2 - 1/2)/(2*b) - log(cos(a + b*x))/b - (cos(2*a + 2*b*x)/4 - 1/2)/(b*(cos(2*a + 2*b*x) - (cos(2*a + 2*b*x)/2 + 1/2)^2))","B"
181,1,66,70,0.390010,"\text{Not used}","int(1/(cos(a + b*x)^2*sin(a + b*x)^5),x)","\frac{\frac{15\,{\cos\left(a+b\,x\right)}^4}{8}-\frac{25\,{\cos\left(a+b\,x\right)}^2}{8}+1}{b\,\left({\cos\left(a+b\,x\right)}^5-2\,{\cos\left(a+b\,x\right)}^3+\cos\left(a+b\,x\right)\right)}-\frac{15\,\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{8\,b}","Not used",1,"((15*cos(a + b*x)^4)/8 - (25*cos(a + b*x)^2)/8 + 1)/(b*(cos(a + b*x) - 2*cos(a + b*x)^3 + cos(a + b*x)^5)) - (15*atanh(cos(a + b*x)))/(8*b)","B"
182,1,82,58,0.468780,"\text{Not used}","int(1/(cos(a + b*x)^3*sin(a + b*x)^5),x)","\frac{3\,\ln\left({\sin\left(a+b\,x\right)}^2\right)}{2\,b}-\frac{3\,\ln\left(\cos\left(a+b\,x\right)\right)}{b}+\frac{\frac{3\,{\cos\left(a+b\,x\right)}^4}{2}-\frac{9\,{\cos\left(a+b\,x\right)}^2}{4}+\frac{1}{2}}{b\,\left({\cos\left(a+b\,x\right)}^6-2\,{\cos\left(a+b\,x\right)}^4+{\cos\left(a+b\,x\right)}^2\right)}","Not used",1,"(3*log(sin(a + b*x)^2))/(2*b) - (3*log(cos(a + b*x)))/b + ((3*cos(a + b*x)^4)/2 - (9*cos(a + b*x)^2)/4 + 1/2)/(b*(cos(a + b*x)^2 - 2*cos(a + b*x)^4 + cos(a + b*x)^6))","B"
183,1,78,89,0.070894,"\text{Not used}","int(1/(cos(a + b*x)^4*sin(a + b*x)^5),x)","\frac{\frac{35\,{\cos\left(a+b\,x\right)}^6}{8}-\frac{175\,{\cos\left(a+b\,x\right)}^4}{24}+\frac{7\,{\cos\left(a+b\,x\right)}^2}{3}+\frac{1}{3}}{b\,\left({\cos\left(a+b\,x\right)}^7-2\,{\cos\left(a+b\,x\right)}^5+{\cos\left(a+b\,x\right)}^3\right)}-\frac{35\,\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{8\,b}","Not used",1,"((7*cos(a + b*x)^2)/3 - (175*cos(a + b*x)^4)/24 + (35*cos(a + b*x)^6)/8 + 1/3)/(b*(cos(a + b*x)^3 - 2*cos(a + b*x)^5 + cos(a + b*x)^7)) - (35*atanh(cos(a + b*x)))/(8*b)","B"
184,1,64,69,0.414922,"\text{Not used}","int(1/(cos(a + b*x)^5*sin(a + b*x)^5),x)","\frac{2\,{\mathrm{tan}\left(a+b\,x\right)}^2}{b}+\frac{{\mathrm{tan}\left(a+b\,x\right)}^4}{4\,b}+\frac{6\,\ln\left(\mathrm{tan}\left(a+b\,x\right)\right)}{b}-\frac{{\mathrm{cot}\left(a+b\,x\right)}^4\,\left(2\,{\mathrm{tan}\left(a+b\,x\right)}^2+\frac{1}{4}\right)}{b}","Not used",1,"(2*tan(a + b*x)^2)/b + tan(a + b*x)^4/(4*b) + (6*log(tan(a + b*x)))/b - (cot(a + b*x)^4*(2*tan(a + b*x)^2 + 1/4))/b","B"
185,1,19,17,0.084051,"\text{Not used}","int(cos(x)^2/sin(x)^6,x)","-{\cos\left(x\right)}^3\,\left(\frac{2}{15\,{\sin\left(x\right)}^3}+\frac{1}{5\,{\sin\left(x\right)}^5}\right)","Not used",1,"-cos(x)^3*(2/(15*sin(x)^3) + 1/(5*sin(x)^5))","B"
186,1,13,17,0.438520,"\text{Not used}","int(cos(x)^3/sin(x)^7,x)","\frac{\frac{{\sin\left(x\right)}^2}{4}-\frac{1}{6}}{{\sin\left(x\right)}^6}","Not used",1,"(sin(x)^2/4 - 1/6)/sin(x)^6","B"
187,1,18,22,0.128196,"\text{Not used}","int(sin(a + b*x)*(d*cos(a + b*x))^(3/2),x)","-\frac{2\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2}}{5\,b\,d}","Not used",1,"-(2*(d*cos(a + b*x))^(5/2))/(5*b*d)","B"
188,1,18,22,0.422786,"\text{Not used}","int(sin(a + b*x)*(d*cos(a + b*x))^(1/2),x)","-\frac{2\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}}{3\,b\,d}","Not used",1,"-(2*(d*cos(a + b*x))^(3/2))/(3*b*d)","B"
189,1,18,20,0.525088,"\text{Not used}","int(sin(a + b*x)/(d*cos(a + b*x))^(1/2),x)","-\frac{2\,\sqrt{d\,\cos\left(a+b\,x\right)}}{b\,d}","Not used",1,"-(2*(d*cos(a + b*x))^(1/2))/(b*d)","B"
190,1,37,20,0.183174,"\text{Not used}","int(sin(a + b*x)/(d*cos(a + b*x))^(3/2),x)","\frac{4\,\cos\left(a+b\,x\right)\,\sqrt{d\,\cos\left(a+b\,x\right)}}{b\,d^2\,\left(\cos\left(2\,a+2\,b\,x\right)+1\right)}","Not used",1,"(4*cos(a + b*x)*(d*cos(a + b*x))^(1/2))/(b*d^2*(cos(2*a + 2*b*x) + 1))","B"
191,1,53,22,0.807328,"\text{Not used}","int(sin(a + b*x)/(d*cos(a + b*x))^(5/2),x)","\frac{8\,\left(\cos\left(2\,a+2\,b\,x\right)+1\right)\,\sqrt{d\,\cos\left(a+b\,x\right)}}{3\,b\,d^3\,\left(4\,\cos\left(2\,a+2\,b\,x\right)+\cos\left(4\,a+4\,b\,x\right)+3\right)}","Not used",1,"(8*(cos(2*a + 2*b*x) + 1)*(d*cos(a + b*x))^(1/2))/(3*b*d^3*(4*cos(2*a + 2*b*x) + cos(4*a + 4*b*x) + 3))","B"
192,1,65,22,6.708740,"\text{Not used}","int(sin(a + b*x)/(d*cos(a + b*x))^(7/2),x)","\frac{16\,{\mathrm{e}}^{a\,3{}\mathrm{i}+b\,x\,3{}\mathrm{i}}\,\sqrt{d\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}}{2}\right)}}{5\,b\,d^4\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(16*exp(a*3i + b*x*3i)*(d*(exp(- a*1i - b*x*1i)/2 + exp(a*1i + b*x*1i)/2))^(1/2))/(5*b*d^4*(exp(a*2i + b*x*2i) + 1)^3)","B"
193,1,65,22,4.035662,"\text{Not used}","int(sin(a + b*x)/(d*cos(a + b*x))^(9/2),x)","\frac{32\,{\mathrm{e}}^{a\,4{}\mathrm{i}+b\,x\,4{}\mathrm{i}}\,\sqrt{d\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}}{2}\right)}}{7\,b\,d^5\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^4}","Not used",1,"(32*exp(a*4i + b*x*4i)*(d*(exp(- a*1i - b*x*1i)/2 + exp(a*1i + b*x*1i)/2))^(1/2))/(7*b*d^5*(exp(a*2i + b*x*2i) + 1)^4)","B"
194,0,-1,126,0.000000,"\text{Not used}","int(sin(a + b*x)^2*(d*cos(a + b*x))^(9/2),x)","\int {\sin\left(a+b\,x\right)}^2\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{9/2} \,d x","Not used",1,"int(sin(a + b*x)^2*(d*cos(a + b*x))^(9/2), x)","F"
195,0,-1,126,0.000000,"\text{Not used}","int(sin(a + b*x)^2*(d*cos(a + b*x))^(7/2),x)","\int {\sin\left(a+b\,x\right)}^2\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{7/2} \,d x","Not used",1,"int(sin(a + b*x)^2*(d*cos(a + b*x))^(7/2), x)","F"
196,0,-1,98,0.000000,"\text{Not used}","int(sin(a + b*x)^2*(d*cos(a + b*x))^(5/2),x)","\int {\sin\left(a+b\,x\right)}^2\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(sin(a + b*x)^2*(d*cos(a + b*x))^(5/2), x)","F"
197,0,-1,98,0.000000,"\text{Not used}","int(sin(a + b*x)^2*(d*cos(a + b*x))^(3/2),x)","\int {\sin\left(a+b\,x\right)}^2\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(sin(a + b*x)^2*(d*cos(a + b*x))^(3/2), x)","F"
198,0,-1,69,0.000000,"\text{Not used}","int(sin(a + b*x)^2*(d*cos(a + b*x))^(1/2),x)","\int {\sin\left(a+b\,x\right)}^2\,\sqrt{d\,\cos\left(a+b\,x\right)} \,d x","Not used",1,"int(sin(a + b*x)^2*(d*cos(a + b*x))^(1/2), x)","F"
199,0,-1,69,0.000000,"\text{Not used}","int(sin(a + b*x)^2/(d*cos(a + b*x))^(1/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^2}{\sqrt{d\,\cos\left(a+b\,x\right)}} \,d x","Not used",1,"int(sin(a + b*x)^2/(d*cos(a + b*x))^(1/2), x)","F"
200,0,-1,68,0.000000,"\text{Not used}","int(sin(a + b*x)^2/(d*cos(a + b*x))^(3/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^2}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(sin(a + b*x)^2/(d*cos(a + b*x))^(3/2), x)","F"
201,0,-1,72,0.000000,"\text{Not used}","int(sin(a + b*x)^2/(d*cos(a + b*x))^(5/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^2}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(sin(a + b*x)^2/(d*cos(a + b*x))^(5/2), x)","F"
202,0,-1,100,0.000000,"\text{Not used}","int(sin(a + b*x)^2/(d*cos(a + b*x))^(7/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^2}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int(sin(a + b*x)^2/(d*cos(a + b*x))^(7/2), x)","F"
203,0,-1,100,0.000000,"\text{Not used}","int(sin(a + b*x)^2/(d*cos(a + b*x))^(9/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^2}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{9/2}} \,d x","Not used",1,"int(sin(a + b*x)^2/(d*cos(a + b*x))^(9/2), x)","F"
204,0,-1,45,0.000000,"\text{Not used}","int(sin(a + b*x)^3*(d*cos(a + b*x))^(1/2),x)","\int {\sin\left(a+b\,x\right)}^3\,\sqrt{d\,\cos\left(a+b\,x\right)} \,d x","Not used",1,"int(sin(a + b*x)^3*(d*cos(a + b*x))^(1/2), x)","F"
205,0,-1,43,0.000000,"\text{Not used}","int(sin(a + b*x)^3/(d*cos(a + b*x))^(1/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^3}{\sqrt{d\,\cos\left(a+b\,x\right)}} \,d x","Not used",1,"int(sin(a + b*x)^3/(d*cos(a + b*x))^(1/2), x)","F"
206,0,-1,43,0.000000,"\text{Not used}","int(sin(a + b*x)^3/(d*cos(a + b*x))^(3/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^3}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(sin(a + b*x)^3/(d*cos(a + b*x))^(3/2), x)","F"
207,1,66,43,1.064037,"\text{Not used}","int(sin(a + b*x)^3/(d*cos(a + b*x))^(5/2),x)","\frac{2\,\sqrt{d\,\cos\left(a+b\,x\right)}\,\left(16\,\cos\left(2\,a+2\,b\,x\right)+3\,\cos\left(4\,a+4\,b\,x\right)+13\right)}{3\,b\,d^3\,\left(4\,\cos\left(2\,a+2\,b\,x\right)+\cos\left(4\,a+4\,b\,x\right)+3\right)}","Not used",1,"(2*(d*cos(a + b*x))^(1/2)*(16*cos(2*a + 2*b*x) + 3*cos(4*a + 4*b*x) + 13))/(3*b*d^3*(4*cos(2*a + 2*b*x) + cos(4*a + 4*b*x) + 3))","B"
208,1,93,43,3.666208,"\text{Not used}","int(sin(a + b*x)^3/(d*cos(a + b*x))^(7/2),x)","-\frac{4\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{d\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}}{2}\right)}\,\left(6\,{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+5\,{\mathrm{e}}^{a\,4{}\mathrm{i}+b\,x\,4{}\mathrm{i}}+5\right)}{5\,b\,d^4\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"-(4*exp(a*1i + b*x*1i)*(d*(exp(- a*1i - b*x*1i)/2 + exp(a*1i + b*x*1i)/2))^(1/2)*(6*exp(a*2i + b*x*2i) + 5*exp(a*4i + b*x*4i) + 5))/(5*b*d^4*(exp(a*2i + b*x*2i) + 1)^3)","B"
209,1,93,45,3.779974,"\text{Not used}","int(sin(a + b*x)^3/(d*cos(a + b*x))^(9/2),x)","-\frac{8\,{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,\sqrt{d\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}}{2}\right)}\,\left(2\,{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+7\,{\mathrm{e}}^{a\,4{}\mathrm{i}+b\,x\,4{}\mathrm{i}}+7\right)}{21\,b\,d^5\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^4}","Not used",1,"-(8*exp(a*2i + b*x*2i)*(d*(exp(- a*1i - b*x*1i)/2 + exp(a*1i + b*x*1i)/2))^(1/2)*(2*exp(a*2i + b*x*2i) + 7*exp(a*4i + b*x*4i) + 7))/(21*b*d^5*(exp(a*2i + b*x*2i) + 1)^4)","B"
210,1,279,45,5.329845,"\text{Not used}","int(sin(a + b*x)^3/(d*cos(a + b*x))^(11/2),x)","\frac{16\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{d\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}}{2}\right)}}{5\,b\,d^6\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^2}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{d\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}}{2}\right)}\,464{}\mathrm{i}}{45\,b\,d^6\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^3}-\frac{128\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{d\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}}{2}\right)}}{9\,b\,d^6\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^4}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{d\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}}{2}\right)}\,64{}\mathrm{i}}{9\,b\,d^6\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^5}","Not used",1,"(16*exp(a*1i + b*x*1i)*(d*(exp(- a*1i - b*x*1i)/2 + exp(a*1i + b*x*1i)/2))^(1/2))/(5*b*d^6*(exp(a*2i + b*x*2i)*1i + 1i)^2) - (exp(a*1i + b*x*1i)*(d*(exp(- a*1i - b*x*1i)/2 + exp(a*1i + b*x*1i)/2))^(1/2)*464i)/(45*b*d^6*(exp(a*2i + b*x*2i)*1i + 1i)^3) - (128*exp(a*1i + b*x*1i)*(d*(exp(- a*1i - b*x*1i)/2 + exp(a*1i + b*x*1i)/2))^(1/2))/(9*b*d^6*(exp(a*2i + b*x*2i)*1i + 1i)^4) + (exp(a*1i + b*x*1i)*(d*(exp(- a*1i - b*x*1i)/2 + exp(a*1i + b*x*1i)/2))^(1/2)*64i)/(9*b*d^6*(exp(a*2i + b*x*2i)*1i + 1i)^5)","B"
211,0,-1,156,0.000000,"\text{Not used}","int(sin(a + b*x)^4*(d*cos(a + b*x))^(9/2),x)","\int {\sin\left(a+b\,x\right)}^4\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{9/2} \,d x","Not used",1,"int(sin(a + b*x)^4*(d*cos(a + b*x))^(9/2), x)","F"
212,0,-1,156,0.000000,"\text{Not used}","int(sin(a + b*x)^4*(d*cos(a + b*x))^(7/2),x)","\int {\sin\left(a+b\,x\right)}^4\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{7/2} \,d x","Not used",1,"int(sin(a + b*x)^4*(d*cos(a + b*x))^(7/2), x)","F"
213,0,-1,128,0.000000,"\text{Not used}","int(sin(a + b*x)^4*(d*cos(a + b*x))^(5/2),x)","\int {\sin\left(a+b\,x\right)}^4\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(sin(a + b*x)^4*(d*cos(a + b*x))^(5/2), x)","F"
214,0,-1,128,0.000000,"\text{Not used}","int(sin(a + b*x)^4*(d*cos(a + b*x))^(3/2),x)","\int {\sin\left(a+b\,x\right)}^4\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(sin(a + b*x)^4*(d*cos(a + b*x))^(3/2), x)","F"
215,0,-1,99,0.000000,"\text{Not used}","int(sin(a + b*x)^4*(d*cos(a + b*x))^(1/2),x)","\int {\sin\left(a+b\,x\right)}^4\,\sqrt{d\,\cos\left(a+b\,x\right)} \,d x","Not used",1,"int(sin(a + b*x)^4*(d*cos(a + b*x))^(1/2), x)","F"
216,0,-1,99,0.000000,"\text{Not used}","int(sin(a + b*x)^4/(d*cos(a + b*x))^(1/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^4}{\sqrt{d\,\cos\left(a+b\,x\right)}} \,d x","Not used",1,"int(sin(a + b*x)^4/(d*cos(a + b*x))^(1/2), x)","F"
217,0,-1,100,0.000000,"\text{Not used}","int(sin(a + b*x)^4/(d*cos(a + b*x))^(3/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^4}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(sin(a + b*x)^4/(d*cos(a + b*x))^(3/2), x)","F"
218,0,-1,102,0.000000,"\text{Not used}","int(sin(a + b*x)^4/(d*cos(a + b*x))^(5/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^4}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(sin(a + b*x)^4/(d*cos(a + b*x))^(5/2), x)","F"
219,0,-1,102,0.000000,"\text{Not used}","int(sin(a + b*x)^4/(d*cos(a + b*x))^(7/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^4}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int(sin(a + b*x)^4/(d*cos(a + b*x))^(7/2), x)","F"
220,0,-1,102,0.000000,"\text{Not used}","int(sin(a + b*x)^4/(d*cos(a + b*x))^(9/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^4}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{9/2}} \,d x","Not used",1,"int(sin(a + b*x)^4/(d*cos(a + b*x))^(9/2), x)","F"
221,1,35,52,0.636220,"\text{Not used}","int(cos(a + b*x)^(3/2)*sin(a + b*x)^5,x)","-\frac{2\,{\cos\left(a+b\,x\right)}^{5/2}\,\left(\frac{5\,{\cos\left(a+b\,x\right)}^4}{13}-\frac{10\,{\cos\left(a+b\,x\right)}^2}{9}+1\right)}{5\,b}","Not used",1,"-(2*cos(a + b*x)^(5/2)*((5*cos(a + b*x)^4)/13 - (10*cos(a + b*x)^2)/9 + 1))/(5*b)","B"
222,0,-1,100,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(9/2)/sin(a + b*x),x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{9/2}}{\sin\left(a+b\,x\right)} \,d x","Not used",1,"int((d*cos(a + b*x))^(9/2)/sin(a + b*x), x)","F"
223,0,-1,99,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(7/2)/sin(a + b*x),x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{7/2}}{\sin\left(a+b\,x\right)} \,d x","Not used",1,"int((d*cos(a + b*x))^(7/2)/sin(a + b*x), x)","F"
224,0,-1,78,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(5/2)/sin(a + b*x),x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2}}{\sin\left(a+b\,x\right)} \,d x","Not used",1,"int((d*cos(a + b*x))^(5/2)/sin(a + b*x), x)","F"
225,0,-1,77,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(3/2)/sin(a + b*x),x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}}{\sin\left(a+b\,x\right)} \,d x","Not used",1,"int((d*cos(a + b*x))^(3/2)/sin(a + b*x), x)","F"
226,0,-1,58,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(1/2)/sin(a + b*x),x)","\int \frac{\sqrt{d\,\cos\left(a+b\,x\right)}}{\sin\left(a+b\,x\right)} \,d x","Not used",1,"int((d*cos(a + b*x))^(1/2)/sin(a + b*x), x)","F"
227,0,-1,59,0.000000,"\text{Not used}","int(1/(sin(a + b*x)*(d*cos(a + b*x))^(1/2)),x)","\int \frac{1}{\sin\left(a+b\,x\right)\,\sqrt{d\,\cos\left(a+b\,x\right)}} \,d x","Not used",1,"int(1/(sin(a + b*x)*(d*cos(a + b*x))^(1/2)), x)","F"
228,0,-1,78,0.000000,"\text{Not used}","int(1/(sin(a + b*x)*(d*cos(a + b*x))^(3/2)),x)","\int \frac{1}{\sin\left(a+b\,x\right)\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)*(d*cos(a + b*x))^(3/2)), x)","F"
229,0,-1,81,0.000000,"\text{Not used}","int(1/(sin(a + b*x)*(d*cos(a + b*x))^(5/2)),x)","\int \frac{1}{\sin\left(a+b\,x\right)\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)*(d*cos(a + b*x))^(5/2)), x)","F"
230,0,-1,100,0.000000,"\text{Not used}","int(1/(sin(a + b*x)*(d*cos(a + b*x))^(7/2)),x)","\int \frac{1}{\sin\left(a+b\,x\right)\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)*(d*cos(a + b*x))^(7/2)), x)","F"
231,0,-1,103,0.000000,"\text{Not used}","int(1/(sin(a + b*x)*(d*cos(a + b*x))^(9/2)),x)","\int \frac{1}{\sin\left(a+b\,x\right)\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{9/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)*(d*cos(a + b*x))^(9/2)), x)","F"
232,0,-1,124,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(11/2)/sin(a + b*x)^2,x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{11/2}}{{\sin\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((d*cos(a + b*x))^(11/2)/sin(a + b*x)^2, x)","F"
233,0,-1,96,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(9/2)/sin(a + b*x)^2,x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{9/2}}{{\sin\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((d*cos(a + b*x))^(9/2)/sin(a + b*x)^2, x)","F"
234,0,-1,96,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(7/2)/sin(a + b*x)^2,x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{7/2}}{{\sin\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((d*cos(a + b*x))^(7/2)/sin(a + b*x)^2, x)","F"
235,0,-1,66,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(5/2)/sin(a + b*x)^2,x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2}}{{\sin\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((d*cos(a + b*x))^(5/2)/sin(a + b*x)^2, x)","F"
236,0,-1,66,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(3/2)/sin(a + b*x)^2,x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}}{{\sin\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((d*cos(a + b*x))^(3/2)/sin(a + b*x)^2, x)","F"
237,0,-1,65,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(1/2)/sin(a + b*x)^2,x)","\int \frac{\sqrt{d\,\cos\left(a+b\,x\right)}}{{\sin\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((d*cos(a + b*x))^(1/2)/sin(a + b*x)^2, x)","F"
238,0,-1,64,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^2*(d*cos(a + b*x))^(1/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^2\,\sqrt{d\,\cos\left(a+b\,x\right)}} \,d x","Not used",1,"int(1/(sin(a + b*x)^2*(d*cos(a + b*x))^(1/2)), x)","F"
239,0,-1,94,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^2*(d*cos(a + b*x))^(3/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^2\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)^2*(d*cos(a + b*x))^(3/2)), x)","F"
240,0,-1,98,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^2*(d*cos(a + b*x))^(5/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^2\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)^2*(d*cos(a + b*x))^(5/2)), x)","F"
241,0,-1,126,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^2*(d*cos(a + b*x))^(7/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^2\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)^2*(d*cos(a + b*x))^(7/2)), x)","F"
242,0,-1,135,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(11/2)/sin(a + b*x)^3,x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{11/2}}{{\sin\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((d*cos(a + b*x))^(11/2)/sin(a + b*x)^3, x)","F"
243,0,-1,113,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(9/2)/sin(a + b*x)^3,x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{9/2}}{{\sin\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((d*cos(a + b*x))^(9/2)/sin(a + b*x)^3, x)","F"
244,0,-1,113,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(7/2)/sin(a + b*x)^3,x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{7/2}}{{\sin\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((d*cos(a + b*x))^(7/2)/sin(a + b*x)^3, x)","F"
245,0,-1,91,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(5/2)/sin(a + b*x)^3,x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2}}{{\sin\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((d*cos(a + b*x))^(5/2)/sin(a + b*x)^3, x)","F"
246,0,-1,91,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(3/2)/sin(a + b*x)^3,x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}}{{\sin\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((d*cos(a + b*x))^(3/2)/sin(a + b*x)^3, x)","F"
247,0,-1,93,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(1/2)/sin(a + b*x)^3,x)","\int \frac{\sqrt{d\,\cos\left(a+b\,x\right)}}{{\sin\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((d*cos(a + b*x))^(1/2)/sin(a + b*x)^3, x)","F"
248,0,-1,93,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^3*(d*cos(a + b*x))^(1/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^3\,\sqrt{d\,\cos\left(a+b\,x\right)}} \,d x","Not used",1,"int(1/(sin(a + b*x)^3*(d*cos(a + b*x))^(1/2)), x)","F"
249,0,-1,115,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^3*(d*cos(a + b*x))^(3/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^3\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)^3*(d*cos(a + b*x))^(3/2)), x)","F"
250,0,-1,115,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^3*(d*cos(a + b*x))^(5/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^3\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)^3*(d*cos(a + b*x))^(5/2)), x)","F"
251,0,-1,137,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^3*(d*cos(a + b*x))^(7/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^3\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)^3*(d*cos(a + b*x))^(7/2)), x)","F"
252,1,18,22,0.097375,"\text{Not used}","int(sin(a + b*x)*(d*cos(a + b*x))^(1/5),x)","-\frac{5\,{\left(d\,\cos\left(a+b\,x\right)\right)}^{6/5}}{6\,b\,d}","Not used",1,"-(5*(d*cos(a + b*x))^(6/5))/(6*b*d)","B"
253,1,25,21,0.474022,"\text{Not used}","int(cos(x)^3*sin(x)^(1/2),x)","-\frac{{\cos\left(x\right)}^4\,{\sin\left(x\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},2;\ 3;\ {\cos\left(x\right)}^2\right)}{4\,{\left({\sin\left(x\right)}^2\right)}^{3/4}}","Not used",1,"-(cos(x)^4*sin(x)^(3/2)*hypergeom([1/4, 2], 3, cos(x)^2))/(4*(sin(x)^2)^(3/4))","B"
254,1,25,21,0.469677,"\text{Not used}","int(cos(x)^3*sin(x)^(3/2),x)","-\frac{{\cos\left(x\right)}^4\,{\sin\left(x\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},2;\ 3;\ {\cos\left(x\right)}^2\right)}{4\,{\left({\sin\left(x\right)}^2\right)}^{5/4}}","Not used",1,"-(cos(x)^4*sin(x)^(5/2)*hypergeom([-1/4, 2], 3, cos(x)^2))/(4*(sin(x)^2)^(5/4))","B"
255,1,25,21,0.446877,"\text{Not used}","int(cos(x)^3*sin(x)^(5/2),x)","-\frac{{\cos\left(x\right)}^4\,{\sin\left(x\right)}^{7/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{4},2;\ 3;\ {\cos\left(x\right)}^2\right)}{4\,{\left({\sin\left(x\right)}^2\right)}^{7/4}}","Not used",1,"-(cos(x)^4*sin(x)^(7/2)*hypergeom([-3/4, 2], 3, cos(x)^2))/(4*(sin(x)^2)^(7/4))","B"
256,1,25,19,0.437764,"\text{Not used}","int(cos(x)^3/sin(x)^(1/2),x)","-\frac{{\cos\left(x\right)}^4\,\sqrt{\sin\left(x\right)}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{4},2;\ 3;\ {\cos\left(x\right)}^2\right)}{4\,{\left({\sin\left(x\right)}^2\right)}^{1/4}}","Not used",1,"-(cos(x)^4*sin(x)^(1/2)*hypergeom([3/4, 2], 3, cos(x)^2))/(4*(sin(x)^2)^(1/4))","B"
257,0,-1,132,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(9/2)*(c*sin(a + b*x))^(1/2),x)","\int {\left(d\,\cos\left(a+b\,x\right)\right)}^{9/2}\,\sqrt{c\,\sin\left(a+b\,x\right)} \,d x","Not used",1,"int((d*cos(a + b*x))^(9/2)*(c*sin(a + b*x))^(1/2), x)","F"
258,0,-1,95,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(5/2)*(c*sin(a + b*x))^(1/2),x)","\int {\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2}\,\sqrt{c\,\sin\left(a+b\,x\right)} \,d x","Not used",1,"int((d*cos(a + b*x))^(5/2)*(c*sin(a + b*x))^(1/2), x)","F"
259,0,-1,53,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(1/2)*(c*sin(a + b*x))^(1/2),x)","\int \sqrt{d\,\cos\left(a+b\,x\right)}\,\sqrt{c\,\sin\left(a+b\,x\right)} \,d x","Not used",1,"int((d*cos(a + b*x))^(1/2)*(c*sin(a + b*x))^(1/2), x)","F"
260,0,-1,93,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(1/2)/(d*cos(a + b*x))^(3/2),x)","\int \frac{\sqrt{c\,\sin\left(a+b\,x\right)}}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((c*sin(a + b*x))^(1/2)/(d*cos(a + b*x))^(3/2), x)","F"
261,0,-1,134,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(1/2)/(d*cos(a + b*x))^(7/2),x)","\int \frac{\sqrt{c\,\sin\left(a+b\,x\right)}}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int((c*sin(a + b*x))^(1/2)/(d*cos(a + b*x))^(7/2), x)","F"
262,0,-1,320,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(3/2)*(c*sin(a + b*x))^(1/2),x)","\int {\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}\,\sqrt{c\,\sin\left(a+b\,x\right)} \,d x","Not used",1,"int((d*cos(a + b*x))^(3/2)*(c*sin(a + b*x))^(1/2), x)","F"
263,0,-1,280,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(1/2)/(d*cos(a + b*x))^(1/2),x)","\int \frac{\sqrt{c\,\sin\left(a+b\,x\right)}}{\sqrt{d\,\cos\left(a+b\,x\right)}} \,d x","Not used",1,"int((c*sin(a + b*x))^(1/2)/(d*cos(a + b*x))^(1/2), x)","F"
264,1,50,37,0.987273,"\text{Not used}","int((c*sin(a + b*x))^(1/2)/(d*cos(a + b*x))^(5/2),x)","\frac{2\,\sin\left(2\,a+2\,b\,x\right)\,\sqrt{c\,\sin\left(a+b\,x\right)}}{3\,b\,d^2\,\left(\cos\left(2\,a+2\,b\,x\right)+1\right)\,\sqrt{d\,\cos\left(a+b\,x\right)}}","Not used",1,"(2*sin(2*a + 2*b*x)*(c*sin(a + b*x))^(1/2))/(3*b*d^2*(cos(2*a + 2*b*x) + 1)*(d*cos(a + b*x))^(1/2))","B"
265,1,95,75,2.062566,"\text{Not used}","int((c*sin(a + b*x))^(1/2)/(d*cos(a + b*x))^(9/2),x)","\frac{8\,\sqrt{c\,\sin\left(a+b\,x\right)}\,\left(11\,\sin\left(2\,a+2\,b\,x\right)+7\,\sin\left(4\,a+4\,b\,x\right)+\sin\left(6\,a+6\,b\,x\right)\right)}{21\,b\,d^4\,\sqrt{d\,\cos\left(a+b\,x\right)}\,\left(15\,\cos\left(2\,a+2\,b\,x\right)+6\,\cos\left(4\,a+4\,b\,x\right)+\cos\left(6\,a+6\,b\,x\right)+10\right)}","Not used",1,"(8*(c*sin(a + b*x))^(1/2)*(11*sin(2*a + 2*b*x) + 7*sin(4*a + 4*b*x) + sin(6*a + 6*b*x)))/(21*b*d^4*(d*cos(a + b*x))^(1/2)*(15*cos(2*a + 2*b*x) + 6*cos(4*a + 4*b*x) + cos(6*a + 6*b*x) + 10))","B"
266,1,216,112,6.207594,"\text{Not used}","int((c*sin(a + b*x))^(1/2)/(d*cos(a + b*x))^(13/2),x)","-\frac{\sqrt{c\,\sin\left(a+b\,x\right)}\,\left(2\,{\sin\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2-1\right)\,\left(2\,{\sin\left(\frac{5\,a}{2}+\frac{5\,b\,x}{2}\right)}^2+\sin\left(5\,a+5\,b\,x\right)\,1{}\mathrm{i}-1\right)\,\left(\frac{1984\,\sin\left(a+b\,x\right)\,\left(-2\,{\sin\left(\frac{5\,a}{2}+\frac{5\,b\,x}{2}\right)}^2+\sin\left(5\,a+5\,b\,x\right)\,1{}\mathrm{i}+1\right)}{231\,b\,d^6}+\frac{256\,\sin\left(3\,a+3\,b\,x\right)\,\left(-2\,{\sin\left(\frac{5\,a}{2}+\frac{5\,b\,x}{2}\right)}^2+\sin\left(5\,a+5\,b\,x\right)\,1{}\mathrm{i}+1\right)}{77\,b\,d^6}+\frac{128\,\sin\left(5\,a+5\,b\,x\right)\,\left(-2\,{\sin\left(\frac{5\,a}{2}+\frac{5\,b\,x}{2}\right)}^2+\sin\left(5\,a+5\,b\,x\right)\,1{}\mathrm{i}+1\right)}{231\,b\,d^6}\right)}{32\,{\left({\sin\left(a+b\,x\right)}^2-1\right)}^3\,\sqrt{-d\,\left(2\,{\sin\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2-1\right)}}","Not used",1,"-((c*sin(a + b*x))^(1/2)*(2*sin(a/2 + (b*x)/2)^2 - 1)*(sin(5*a + 5*b*x)*1i + 2*sin((5*a)/2 + (5*b*x)/2)^2 - 1)*((1984*sin(a + b*x)*(sin(5*a + 5*b*x)*1i - 2*sin((5*a)/2 + (5*b*x)/2)^2 + 1))/(231*b*d^6) + (256*sin(3*a + 3*b*x)*(sin(5*a + 5*b*x)*1i - 2*sin((5*a)/2 + (5*b*x)/2)^2 + 1))/(77*b*d^6) + (128*sin(5*a + 5*b*x)*(sin(5*a + 5*b*x)*1i - 2*sin((5*a)/2 + (5*b*x)/2)^2 + 1))/(231*b*d^6)))/(32*(sin(a + b*x)^2 - 1)^3*(-d*(2*sin(a/2 + (b*x)/2)^2 - 1))^(1/2))","B"
267,0,-1,131,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(3/2)*(c*sin(a + b*x))^(3/2),x)","\int {\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}\,{\left(c\,\sin\left(a+b\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((d*cos(a + b*x))^(3/2)*(c*sin(a + b*x))^(3/2), x)","F"
268,0,-1,93,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(3/2)/(d*cos(a + b*x))^(1/2),x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^{3/2}}{\sqrt{d\,\cos\left(a+b\,x\right)}} \,d x","Not used",1,"int((c*sin(a + b*x))^(3/2)/(d*cos(a + b*x))^(1/2), x)","F"
269,0,-1,98,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(3/2)/(d*cos(a + b*x))^(5/2),x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^{3/2}}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((c*sin(a + b*x))^(3/2)/(d*cos(a + b*x))^(5/2), x)","F"
270,0,-1,133,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(3/2)/(d*cos(a + b*x))^(9/2),x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^{3/2}}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{9/2}} \,d x","Not used",1,"int((c*sin(a + b*x))^(3/2)/(d*cos(a + b*x))^(9/2), x)","F"
271,0,-1,320,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(1/2)*(c*sin(a + b*x))^(3/2),x)","\int \sqrt{d\,\cos\left(a+b\,x\right)}\,{\left(c\,\sin\left(a+b\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((d*cos(a + b*x))^(1/2)*(c*sin(a + b*x))^(3/2), x)","F"
272,0,-1,313,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(3/2)/(d*cos(a + b*x))^(3/2),x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^{3/2}}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((c*sin(a + b*x))^(3/2)/(d*cos(a + b*x))^(3/2), x)","F"
273,1,64,37,1.505179,"\text{Not used}","int((c*sin(a + b*x))^(3/2)/(d*cos(a + b*x))^(7/2),x)","-\frac{2\,c\,\left(\cos\left(4\,a+4\,b\,x\right)-1\right)\,\sqrt{c\,\sin\left(a+b\,x\right)}}{5\,b\,d^3\,\sqrt{d\,\cos\left(a+b\,x\right)}\,\left(4\,\cos\left(2\,a+2\,b\,x\right)+\cos\left(4\,a+4\,b\,x\right)+3\right)}","Not used",1,"-(2*c*(cos(4*a + 4*b*x) - 1)*(c*sin(a + b*x))^(1/2))/(5*b*d^3*(d*cos(a + b*x))^(1/2)*(4*cos(2*a + 2*b*x) + cos(4*a + 4*b*x) + 3))","B"
274,1,207,106,6.161542,"\text{Not used}","int((c*sin(a + b*x))^(3/2)/(d*cos(a + b*x))^(11/2),x)","-\frac{\sqrt{c\,\sin\left(a+b\,x\right)}\,\left(2\,{\sin\left(2\,a+2\,b\,x\right)}^2+\sin\left(4\,a+4\,b\,x\right)\,1{}\mathrm{i}-1\right)\,\left(\frac{32\,c\,\left(-2\,{\sin\left(2\,a+2\,b\,x\right)}^2+\sin\left(4\,a+4\,b\,x\right)\,1{}\mathrm{i}+1\right)}{15\,b\,d^5}+\frac{16\,c\,\left(2\,{\sin\left(2\,a+2\,b\,x\right)}^2-1\right)\,\left(-2\,{\sin\left(2\,a+2\,b\,x\right)}^2+\sin\left(4\,a+4\,b\,x\right)\,1{}\mathrm{i}+1\right)}{45\,b\,d^5}+\frac{16\,c\,\left(2\,{\sin\left(a+b\,x\right)}^2-1\right)\,\left(-2\,{\sin\left(2\,a+2\,b\,x\right)}^2+\sin\left(4\,a+4\,b\,x\right)\,1{}\mathrm{i}+1\right)}{9\,b\,d^5}\right)}{16\,{\left({\sin\left(a+b\,x\right)}^2-1\right)}^2\,\sqrt{-d\,\left(2\,{\sin\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2-1\right)}}","Not used",1,"-((c*sin(a + b*x))^(1/2)*(sin(4*a + 4*b*x)*1i + 2*sin(2*a + 2*b*x)^2 - 1)*((32*c*(sin(4*a + 4*b*x)*1i - 2*sin(2*a + 2*b*x)^2 + 1))/(15*b*d^5) + (16*c*(2*sin(2*a + 2*b*x)^2 - 1)*(sin(4*a + 4*b*x)*1i - 2*sin(2*a + 2*b*x)^2 + 1))/(45*b*d^5) + (16*c*(2*sin(a + b*x)^2 - 1)*(sin(4*a + 4*b*x)*1i - 2*sin(2*a + 2*b*x)^2 + 1))/(9*b*d^5)))/(16*(sin(a + b*x)^2 - 1)^2*(-d*(2*sin(a/2 + (b*x)/2)^2 - 1))^(1/2))","B"
275,1,193,141,6.673704,"\text{Not used}","int((c*sin(a + b*x))^(3/2)/(d*cos(a + b*x))^(15/2),x)","-\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\sqrt{c\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}\,\left(-\frac{3776\,c\,{\mathrm{e}}^{a\,6{}\mathrm{i}+b\,x\,6{}\mathrm{i}}}{585\,b\,d^7}+\frac{2752\,c\,{\mathrm{e}}^{a\,6{}\mathrm{i}+b\,x\,6{}\mathrm{i}}\,\cos\left(2\,a+2\,b\,x\right)}{585\,b\,d^7}+\frac{896\,c\,{\mathrm{e}}^{a\,6{}\mathrm{i}+b\,x\,6{}\mathrm{i}}\,\cos\left(4\,a+4\,b\,x\right)}{585\,b\,d^7}+\frac{128\,c\,{\mathrm{e}}^{a\,6{}\mathrm{i}+b\,x\,6{}\mathrm{i}}\,\cos\left(6\,a+6\,b\,x\right)}{585\,b\,d^7}\right)}{64\,{\cos\left(a+b\,x\right)}^6\,\sqrt{d\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}}{2}\right)}}","Not used",1,"-(exp(- a*6i - b*x*6i)*(c*((exp(- a*1i - b*x*1i)*1i)/2 - (exp(a*1i + b*x*1i)*1i)/2))^(1/2)*((2752*c*exp(a*6i + b*x*6i)*cos(2*a + 2*b*x))/(585*b*d^7) - (3776*c*exp(a*6i + b*x*6i))/(585*b*d^7) + (896*c*exp(a*6i + b*x*6i)*cos(4*a + 4*b*x))/(585*b*d^7) + (128*c*exp(a*6i + b*x*6i)*cos(6*a + 6*b*x))/(585*b*d^7)))/(64*cos(a + b*x)^6*(d*(exp(- a*1i - b*x*1i)/2 + exp(a*1i + b*x*1i)/2))^(1/2))","B"
276,0,-1,166,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(9/2)*(c*sin(a + b*x))^(5/2),x)","\int {\left(d\,\cos\left(a+b\,x\right)\right)}^{9/2}\,{\left(c\,\sin\left(a+b\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((d*cos(a + b*x))^(9/2)*(c*sin(a + b*x))^(5/2), x)","F"
277,0,-1,131,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(5/2)*(c*sin(a + b*x))^(5/2),x)","\int {\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2}\,{\left(c\,\sin\left(a+b\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((d*cos(a + b*x))^(5/2)*(c*sin(a + b*x))^(5/2), x)","F"
278,0,-1,95,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(1/2)*(c*sin(a + b*x))^(5/2),x)","\int \sqrt{d\,\cos\left(a+b\,x\right)}\,{\left(c\,\sin\left(a+b\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((d*cos(a + b*x))^(1/2)*(c*sin(a + b*x))^(5/2), x)","F"
279,0,-1,94,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(5/2)/(d*cos(a + b*x))^(3/2),x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^{5/2}}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((c*sin(a + b*x))^(5/2)/(d*cos(a + b*x))^(3/2), x)","F"
280,0,-1,133,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(5/2)/(d*cos(a + b*x))^(7/2),x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^{5/2}}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int((c*sin(a + b*x))^(5/2)/(d*cos(a + b*x))^(7/2), x)","F"
281,0,-1,168,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(5/2)/(d*cos(a + b*x))^(11/2),x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^{5/2}}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{11/2}} \,d x","Not used",1,"int((c*sin(a + b*x))^(5/2)/(d*cos(a + b*x))^(11/2), x)","F"
282,0,-1,320,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(5/2)/(d*cos(a + b*x))^(1/2),x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^{5/2}}{\sqrt{d\,\cos\left(a+b\,x\right)}} \,d x","Not used",1,"int((c*sin(a + b*x))^(5/2)/(d*cos(a + b*x))^(1/2), x)","F"
283,0,-1,315,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(5/2)/(d*cos(a + b*x))^(5/2),x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^{5/2}}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((c*sin(a + b*x))^(5/2)/(d*cos(a + b*x))^(5/2), x)","F"
284,1,89,37,1.777664,"\text{Not used}","int((c*sin(a + b*x))^(5/2)/(d*cos(a + b*x))^(9/2),x)","\frac{2\,c^2\,\sqrt{c\,\sin\left(a+b\,x\right)}\,\left(3\,\sin\left(2\,a+2\,b\,x\right)-\sin\left(6\,a+6\,b\,x\right)\right)}{7\,b\,d^4\,\sqrt{d\,\cos\left(a+b\,x\right)}\,\left(15\,\cos\left(2\,a+2\,b\,x\right)+6\,\cos\left(4\,a+4\,b\,x\right)+\cos\left(6\,a+6\,b\,x\right)+10\right)}","Not used",1,"(2*c^2*(c*sin(a + b*x))^(1/2)*(3*sin(2*a + 2*b*x) - sin(6*a + 6*b*x)))/(7*b*d^4*(d*cos(a + b*x))^(1/2)*(15*cos(2*a + 2*b*x) + 6*cos(4*a + 4*b*x) + cos(6*a + 6*b*x) + 10))","B"
285,1,176,106,6.335012,"\text{Not used}","int((c*sin(a + b*x))^(5/2)/(d*cos(a + b*x))^(13/2),x)","-\frac{{\mathrm{e}}^{-a\,5{}\mathrm{i}-b\,x\,5{}\mathrm{i}}\,\sqrt{c\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}\,\left(\frac{96\,c^2\,{\mathrm{e}}^{a\,5{}\mathrm{i}+b\,x\,5{}\mathrm{i}}\,\sin\left(3\,a+3\,b\,x\right)}{77\,b\,d^6}+\frac{16\,c^2\,{\mathrm{e}}^{a\,5{}\mathrm{i}+b\,x\,5{}\mathrm{i}}\,\sin\left(5\,a+5\,b\,x\right)}{77\,b\,d^6}-\frac{368\,c^2\,{\mathrm{e}}^{a\,5{}\mathrm{i}+b\,x\,5{}\mathrm{i}}\,\sin\left(a+b\,x\right)}{77\,b\,d^6}\right)}{32\,{\cos\left(a+b\,x\right)}^5\,\sqrt{d\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}}{2}\right)}}","Not used",1,"-(exp(- a*5i - b*x*5i)*(c*((exp(- a*1i - b*x*1i)*1i)/2 - (exp(a*1i + b*x*1i)*1i)/2))^(1/2)*((96*c^2*exp(a*5i + b*x*5i)*sin(3*a + 3*b*x))/(77*b*d^6) + (16*c^2*exp(a*5i + b*x*5i)*sin(5*a + 5*b*x))/(77*b*d^6) - (368*c^2*exp(a*5i + b*x*5i)*sin(a + b*x))/(77*b*d^6)))/(32*cos(a + b*x)^5*(d*(exp(- a*1i - b*x*1i)/2 + exp(a*1i + b*x*1i)/2))^(1/2))","B"
286,1,207,141,6.429574,"\text{Not used}","int((c*sin(a + b*x))^(5/2)/(d*cos(a + b*x))^(17/2),x)","-\frac{{\mathrm{e}}^{-a\,7{}\mathrm{i}-b\,x\,7{}\mathrm{i}}\,\sqrt{c\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}\,\left(\frac{1216\,c^2\,{\mathrm{e}}^{a\,7{}\mathrm{i}+b\,x\,7{}\mathrm{i}}\,\sin\left(3\,a+3\,b\,x\right)}{385\,b\,d^8}+\frac{1024\,c^2\,{\mathrm{e}}^{a\,7{}\mathrm{i}+b\,x\,7{}\mathrm{i}}\,\sin\left(5\,a+5\,b\,x\right)}{1155\,b\,d^8}+\frac{128\,c^2\,{\mathrm{e}}^{a\,7{}\mathrm{i}+b\,x\,7{}\mathrm{i}}\,\sin\left(7\,a+7\,b\,x\right)}{1155\,b\,d^8}-\frac{3392\,c^2\,{\mathrm{e}}^{a\,7{}\mathrm{i}+b\,x\,7{}\mathrm{i}}\,\sin\left(a+b\,x\right)}{231\,b\,d^8}\right)}{128\,{\cos\left(a+b\,x\right)}^7\,\sqrt{d\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}}{2}\right)}}","Not used",1,"-(exp(- a*7i - b*x*7i)*(c*((exp(- a*1i - b*x*1i)*1i)/2 - (exp(a*1i + b*x*1i)*1i)/2))^(1/2)*((1216*c^2*exp(a*7i + b*x*7i)*sin(3*a + 3*b*x))/(385*b*d^8) + (1024*c^2*exp(a*7i + b*x*7i)*sin(5*a + 5*b*x))/(1155*b*d^8) + (128*c^2*exp(a*7i + b*x*7i)*sin(7*a + 7*b*x))/(1155*b*d^8) - (3392*c^2*exp(a*7i + b*x*7i)*sin(a + b*x))/(231*b*d^8)))/(128*cos(a + b*x)^7*(d*(exp(- a*1i - b*x*1i)/2 + exp(a*1i + b*x*1i)/2))^(1/2))","B"
287,1,44,226,2.048233,"\text{Not used}","int(sin(a + b*x)^(7/2)/cos(a + b*x)^(7/2),x)","\frac{2\,{\sin\left(a+b\,x\right)}^{9/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{4},-\frac{5}{4};\ -\frac{1}{4};\ {\cos\left(a+b\,x\right)}^2\right)}{5\,b\,{\cos\left(a+b\,x\right)}^{5/2}\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{9/4}}","Not used",1,"(2*sin(a + b*x)^(9/2)*hypergeom([-5/4, -5/4], -1/4, cos(a + b*x)^2))/(5*b*cos(a + b*x)^(5/2)*(sin(a + b*x)^2)^(9/4))","B"
288,1,53,16,0.862462,"\text{Not used}","int(sin(x)^(3/2)/cos(x)^(7/2),x)","-\frac{8\,\sqrt{2}\,{\mathrm{tan}\left(\frac{x}{2}\right)}^{5/2}\,\sqrt{1-{\mathrm{tan}\left(\frac{x}{2}\right)}^2}}{{\mathrm{tan}\left(\frac{x}{2}\right)}^2\,\left({\mathrm{tan}\left(\frac{x}{2}\right)}^2\,\left(5\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2-15\right)+15\right)-5}","Not used",1,"-(8*2^(1/2)*tan(x/2)^(5/2)*(1 - tan(x/2)^2)^(1/2))/(tan(x/2)^2*(tan(x/2)^2*(5*tan(x/2)^2 - 15) + 15) - 5)","B"
289,1,25,122,0.720928,"\text{Not used}","int(sin(x)^(1/2)/cos(x)^(1/2),x)","-\frac{2\,\sqrt{\cos\left(x\right)}\,{\sin\left(x\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{1}{4};\ \frac{5}{4};\ {\cos\left(x\right)}^2\right)}{{\left({\sin\left(x\right)}^2\right)}^{3/4}}","Not used",1,"-(2*cos(x)^(1/2)*sin(x)^(3/2)*hypergeom([1/4, 1/4], 5/4, cos(x)^2))/(sin(x)^2)^(3/4)","B"
290,1,25,143,0.808740,"\text{Not used}","int(sin(x)^(5/2)/cos(x)^(1/2),x)","-\frac{2\,\sqrt{\cos\left(x\right)}\,{\sin\left(x\right)}^{7/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{4},\frac{1}{4};\ \frac{5}{4};\ {\cos\left(x\right)}^2\right)}{{\left({\sin\left(x\right)}^2\right)}^{7/4}}","Not used",1,"-(2*cos(x)^(1/2)*sin(x)^(7/2)*hypergeom([-3/4, 1/4], 5/4, cos(x)^2))/(sin(x)^2)^(7/4)","B"
291,0,-1,132,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(7/2)/(c*sin(a + b*x))^(1/2),x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{7/2}}{\sqrt{c\,\sin\left(a+b\,x\right)}} \,d x","Not used",1,"int((d*cos(a + b*x))^(7/2)/(c*sin(a + b*x))^(1/2), x)","F"
292,0,-1,92,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(3/2)/(c*sin(a + b*x))^(1/2),x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}}{\sqrt{c\,\sin\left(a+b\,x\right)}} \,d x","Not used",1,"int((d*cos(a + b*x))^(3/2)/(c*sin(a + b*x))^(1/2), x)","F"
293,0,-1,53,0.000000,"\text{Not used}","int(1/((d*cos(a + b*x))^(1/2)*(c*sin(a + b*x))^(1/2)),x)","\int \frac{1}{\sqrt{d\,\cos\left(a+b\,x\right)}\,\sqrt{c\,\sin\left(a+b\,x\right)}} \,d x","Not used",1,"int(1/((d*cos(a + b*x))^(1/2)*(c*sin(a + b*x))^(1/2)), x)","F"
294,0,-1,97,0.000000,"\text{Not used}","int(1/((d*cos(a + b*x))^(5/2)*(c*sin(a + b*x))^(1/2)),x)","\int \frac{1}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2}\,\sqrt{c\,\sin\left(a+b\,x\right)}} \,d x","Not used",1,"int(1/((d*cos(a + b*x))^(5/2)*(c*sin(a + b*x))^(1/2)), x)","F"
295,0,-1,134,0.000000,"\text{Not used}","int(1/((d*cos(a + b*x))^(9/2)*(c*sin(a + b*x))^(1/2)),x)","\int \frac{1}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{9/2}\,\sqrt{c\,\sin\left(a+b\,x\right)}} \,d x","Not used",1,"int(1/((d*cos(a + b*x))^(9/2)*(c*sin(a + b*x))^(1/2)), x)","F"
296,0,-1,280,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(1/2)/(c*sin(a + b*x))^(1/2),x)","\int \frac{\sqrt{d\,\cos\left(a+b\,x\right)}}{\sqrt{c\,\sin\left(a+b\,x\right)}} \,d x","Not used",1,"int((d*cos(a + b*x))^(1/2)/(c*sin(a + b*x))^(1/2), x)","F"
297,1,31,35,0.814660,"\text{Not used}","int(1/((d*cos(a + b*x))^(3/2)*(c*sin(a + b*x))^(1/2)),x)","\frac{2\,\sqrt{c\,\sin\left(a+b\,x\right)}}{b\,c\,d\,\sqrt{d\,\cos\left(a+b\,x\right)}}","Not used",1,"(2*(c*sin(a + b*x))^(1/2))/(b*c*d*(d*cos(a + b*x))^(1/2))","B"
298,1,77,75,1.492750,"\text{Not used}","int(1/((d*cos(a + b*x))^(7/2)*(c*sin(a + b*x))^(1/2)),x)","\frac{8\,\sqrt{c\,\sin\left(a+b\,x\right)}\,\left(5\,\cos\left(2\,a+2\,b\,x\right)+\cos\left(4\,a+4\,b\,x\right)+4\right)}{5\,b\,c\,d^3\,\sqrt{d\,\cos\left(a+b\,x\right)}\,\left(4\,\cos\left(2\,a+2\,b\,x\right)+\cos\left(4\,a+4\,b\,x\right)+3\right)}","Not used",1,"(8*(c*sin(a + b*x))^(1/2)*(5*cos(2*a + 2*b*x) + cos(4*a + 4*b*x) + 4))/(5*b*c*d^3*(d*cos(a + b*x))^(1/2)*(4*cos(2*a + 2*b*x) + cos(4*a + 4*b*x) + 3))","B"
299,1,123,112,3.826047,"\text{Not used}","int(1/((d*cos(a + b*x))^(11/2)*(c*sin(a + b*x))^(1/2)),x)","\frac{32\,\sqrt{c\,\sin\left(a+b\,x\right)}\,\left(162\,\cos\left(2\,a+2\,b\,x\right)+73\,\cos\left(4\,a+4\,b\,x\right)+18\,\cos\left(6\,a+6\,b\,x\right)+2\,\cos\left(8\,a+8\,b\,x\right)+105\right)}{45\,b\,c\,d^5\,\sqrt{d\,\cos\left(a+b\,x\right)}\,\left(56\,\cos\left(2\,a+2\,b\,x\right)+28\,\cos\left(4\,a+4\,b\,x\right)+8\,\cos\left(6\,a+6\,b\,x\right)+\cos\left(8\,a+8\,b\,x\right)+35\right)}","Not used",1,"(32*(c*sin(a + b*x))^(1/2)*(162*cos(2*a + 2*b*x) + 73*cos(4*a + 4*b*x) + 18*cos(6*a + 6*b*x) + 2*cos(8*a + 8*b*x) + 105))/(45*b*c*d^5*(d*cos(a + b*x))^(1/2)*(56*cos(2*a + 2*b*x) + 28*cos(4*a + 4*b*x) + 8*cos(6*a + 6*b*x) + cos(8*a + 8*b*x) + 35))","B"
300,1,44,174,1.599169,"\text{Not used}","int(cos(a + b*x)^(1/2)/sin(a + b*x)^(1/2),x)","-\frac{2\,{\cos\left(a+b\,x\right)}^{3/2}\,\sqrt{\sin\left(a+b\,x\right)}\,{{}}_2{\mathrm{F}}_1\left(\frac{3}{4},\frac{3}{4};\ \frac{7}{4};\ {\cos\left(a+b\,x\right)}^2\right)}{3\,b\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{1/4}}","Not used",1,"-(2*cos(a + b*x)^(3/2)*sin(a + b*x)^(1/2)*hypergeom([3/4, 3/4], 7/4, cos(a + b*x)^2))/(3*b*(sin(a + b*x)^2)^(1/4))","B"
301,1,44,199,1.624777,"\text{Not used}","int(cos(a + b*x)^(3/2)/sin(a + b*x)^(3/2),x)","-\frac{2\,{\cos\left(a+b\,x\right)}^{5/2}\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{5}{4},\frac{5}{4};\ \frac{9}{4};\ {\cos\left(a+b\,x\right)}^2\right)}{5\,b\,\sqrt{\sin\left(a+b\,x\right)}}","Not used",1,"-(2*cos(a + b*x)^(5/2)*(sin(a + b*x)^2)^(1/4)*hypergeom([5/4, 5/4], 9/4, cos(a + b*x)^2))/(5*b*sin(a + b*x)^(1/2))","B"
302,1,44,201,1.900536,"\text{Not used}","int(cos(a + b*x)^(5/2)/sin(a + b*x)^(5/2),x)","-\frac{2\,{\cos\left(a+b\,x\right)}^{7/2}\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{7}{4},\frac{7}{4};\ \frac{11}{4};\ {\cos\left(a+b\,x\right)}^2\right)}{7\,b\,{\sin\left(a+b\,x\right)}^{3/2}}","Not used",1,"-(2*cos(a + b*x)^(7/2)*(sin(a + b*x)^2)^(3/4)*hypergeom([7/4, 7/4], 11/4, cos(a + b*x)^2))/(7*b*sin(a + b*x)^(3/2))","B"
303,1,44,226,1.875290,"\text{Not used}","int(cos(a + b*x)^(7/2)/sin(a + b*x)^(7/2),x)","-\frac{2\,{\cos\left(a+b\,x\right)}^{9/2}\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{5/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{9}{4},\frac{9}{4};\ \frac{13}{4};\ {\cos\left(a+b\,x\right)}^2\right)}{9\,b\,{\sin\left(a+b\,x\right)}^{5/2}}","Not used",1,"-(2*cos(a + b*x)^(9/2)*(sin(a + b*x)^2)^(5/4)*hypergeom([9/4, 9/4], 13/4, cos(a + b*x)^2))/(9*b*sin(a + b*x)^(5/2))","B"
304,0,-1,58,0.000000,"\text{Not used}","int(cos(e + f*x)^4*(b*sin(e + f*x))^(1/3),x)","\int {\cos\left(e+f\,x\right)}^4\,{\left(b\,\sin\left(e+f\,x\right)\right)}^{1/3} \,d x","Not used",1,"int(cos(e + f*x)^4*(b*sin(e + f*x))^(1/3), x)","F"
305,0,-1,58,0.000000,"\text{Not used}","int(cos(e + f*x)^2*(b*sin(e + f*x))^(1/3),x)","\int {\cos\left(e+f\,x\right)}^2\,{\left(b\,\sin\left(e+f\,x\right)\right)}^{1/3} \,d x","Not used",1,"int(cos(e + f*x)^2*(b*sin(e + f*x))^(1/3), x)","F"
306,0,-1,58,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(1/3),x)","\int {\left(b\,\sin\left(e+f\,x\right)\right)}^{1/3} \,d x","Not used",1,"int((b*sin(e + f*x))^(1/3), x)","F"
307,0,-1,58,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(1/3)/cos(e + f*x)^2,x)","\int \frac{{\left(b\,\sin\left(e+f\,x\right)\right)}^{1/3}}{{\cos\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((b*sin(e + f*x))^(1/3)/cos(e + f*x)^2, x)","F"
308,0,-1,58,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(1/3)/cos(e + f*x)^4,x)","\int \frac{{\left(b\,\sin\left(e+f\,x\right)\right)}^{1/3}}{{\cos\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((b*sin(e + f*x))^(1/3)/cos(e + f*x)^4, x)","F"
309,0,-1,58,0.000000,"\text{Not used}","int(cos(e + f*x)^4*(b*sin(e + f*x))^(5/3),x)","\int {\cos\left(e+f\,x\right)}^4\,{\left(b\,\sin\left(e+f\,x\right)\right)}^{5/3} \,d x","Not used",1,"int(cos(e + f*x)^4*(b*sin(e + f*x))^(5/3), x)","F"
310,0,-1,58,0.000000,"\text{Not used}","int(cos(e + f*x)^2*(b*sin(e + f*x))^(5/3),x)","\int {\cos\left(e+f\,x\right)}^2\,{\left(b\,\sin\left(e+f\,x\right)\right)}^{5/3} \,d x","Not used",1,"int(cos(e + f*x)^2*(b*sin(e + f*x))^(5/3), x)","F"
311,0,-1,58,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(5/3),x)","\int {\left(b\,\sin\left(e+f\,x\right)\right)}^{5/3} \,d x","Not used",1,"int((b*sin(e + f*x))^(5/3), x)","F"
312,0,-1,58,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(5/3)/cos(e + f*x)^2,x)","\int \frac{{\left(b\,\sin\left(e+f\,x\right)\right)}^{5/3}}{{\cos\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((b*sin(e + f*x))^(5/3)/cos(e + f*x)^2, x)","F"
313,0,-1,58,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(5/3)/cos(e + f*x)^4,x)","\int \frac{{\left(b\,\sin\left(e+f\,x\right)\right)}^{5/3}}{{\cos\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((b*sin(e + f*x))^(5/3)/cos(e + f*x)^4, x)","F"
314,0,-1,58,0.000000,"\text{Not used}","int(cos(e + f*x)^4/(b*sin(e + f*x))^(1/3),x)","\int \frac{{\cos\left(e+f\,x\right)}^4}{{\left(b\,\sin\left(e+f\,x\right)\right)}^{1/3}} \,d x","Not used",1,"int(cos(e + f*x)^4/(b*sin(e + f*x))^(1/3), x)","F"
315,0,-1,58,0.000000,"\text{Not used}","int(cos(e + f*x)^2/(b*sin(e + f*x))^(1/3),x)","\int \frac{{\cos\left(e+f\,x\right)}^2}{{\left(b\,\sin\left(e+f\,x\right)\right)}^{1/3}} \,d x","Not used",1,"int(cos(e + f*x)^2/(b*sin(e + f*x))^(1/3), x)","F"
316,0,-1,58,0.000000,"\text{Not used}","int(1/(b*sin(e + f*x))^(1/3),x)","\int \frac{1}{{\left(b\,\sin\left(e+f\,x\right)\right)}^{1/3}} \,d x","Not used",1,"int(1/(b*sin(e + f*x))^(1/3), x)","F"
317,0,-1,58,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^2*(b*sin(e + f*x))^(1/3)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^2\,{\left(b\,\sin\left(e+f\,x\right)\right)}^{1/3}} \,d x","Not used",1,"int(1/(cos(e + f*x)^2*(b*sin(e + f*x))^(1/3)), x)","F"
318,0,-1,58,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^4*(b*sin(e + f*x))^(1/3)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^4\,{\left(b\,\sin\left(e+f\,x\right)\right)}^{1/3}} \,d x","Not used",1,"int(1/(cos(e + f*x)^4*(b*sin(e + f*x))^(1/3)), x)","F"
319,0,-1,58,0.000000,"\text{Not used}","int(cos(e + f*x)^4/(b*sin(e + f*x))^(5/3),x)","\int \frac{{\cos\left(e+f\,x\right)}^4}{{\left(b\,\sin\left(e+f\,x\right)\right)}^{5/3}} \,d x","Not used",1,"int(cos(e + f*x)^4/(b*sin(e + f*x))^(5/3), x)","F"
320,0,-1,58,0.000000,"\text{Not used}","int(cos(e + f*x)^2/(b*sin(e + f*x))^(5/3),x)","\int \frac{{\cos\left(e+f\,x\right)}^2}{{\left(b\,\sin\left(e+f\,x\right)\right)}^{5/3}} \,d x","Not used",1,"int(cos(e + f*x)^2/(b*sin(e + f*x))^(5/3), x)","F"
321,0,-1,58,0.000000,"\text{Not used}","int(1/(b*sin(e + f*x))^(5/3),x)","\int \frac{1}{{\left(b\,\sin\left(e+f\,x\right)\right)}^{5/3}} \,d x","Not used",1,"int(1/(b*sin(e + f*x))^(5/3), x)","F"
322,0,-1,58,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^2*(b*sin(e + f*x))^(5/3)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^2\,{\left(b\,\sin\left(e+f\,x\right)\right)}^{5/3}} \,d x","Not used",1,"int(1/(cos(e + f*x)^2*(b*sin(e + f*x))^(5/3)), x)","F"
323,0,-1,58,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^4*(b*sin(e + f*x))^(5/3)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^4\,{\left(b\,\sin\left(e+f\,x\right)\right)}^{5/3}} \,d x","Not used",1,"int(1/(cos(e + f*x)^4*(b*sin(e + f*x))^(5/3)), x)","F"
324,1,44,128,1.236849,"\text{Not used}","int(sin(a + b*x)^(1/3)/cos(a + b*x)^(1/3),x)","-\frac{3\,{\cos\left(a+b\,x\right)}^{2/3}\,{\sin\left(a+b\,x\right)}^{4/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{1}{3};\ \frac{4}{3};\ {\cos\left(a+b\,x\right)}^2\right)}{2\,b\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{2/3}}","Not used",1,"-(3*cos(a + b*x)^(2/3)*sin(a + b*x)^(4/3)*hypergeom([1/3, 1/3], 4/3, cos(a + b*x)^2))/(2*b*(sin(a + b*x)^2)^(2/3))","B"
325,1,44,224,1.048521,"\text{Not used}","int(sin(a + b*x)^(2/3)/cos(a + b*x)^(2/3),x)","-\frac{3\,{\cos\left(a+b\,x\right)}^{1/3}\,{\sin\left(a+b\,x\right)}^{5/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{6},\frac{1}{6};\ \frac{7}{6};\ {\cos\left(a+b\,x\right)}^2\right)}{b\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{5/6}}","Not used",1,"-(3*cos(a + b*x)^(1/3)*sin(a + b*x)^(5/3)*hypergeom([1/6, 1/6], 7/6, cos(a + b*x)^2))/(b*(sin(a + b*x)^2)^(5/6))","B"
326,1,44,249,1.640384,"\text{Not used}","int(sin(a + b*x)^(4/3)/cos(a + b*x)^(4/3),x)","\frac{3\,{\sin\left(a+b\,x\right)}^{7/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{6},-\frac{1}{6};\ \frac{5}{6};\ {\cos\left(a+b\,x\right)}^2\right)}{b\,{\cos\left(a+b\,x\right)}^{1/3}\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{7/6}}","Not used",1,"(3*sin(a + b*x)^(7/3)*hypergeom([-1/6, -1/6], 5/6, cos(a + b*x)^2))/(b*cos(a + b*x)^(1/3)*(sin(a + b*x)^2)^(7/6))","B"
327,1,44,155,1.138573,"\text{Not used}","int(sin(a + b*x)^(5/3)/cos(a + b*x)^(5/3),x)","\frac{3\,{\sin\left(a+b\,x\right)}^{8/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},-\frac{1}{3};\ \frac{2}{3};\ {\cos\left(a+b\,x\right)}^2\right)}{2\,b\,{\cos\left(a+b\,x\right)}^{2/3}\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{4/3}}","Not used",1,"(3*sin(a + b*x)^(8/3)*hypergeom([-1/3, -1/3], 2/3, cos(a + b*x)^2))/(2*b*cos(a + b*x)^(2/3)*(sin(a + b*x)^2)^(4/3))","B"
328,1,44,155,1.644371,"\text{Not used}","int(sin(a + b*x)^(7/3)/cos(a + b*x)^(7/3),x)","\frac{3\,{\sin\left(a+b\,x\right)}^{10/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{2}{3},-\frac{2}{3};\ \frac{1}{3};\ {\cos\left(a+b\,x\right)}^2\right)}{4\,b\,{\cos\left(a+b\,x\right)}^{4/3}\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{5/3}}","Not used",1,"(3*sin(a + b*x)^(10/3)*hypergeom([-2/3, -2/3], 1/3, cos(a + b*x)^2))/(4*b*cos(a + b*x)^(4/3)*(sin(a + b*x)^2)^(5/3))","B"
329,1,44,128,1.484919,"\text{Not used}","int(cos(a + b*x)^(1/3)/sin(a + b*x)^(1/3),x)","-\frac{3\,{\cos\left(a+b\,x\right)}^{4/3}\,{\sin\left(a+b\,x\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{2}{3},\frac{2}{3};\ \frac{5}{3};\ {\cos\left(a+b\,x\right)}^2\right)}{4\,b\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{1/3}}","Not used",1,"-(3*cos(a + b*x)^(4/3)*sin(a + b*x)^(2/3)*hypergeom([2/3, 2/3], 5/3, cos(a + b*x)^2))/(4*b*(sin(a + b*x)^2)^(1/3))","B"
330,1,44,225,1.117560,"\text{Not used}","int(cos(a + b*x)^(2/3)/sin(a + b*x)^(2/3),x)","-\frac{3\,{\cos\left(a+b\,x\right)}^{5/3}\,{\sin\left(a+b\,x\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{5}{6},\frac{5}{6};\ \frac{11}{6};\ {\cos\left(a+b\,x\right)}^2\right)}{5\,b\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{1/6}}","Not used",1,"-(3*cos(a + b*x)^(5/3)*sin(a + b*x)^(1/3)*hypergeom([5/6, 5/6], 11/6, cos(a + b*x)^2))/(5*b*(sin(a + b*x)^2)^(1/6))","B"
331,1,44,250,1.695446,"\text{Not used}","int(cos(a + b*x)^(4/3)/sin(a + b*x)^(4/3),x)","-\frac{3\,{\cos\left(a+b\,x\right)}^{7/3}\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{1/6}\,{{}}_2{\mathrm{F}}_1\left(\frac{7}{6},\frac{7}{6};\ \frac{13}{6};\ {\cos\left(a+b\,x\right)}^2\right)}{7\,b\,{\sin\left(a+b\,x\right)}^{1/3}}","Not used",1,"-(3*cos(a + b*x)^(7/3)*(sin(a + b*x)^2)^(1/6)*hypergeom([7/6, 7/6], 13/6, cos(a + b*x)^2))/(7*b*sin(a + b*x)^(1/3))","B"
332,1,44,155,1.199948,"\text{Not used}","int(cos(a + b*x)^(5/3)/sin(a + b*x)^(5/3),x)","-\frac{3\,{\cos\left(a+b\,x\right)}^{8/3}\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{4}{3},\frac{4}{3};\ \frac{7}{3};\ {\cos\left(a+b\,x\right)}^2\right)}{8\,b\,{\sin\left(a+b\,x\right)}^{2/3}}","Not used",1,"-(3*cos(a + b*x)^(8/3)*(sin(a + b*x)^2)^(1/3)*hypergeom([4/3, 4/3], 7/3, cos(a + b*x)^2))/(8*b*sin(a + b*x)^(2/3))","B"
333,1,44,155,1.914251,"\text{Not used}","int(cos(a + b*x)^(7/3)/sin(a + b*x)^(7/3),x)","-\frac{3\,{\cos\left(a+b\,x\right)}^{10/3}\,{\left({\sin\left(a+b\,x\right)}^2\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{5}{3},\frac{5}{3};\ \frac{8}{3};\ {\cos\left(a+b\,x\right)}^2\right)}{10\,b\,{\sin\left(a+b\,x\right)}^{4/3}}","Not used",1,"-(3*cos(a + b*x)^(10/3)*(sin(a + b*x)^2)^(2/3)*hypergeom([5/3, 5/3], 8/3, cos(a + b*x)^2))/(10*b*sin(a + b*x)^(4/3))","B"
334,1,10,16,0.826033,"\text{Not used}","int(cos(x)^(2/3)/sin(x)^(8/3),x)","-\frac{3\,{\cos\left(x\right)}^{5/3}}{5\,{\sin\left(x\right)}^{5/3}}","Not used",1,"-(3*cos(x)^(5/3))/(5*sin(x)^(5/3))","B"
335,1,94,16,0.822493,"\text{Not used}","int(sin(x)^(2/3)/cos(x)^(8/3),x)","\frac{6\,2^{2/3}\,{\mathrm{tan}\left(\frac{x}{2}\right)}^{5/3}\,{\left(1-{\mathrm{tan}\left(\frac{x}{2}\right)}^2\right)}^{1/3}+6\,2^{2/3}\,{\mathrm{tan}\left(\frac{x}{2}\right)}^{11/3}\,{\left(1-{\mathrm{tan}\left(\frac{x}{2}\right)}^2\right)}^{1/3}}{5\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2-{\mathrm{tan}\left(\frac{x}{2}\right)}^2\,\left(10\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2-5\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2\,\left({\mathrm{tan}\left(\frac{x}{2}\right)}^2+1\right)+10\right)+5}","Not used",1,"(6*2^(2/3)*tan(x/2)^(5/3)*(1 - tan(x/2)^2)^(1/3) + 6*2^(2/3)*tan(x/2)^(11/3)*(1 - tan(x/2)^2)^(1/3))/(5*tan(x/2)^2 - tan(x/2)^2*(10*tan(x/2)^2 - 5*tan(x/2)^2*(tan(x/2)^2 + 1) + 10) + 5)","B"
336,1,71,80,2.345714,"\text{Not used}","int(cos(e + f*x)^n*sin(e + f*x)^m,x)","-\frac{{\cos\left(e+f\,x\right)}^{n+1}\,{\sin\left(e+f\,x\right)}^{m+1}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2}-\frac{m}{2},\frac{n}{2}+\frac{1}{2};\ \frac{n}{2}+\frac{3}{2};\ {\cos\left(e+f\,x\right)}^2\right)}{f\,\left(n+1\right)\,{\left({\sin\left(e+f\,x\right)}^2\right)}^{\frac{m}{2}+\frac{1}{2}}}","Not used",1,"-(cos(e + f*x)^(n + 1)*sin(e + f*x)^(m + 1)*hypergeom([1/2 - m/2, n/2 + 1/2], n/2 + 3/2, cos(e + f*x)^2))/(f*(n + 1)*(sin(e + f*x)^2)^(m/2 + 1/2))","B"
337,0,-1,85,0.000000,"\text{Not used}","int(sin(e + f*x)^m*(d*cos(e + f*x))^n,x)","\int {\sin\left(e+f\,x\right)}^m\,{\left(d\,\cos\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int(sin(e + f*x)^m*(d*cos(e + f*x))^n, x)","F"
338,0,-1,83,0.000000,"\text{Not used}","int(cos(e + f*x)^n*(b*sin(e + f*x))^m,x)","\int {\cos\left(e+f\,x\right)}^n\,{\left(b\,\sin\left(e+f\,x\right)\right)}^m \,d x","Not used",1,"int(cos(e + f*x)^n*(b*sin(e + f*x))^m, x)","F"
339,0,-1,88,0.000000,"\text{Not used}","int((d*cos(e + f*x))^n*(b*sin(e + f*x))^m,x)","\int {\left(d\,\cos\left(e+f\,x\right)\right)}^n\,{\left(b\,\sin\left(e+f\,x\right)\right)}^m \,d x","Not used",1,"int((d*cos(e + f*x))^n*(b*sin(e + f*x))^m, x)","F"
340,1,132,74,1.611604,"\text{Not used}","int(cos(a + b*x)^5*(c*sin(a + b*x))^m,x)","\frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^m\,\left(150\,\sin\left(a+b\,x\right)+25\,\sin\left(3\,a+3\,b\,x\right)+3\,\sin\left(5\,a+5\,b\,x\right)+24\,m\,\sin\left(a+b\,x\right)+28\,m\,\sin\left(3\,a+3\,b\,x\right)+4\,m\,\sin\left(5\,a+5\,b\,x\right)+2\,m^2\,\sin\left(a+b\,x\right)+3\,m^2\,\sin\left(3\,a+3\,b\,x\right)+m^2\,\sin\left(5\,a+5\,b\,x\right)\right)}{16\,b\,\left(m^3+9\,m^2+23\,m+15\right)}","Not used",1,"((c*sin(a + b*x))^m*(150*sin(a + b*x) + 25*sin(3*a + 3*b*x) + 3*sin(5*a + 5*b*x) + 24*m*sin(a + b*x) + 28*m*sin(3*a + 3*b*x) + 4*m*sin(5*a + 5*b*x) + 2*m^2*sin(a + b*x) + 3*m^2*sin(3*a + 3*b*x) + m^2*sin(5*a + 5*b*x)))/(16*b*(23*m + 9*m^2 + m^3 + 15))","B"
341,1,62,50,0.878610,"\text{Not used}","int(cos(a + b*x)^3*(c*sin(a + b*x))^m,x)","\frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^m\,\left(9\,\sin\left(a+b\,x\right)+\sin\left(3\,a+3\,b\,x\right)+m\,\sin\left(a+b\,x\right)+m\,\sin\left(3\,a+3\,b\,x\right)\right)}{4\,b\,\left(m^2+4\,m+3\right)}","Not used",1,"((c*sin(a + b*x))^m*(9*sin(a + b*x) + sin(3*a + 3*b*x) + m*sin(a + b*x) + m*sin(3*a + 3*b*x)))/(4*b*(4*m + m^2 + 3))","B"
342,1,25,24,0.605454,"\text{Not used}","int(cos(a + b*x)*(c*sin(a + b*x))^m,x)","\frac{\sin\left(a+b\,x\right)\,{\left(c\,\sin\left(a+b\,x\right)\right)}^m}{b\,\left(m+1\right)}","Not used",1,"(sin(a + b*x)*(c*sin(a + b*x))^m)/(b*(m + 1))","B"
343,0,-1,48,0.000000,"\text{Not used}","int((c*sin(a + b*x))^m/cos(a + b*x),x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^m}{\cos\left(a+b\,x\right)} \,d x","Not used",1,"int((c*sin(a + b*x))^m/cos(a + b*x), x)","F"
344,0,-1,48,0.000000,"\text{Not used}","int((c*sin(a + b*x))^m/cos(a + b*x)^3,x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^m}{{\cos\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((c*sin(a + b*x))^m/cos(a + b*x)^3, x)","F"
345,0,-1,68,0.000000,"\text{Not used}","int(cos(a + b*x)^4*(c*sin(a + b*x))^m,x)","\int {\cos\left(a+b\,x\right)}^4\,{\left(c\,\sin\left(a+b\,x\right)\right)}^m \,d x","Not used",1,"int(cos(a + b*x)^4*(c*sin(a + b*x))^m, x)","F"
346,0,-1,68,0.000000,"\text{Not used}","int(cos(a + b*x)^2*(c*sin(a + b*x))^m,x)","\int {\cos\left(a+b\,x\right)}^2\,{\left(c\,\sin\left(a+b\,x\right)\right)}^m \,d x","Not used",1,"int(cos(a + b*x)^2*(c*sin(a + b*x))^m, x)","F"
347,0,-1,68,0.000000,"\text{Not used}","int((c*sin(a + b*x))^m,x)","\int {\left(c\,\sin\left(a+b\,x\right)\right)}^m \,d x","Not used",1,"int((c*sin(a + b*x))^m, x)","F"
348,0,-1,68,0.000000,"\text{Not used}","int((c*sin(a + b*x))^m/cos(a + b*x)^2,x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^m}{{\cos\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((c*sin(a + b*x))^m/cos(a + b*x)^2, x)","F"
349,0,-1,68,0.000000,"\text{Not used}","int((c*sin(a + b*x))^m/cos(a + b*x)^4,x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^m}{{\cos\left(a+b\,x\right)}^4} \,d x","Not used",1,"int((c*sin(a + b*x))^m/cos(a + b*x)^4, x)","F"
350,0,-1,75,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(3/2)*(c*sin(a + b*x))^m,x)","\int {\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}\,{\left(c\,\sin\left(a+b\,x\right)\right)}^m \,d x","Not used",1,"int((d*cos(a + b*x))^(3/2)*(c*sin(a + b*x))^m, x)","F"
351,0,-1,75,0.000000,"\text{Not used}","int((d*cos(a + b*x))^(1/2)*(c*sin(a + b*x))^m,x)","\int \sqrt{d\,\cos\left(a+b\,x\right)}\,{\left(c\,\sin\left(a+b\,x\right)\right)}^m \,d x","Not used",1,"int((d*cos(a + b*x))^(1/2)*(c*sin(a + b*x))^m, x)","F"
352,0,-1,75,0.000000,"\text{Not used}","int((c*sin(a + b*x))^m/(d*cos(a + b*x))^(1/2),x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^m}{\sqrt{d\,\cos\left(a+b\,x\right)}} \,d x","Not used",1,"int((c*sin(a + b*x))^m/(d*cos(a + b*x))^(1/2), x)","F"
353,0,-1,77,0.000000,"\text{Not used}","int((c*sin(a + b*x))^m/(d*cos(a + b*x))^(3/2),x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^m}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((c*sin(a + b*x))^m/(d*cos(a + b*x))^(3/2), x)","F"
354,0,-1,77,0.000000,"\text{Not used}","int((c*sin(a + b*x))^m/(d*cos(a + b*x))^(5/2),x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^m}{{\left(d\,\cos\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((c*sin(a + b*x))^m/(d*cos(a + b*x))^(5/2), x)","F"
355,1,132,76,1.544464,"\text{Not used}","int(sin(a + b*x)^5*(d*cos(a + b*x))^n,x)","-\frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^n\,\left(150\,\cos\left(a+b\,x\right)-25\,\cos\left(3\,a+3\,b\,x\right)+3\,\cos\left(5\,a+5\,b\,x\right)+24\,n\,\cos\left(a+b\,x\right)-28\,n\,\cos\left(3\,a+3\,b\,x\right)+4\,n\,\cos\left(5\,a+5\,b\,x\right)+2\,n^2\,\cos\left(a+b\,x\right)-3\,n^2\,\cos\left(3\,a+3\,b\,x\right)+n^2\,\cos\left(5\,a+5\,b\,x\right)\right)}{16\,b\,\left(n^3+9\,n^2+23\,n+15\right)}","Not used",1,"-((d*cos(a + b*x))^n*(150*cos(a + b*x) - 25*cos(3*a + 3*b*x) + 3*cos(5*a + 5*b*x) + 24*n*cos(a + b*x) - 28*n*cos(3*a + 3*b*x) + 4*n*cos(5*a + 5*b*x) + 2*n^2*cos(a + b*x) - 3*n^2*cos(3*a + 3*b*x) + n^2*cos(5*a + 5*b*x)))/(16*b*(23*n + 9*n^2 + n^3 + 15))","B"
356,1,65,50,0.911870,"\text{Not used}","int(sin(a + b*x)^3*(d*cos(a + b*x))^n,x)","-\frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^n\,\left(9\,\cos\left(a+b\,x\right)-\cos\left(3\,a+3\,b\,x\right)+n\,\cos\left(a+b\,x\right)-n\,\cos\left(3\,a+3\,b\,x\right)\right)}{4\,b\,\left(n^2+4\,n+3\right)}","Not used",1,"-((d*cos(a + b*x))^n*(9*cos(a + b*x) - cos(3*a + 3*b*x) + n*cos(a + b*x) - n*cos(3*a + 3*b*x)))/(4*b*(4*n + n^2 + 3))","B"
357,1,26,25,0.175264,"\text{Not used}","int(sin(a + b*x)*(d*cos(a + b*x))^n,x)","-\frac{\cos\left(a+b\,x\right)\,{\left(d\,\cos\left(a+b\,x\right)\right)}^n}{b\,\left(n+1\right)}","Not used",1,"-(cos(a + b*x)*(d*cos(a + b*x))^n)/(b*(n + 1))","B"
358,0,-1,49,0.000000,"\text{Not used}","int((d*cos(a + b*x))^n/sin(a + b*x),x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^n}{\sin\left(a+b\,x\right)} \,d x","Not used",1,"int((d*cos(a + b*x))^n/sin(a + b*x), x)","F"
359,0,-1,49,0.000000,"\text{Not used}","int((d*cos(a + b*x))^n/sin(a + b*x)^3,x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^n}{{\sin\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((d*cos(a + b*x))^n/sin(a + b*x)^3, x)","F"
360,0,-1,49,0.000000,"\text{Not used}","int((d*cos(a + b*x))^n/sin(a + b*x)^5,x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^n}{{\sin\left(a+b\,x\right)}^5} \,d x","Not used",1,"int((d*cos(a + b*x))^n/sin(a + b*x)^5, x)","F"
361,0,-1,69,0.000000,"\text{Not used}","int(sin(a + b*x)^4*(d*cos(a + b*x))^n,x)","\int {\sin\left(a+b\,x\right)}^4\,{\left(d\,\cos\left(a+b\,x\right)\right)}^n \,d x","Not used",1,"int(sin(a + b*x)^4*(d*cos(a + b*x))^n, x)","F"
362,0,-1,69,0.000000,"\text{Not used}","int(sin(a + b*x)^2*(d*cos(a + b*x))^n,x)","\int {\sin\left(a+b\,x\right)}^2\,{\left(d\,\cos\left(a+b\,x\right)\right)}^n \,d x","Not used",1,"int(sin(a + b*x)^2*(d*cos(a + b*x))^n, x)","F"
363,0,-1,69,0.000000,"\text{Not used}","int((d*cos(a + b*x))^n,x)","\int {\left(d\,\cos\left(a+b\,x\right)\right)}^n \,d x","Not used",1,"int((d*cos(a + b*x))^n, x)","F"
364,0,-1,69,0.000000,"\text{Not used}","int((d*cos(a + b*x))^n/sin(a + b*x)^2,x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^n}{{\sin\left(a+b\,x\right)}^2} \,d x","Not used",1,"int((d*cos(a + b*x))^n/sin(a + b*x)^2, x)","F"
365,0,-1,69,0.000000,"\text{Not used}","int((d*cos(a + b*x))^n/sin(a + b*x)^4,x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^n}{{\sin\left(a+b\,x\right)}^4} \,d x","Not used",1,"int((d*cos(a + b*x))^n/sin(a + b*x)^4, x)","F"
366,0,-1,76,0.000000,"\text{Not used}","int((d*cos(a + b*x))^n*(c*sin(a + b*x))^(5/2),x)","\int {\left(d\,\cos\left(a+b\,x\right)\right)}^n\,{\left(c\,\sin\left(a+b\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((d*cos(a + b*x))^n*(c*sin(a + b*x))^(5/2), x)","F"
367,0,-1,76,0.000000,"\text{Not used}","int((d*cos(a + b*x))^n*(c*sin(a + b*x))^(3/2),x)","\int {\left(d\,\cos\left(a+b\,x\right)\right)}^n\,{\left(c\,\sin\left(a+b\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((d*cos(a + b*x))^n*(c*sin(a + b*x))^(3/2), x)","F"
368,0,-1,76,0.000000,"\text{Not used}","int((d*cos(a + b*x))^n*(c*sin(a + b*x))^(1/2),x)","\int {\left(d\,\cos\left(a+b\,x\right)\right)}^n\,\sqrt{c\,\sin\left(a+b\,x\right)} \,d x","Not used",1,"int((d*cos(a + b*x))^n*(c*sin(a + b*x))^(1/2), x)","F"
369,0,-1,76,0.000000,"\text{Not used}","int((d*cos(a + b*x))^n/(c*sin(a + b*x))^(1/2),x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^n}{\sqrt{c\,\sin\left(a+b\,x\right)}} \,d x","Not used",1,"int((d*cos(a + b*x))^n/(c*sin(a + b*x))^(1/2), x)","F"
370,0,-1,78,0.000000,"\text{Not used}","int((d*cos(a + b*x))^n/(c*sin(a + b*x))^(3/2),x)","\int \frac{{\left(d\,\cos\left(a+b\,x\right)\right)}^n}{{\left(c\,\sin\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((d*cos(a + b*x))^n/(c*sin(a + b*x))^(3/2), x)","F"
371,0,-1,85,0.000000,"\text{Not used}","int(sin(e + f*x)^7*(b/cos(e + f*x))^(1/2),x)","\int {\sin\left(e+f\,x\right)}^7\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int(sin(e + f*x)^7*(b/cos(e + f*x))^(1/2), x)","F"
372,0,-1,63,0.000000,"\text{Not used}","int(sin(e + f*x)^5*(b/cos(e + f*x))^(1/2),x)","\int {\sin\left(e+f\,x\right)}^5\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int(sin(e + f*x)^5*(b/cos(e + f*x))^(1/2), x)","F"
373,0,-1,41,0.000000,"\text{Not used}","int(sin(e + f*x)^3*(b/cos(e + f*x))^(1/2),x)","\int {\sin\left(e+f\,x\right)}^3\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int(sin(e + f*x)^3*(b/cos(e + f*x))^(1/2), x)","F"
374,1,23,18,0.204283,"\text{Not used}","int(sin(e + f*x)*(b/cos(e + f*x))^(1/2),x)","-\frac{2\,\cos\left(e+f\,x\right)\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{f}","Not used",1,"-(2*cos(e + f*x)*(b/cos(e + f*x))^(1/2))/f","B"
375,0,-1,58,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(1/2)/sin(e + f*x),x)","\int \frac{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{\sin\left(e+f\,x\right)} \,d x","Not used",1,"int((b/cos(e + f*x))^(1/2)/sin(e + f*x), x)","F"
376,0,-1,93,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(1/2)/sin(e + f*x)^3,x)","\int \frac{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{{\sin\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((b/cos(e + f*x))^(1/2)/sin(e + f*x)^3, x)","F"
377,0,-1,123,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(1/2)/sin(e + f*x)^5,x)","\int \frac{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{{\sin\left(e+f\,x\right)}^5} \,d x","Not used",1,"int((b/cos(e + f*x))^(1/2)/sin(e + f*x)^5, x)","F"
378,0,-1,123,0.000000,"\text{Not used}","int(sin(e + f*x)^6*(b/cos(e + f*x))^(1/2),x)","\int {\sin\left(e+f\,x\right)}^6\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int(sin(e + f*x)^6*(b/cos(e + f*x))^(1/2), x)","F"
379,0,-1,95,0.000000,"\text{Not used}","int(sin(e + f*x)^4*(b/cos(e + f*x))^(1/2),x)","\int {\sin\left(e+f\,x\right)}^4\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int(sin(e + f*x)^4*(b/cos(e + f*x))^(1/2), x)","F"
380,0,-1,67,0.000000,"\text{Not used}","int(sin(e + f*x)^2*(b/cos(e + f*x))^(1/2),x)","\int {\sin\left(e+f\,x\right)}^2\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int(sin(e + f*x)^2*(b/cos(e + f*x))^(1/2), x)","F"
381,1,35,38,0.562573,"\text{Not used}","int((b/cos(e + f*x))^(1/2),x)","\frac{2\,\sqrt{\cos\left(e+f\,x\right)}\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}\,\mathrm{F}\left(\frac{e}{2}+\frac{f\,x}{2}\middle|2\right)}{f}","Not used",1,"(2*cos(e + f*x)^(1/2)*(b/cos(e + f*x))^(1/2)*ellipticF(e/2 + (f*x)/2, 2))/f","B"
382,0,-1,62,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(1/2)/sin(e + f*x)^2,x)","\int \frac{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{{\sin\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((b/cos(e + f*x))^(1/2)/sin(e + f*x)^2, x)","F"
383,0,-1,95,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(1/2)/sin(e + f*x)^4,x)","\int \frac{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{{\sin\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((b/cos(e + f*x))^(1/2)/sin(e + f*x)^4, x)","F"
384,0,-1,123,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(1/2)/sin(e + f*x)^6,x)","\int \frac{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{{\sin\left(e+f\,x\right)}^6} \,d x","Not used",1,"int((b/cos(e + f*x))^(1/2)/sin(e + f*x)^6, x)","F"
385,0,-1,83,0.000000,"\text{Not used}","int(sin(e + f*x)^7*(b/cos(e + f*x))^(3/2),x)","\int {\sin\left(e+f\,x\right)}^7\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)^7*(b/cos(e + f*x))^(3/2), x)","F"
386,0,-1,63,0.000000,"\text{Not used}","int(sin(e + f*x)^5*(b/cos(e + f*x))^(3/2),x)","\int {\sin\left(e+f\,x\right)}^5\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)^5*(b/cos(e + f*x))^(3/2), x)","F"
387,0,-1,41,0.000000,"\text{Not used}","int(sin(e + f*x)^3*(b/cos(e + f*x))^(3/2),x)","\int {\sin\left(e+f\,x\right)}^3\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)^3*(b/cos(e + f*x))^(3/2), x)","F"
388,1,18,18,0.478296,"\text{Not used}","int(sin(e + f*x)*(b/cos(e + f*x))^(3/2),x)","\frac{2\,b\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{f}","Not used",1,"(2*b*(b/cos(e + f*x))^(1/2))/f","B"
389,0,-1,77,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(3/2)/sin(e + f*x),x)","\int \frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{\sin\left(e+f\,x\right)} \,d x","Not used",1,"int((b/cos(e + f*x))^(3/2)/sin(e + f*x), x)","F"
390,0,-1,113,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(3/2)/sin(e + f*x)^3,x)","\int \frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\sin\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((b/cos(e + f*x))^(3/2)/sin(e + f*x)^3, x)","F"
391,0,-1,128,0.000000,"\text{Not used}","int(sin(e + f*x)^6*(b/cos(e + f*x))^(3/2),x)","\int {\sin\left(e+f\,x\right)}^6\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)^6*(b/cos(e + f*x))^(3/2), x)","F"
392,0,-1,98,0.000000,"\text{Not used}","int(sin(e + f*x)^4*(b/cos(e + f*x))^(3/2),x)","\int {\sin\left(e+f\,x\right)}^4\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)^4*(b/cos(e + f*x))^(3/2), x)","F"
393,0,-1,66,0.000000,"\text{Not used}","int(sin(e + f*x)^2*(b/cos(e + f*x))^(3/2),x)","\int {\sin\left(e+f\,x\right)}^2\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)^2*(b/cos(e + f*x))^(3/2), x)","F"
394,0,-1,66,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(3/2),x)","\int {\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int((b/cos(e + f*x))^(3/2), x)","F"
395,0,-1,90,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(3/2)/sin(e + f*x)^2,x)","\int \frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\sin\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((b/cos(e + f*x))^(3/2)/sin(e + f*x)^2, x)","F"
396,0,-1,124,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(3/2)/sin(e + f*x)^4,x)","\int \frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\sin\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((b/cos(e + f*x))^(3/2)/sin(e + f*x)^4, x)","F"
397,0,-1,85,0.000000,"\text{Not used}","int(sin(e + f*x)^7*(b/cos(e + f*x))^(5/2),x)","\int {\sin\left(e+f\,x\right)}^7\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2} \,d x","Not used",1,"int(sin(e + f*x)^7*(b/cos(e + f*x))^(5/2), x)","F"
398,0,-1,63,0.000000,"\text{Not used}","int(sin(e + f*x)^5*(b/cos(e + f*x))^(5/2),x)","\int {\sin\left(e+f\,x\right)}^5\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2} \,d x","Not used",1,"int(sin(e + f*x)^5*(b/cos(e + f*x))^(5/2), x)","F"
399,1,50,41,0.908457,"\text{Not used}","int(sin(e + f*x)^3*(b/cos(e + f*x))^(5/2),x)","\frac{b^2\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}\,\left(\frac{13\,\cos\left(e+f\,x\right)}{3}+\cos\left(3\,e+3\,f\,x\right)\right)}{f\,\left(\cos\left(2\,e+2\,f\,x\right)+1\right)}","Not used",1,"(b^2*(b/cos(e + f*x))^(1/2)*((13*cos(e + f*x))/3 + cos(3*e + 3*f*x)))/(f*(cos(2*e + 2*f*x) + 1))","B"
400,1,39,20,0.623813,"\text{Not used}","int(sin(e + f*x)*(b/cos(e + f*x))^(5/2),x)","\frac{4\,b^2\,\cos\left(e+f\,x\right)\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{3\,f\,\left(\cos\left(2\,e+2\,f\,x\right)+1\right)}","Not used",1,"(4*b^2*cos(e + f*x)*(b/cos(e + f*x))^(1/2))/(3*f*(cos(2*e + 2*f*x) + 1))","B"
401,0,-1,78,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(5/2)/sin(e + f*x),x)","\int \frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{\sin\left(e+f\,x\right)} \,d x","Not used",1,"int((b/cos(e + f*x))^(5/2)/sin(e + f*x), x)","F"
402,0,-1,113,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(5/2)/sin(e + f*x)^3,x)","\int \frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\sin\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((b/cos(e + f*x))^(5/2)/sin(e + f*x)^3, x)","F"
403,0,-1,143,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(5/2)/sin(e + f*x)^5,x)","\int \frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\sin\left(e+f\,x\right)}^5} \,d x","Not used",1,"int((b/cos(e + f*x))^(5/2)/sin(e + f*x)^5, x)","F"
404,0,-1,130,0.000000,"\text{Not used}","int(sin(e + f*x)^6*(b/cos(e + f*x))^(5/2),x)","\int {\sin\left(e+f\,x\right)}^6\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2} \,d x","Not used",1,"int(sin(e + f*x)^6*(b/cos(e + f*x))^(5/2), x)","F"
405,0,-1,100,0.000000,"\text{Not used}","int(sin(e + f*x)^4*(b/cos(e + f*x))^(5/2),x)","\int {\sin\left(e+f\,x\right)}^4\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2} \,d x","Not used",1,"int(sin(e + f*x)^4*(b/cos(e + f*x))^(5/2), x)","F"
406,0,-1,70,0.000000,"\text{Not used}","int(sin(e + f*x)^2*(b/cos(e + f*x))^(5/2),x)","\int {\sin\left(e+f\,x\right)}^2\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2} \,d x","Not used",1,"int(sin(e + f*x)^2*(b/cos(e + f*x))^(5/2), x)","F"
407,0,-1,70,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(5/2),x)","\int {\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2} \,d x","Not used",1,"int((b/cos(e + f*x))^(5/2), x)","F"
408,0,-1,98,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(5/2)/sin(e + f*x)^2,x)","\int \frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\sin\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((b/cos(e + f*x))^(5/2)/sin(e + f*x)^2, x)","F"
409,0,-1,123,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(5/2)/sin(e + f*x)^4,x)","\int \frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\sin\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((b/cos(e + f*x))^(5/2)/sin(e + f*x)^4, x)","F"
410,0,-1,87,0.000000,"\text{Not used}","int(sin(e + f*x)^7/(b/cos(e + f*x))^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^7}{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(sin(e + f*x)^7/(b/cos(e + f*x))^(1/2), x)","F"
411,0,-1,65,0.000000,"\text{Not used}","int(sin(e + f*x)^5/(b/cos(e + f*x))^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^5}{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(sin(e + f*x)^5/(b/cos(e + f*x))^(1/2), x)","F"
412,0,-1,43,0.000000,"\text{Not used}","int(sin(e + f*x)^3/(b/cos(e + f*x))^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^3}{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(sin(e + f*x)^3/(b/cos(e + f*x))^(1/2), x)","F"
413,1,28,20,0.543825,"\text{Not used}","int(sin(e + f*x)/(b/cos(e + f*x))^(1/2),x)","-\frac{2\,{\cos\left(e+f\,x\right)}^2\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{3\,b\,f}","Not used",1,"-(2*cos(e + f*x)^2*(b/cos(e + f*x))^(1/2))/(3*b*f)","B"
414,0,-1,59,0.000000,"\text{Not used}","int(1/(sin(e + f*x)*(b/cos(e + f*x))^(1/2)),x)","\int \frac{1}{\sin\left(e+f\,x\right)\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(sin(e + f*x)*(b/cos(e + f*x))^(1/2)), x)","F"
415,0,-1,93,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^3*(b/cos(e + f*x))^(1/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^3\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(sin(e + f*x)^3*(b/cos(e + f*x))^(1/2)), x)","F"
416,0,-1,123,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^5*(b/cos(e + f*x))^(1/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^5\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(sin(e + f*x)^5*(b/cos(e + f*x))^(1/2)), x)","F"
417,0,-1,123,0.000000,"\text{Not used}","int(sin(e + f*x)^6/(b/cos(e + f*x))^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^6}{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(sin(e + f*x)^6/(b/cos(e + f*x))^(1/2), x)","F"
418,0,-1,95,0.000000,"\text{Not used}","int(sin(e + f*x)^4/(b/cos(e + f*x))^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^4}{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(sin(e + f*x)^4/(b/cos(e + f*x))^(1/2), x)","F"
419,0,-1,67,0.000000,"\text{Not used}","int(sin(e + f*x)^2/(b/cos(e + f*x))^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^2}{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(sin(e + f*x)^2/(b/cos(e + f*x))^(1/2), x)","F"
420,0,-1,38,0.000000,"\text{Not used}","int(1/(b/cos(e + f*x))^(1/2),x)","\int \frac{1}{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(b/cos(e + f*x))^(1/2), x)","F"
421,0,-1,63,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^2*(b/cos(e + f*x))^(1/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^2\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(sin(e + f*x)^2*(b/cos(e + f*x))^(1/2)), x)","F"
422,0,-1,95,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^4*(b/cos(e + f*x))^(1/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^4\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(sin(e + f*x)^4*(b/cos(e + f*x))^(1/2)), x)","F"
423,0,-1,123,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^6*(b/cos(e + f*x))^(1/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^6\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(sin(e + f*x)^6*(b/cos(e + f*x))^(1/2)), x)","F"
424,0,-1,87,0.000000,"\text{Not used}","int(sin(e + f*x)^7/(b/cos(e + f*x))^(3/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^7}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(sin(e + f*x)^7/(b/cos(e + f*x))^(3/2), x)","F"
425,0,-1,65,0.000000,"\text{Not used}","int(sin(e + f*x)^5/(b/cos(e + f*x))^(3/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^5}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(sin(e + f*x)^5/(b/cos(e + f*x))^(3/2), x)","F"
426,0,-1,43,0.000000,"\text{Not used}","int(sin(e + f*x)^3/(b/cos(e + f*x))^(3/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^3}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(sin(e + f*x)^3/(b/cos(e + f*x))^(3/2), x)","F"
427,1,28,20,0.566662,"\text{Not used}","int(sin(e + f*x)/(b/cos(e + f*x))^(3/2),x)","-\frac{2\,{\cos\left(e+f\,x\right)}^3\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{5\,b^2\,f}","Not used",1,"-(2*cos(e + f*x)^3*(b/cos(e + f*x))^(1/2))/(5*b^2*f)","B"
428,0,-1,78,0.000000,"\text{Not used}","int(1/(sin(e + f*x)*(b/cos(e + f*x))^(3/2)),x)","\int \frac{1}{\sin\left(e+f\,x\right)\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)*(b/cos(e + f*x))^(3/2)), x)","F"
429,0,-1,93,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^3*(b/cos(e + f*x))^(3/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^3\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^3*(b/cos(e + f*x))^(3/2)), x)","F"
430,0,-1,123,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^5*(b/cos(e + f*x))^(3/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^5\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^5*(b/cos(e + f*x))^(3/2)), x)","F"
431,0,-1,126,0.000000,"\text{Not used}","int(sin(e + f*x)^4/(b/cos(e + f*x))^(3/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^4}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(sin(e + f*x)^4/(b/cos(e + f*x))^(3/2), x)","F"
432,0,-1,98,0.000000,"\text{Not used}","int(sin(e + f*x)^2/(b/cos(e + f*x))^(3/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^2}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(sin(e + f*x)^2/(b/cos(e + f*x))^(3/2), x)","F"
433,0,-1,72,0.000000,"\text{Not used}","int(1/(b/cos(e + f*x))^(3/2),x)","\int \frac{1}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(b/cos(e + f*x))^(3/2), x)","F"
434,0,-1,68,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^2*(b/cos(e + f*x))^(3/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^2\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^2*(b/cos(e + f*x))^(3/2)), x)","F"
435,0,-1,102,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^4*(b/cos(e + f*x))^(3/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^4\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^4*(b/cos(e + f*x))^(3/2)), x)","F"
436,0,-1,132,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^6*(b/cos(e + f*x))^(3/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^6\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^6*(b/cos(e + f*x))^(3/2)), x)","F"
437,0,-1,87,0.000000,"\text{Not used}","int(sin(e + f*x)^7/(b/cos(e + f*x))^(5/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^7}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(sin(e + f*x)^7/(b/cos(e + f*x))^(5/2), x)","F"
438,0,-1,65,0.000000,"\text{Not used}","int(sin(e + f*x)^5/(b/cos(e + f*x))^(5/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^5}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(sin(e + f*x)^5/(b/cos(e + f*x))^(5/2), x)","F"
439,0,-1,43,0.000000,"\text{Not used}","int(sin(e + f*x)^3/(b/cos(e + f*x))^(5/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^3}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(sin(e + f*x)^3/(b/cos(e + f*x))^(5/2), x)","F"
440,1,28,20,0.568785,"\text{Not used}","int(sin(e + f*x)/(b/cos(e + f*x))^(5/2),x)","-\frac{2\,{\cos\left(e+f\,x\right)}^4\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{7\,b^3\,f}","Not used",1,"-(2*cos(e + f*x)^4*(b/cos(e + f*x))^(1/2))/(7*b^3*f)","B"
441,0,-1,81,0.000000,"\text{Not used}","int(1/(sin(e + f*x)*(b/cos(e + f*x))^(5/2)),x)","\int \frac{1}{\sin\left(e+f\,x\right)\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)*(b/cos(e + f*x))^(5/2)), x)","F"
442,0,-1,93,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^3*(b/cos(e + f*x))^(5/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^3\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^3*(b/cos(e + f*x))^(5/2)), x)","F"
443,0,-1,123,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^5*(b/cos(e + f*x))^(5/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^5\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^5*(b/cos(e + f*x))^(5/2)), x)","F"
444,0,-1,126,0.000000,"\text{Not used}","int(sin(e + f*x)^4/(b/cos(e + f*x))^(5/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^4}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(sin(e + f*x)^4/(b/cos(e + f*x))^(5/2), x)","F"
445,0,-1,98,0.000000,"\text{Not used}","int(sin(e + f*x)^2/(b/cos(e + f*x))^(5/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^2}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(sin(e + f*x)^2/(b/cos(e + f*x))^(5/2), x)","F"
446,0,-1,72,0.000000,"\text{Not used}","int(1/(b/cos(e + f*x))^(5/2),x)","\int \frac{1}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/(b/cos(e + f*x))^(5/2), x)","F"
447,0,-1,68,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^2*(b/cos(e + f*x))^(5/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^2\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^2*(b/cos(e + f*x))^(5/2)), x)","F"
448,0,-1,102,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^4*(b/cos(e + f*x))^(5/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^4\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^4*(b/cos(e + f*x))^(5/2)), x)","F"
449,0,-1,132,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^6*(b/cos(e + f*x))^(5/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^6\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^6*(b/cos(e + f*x))^(5/2)), x)","F"
450,0,-1,449,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(9/2)*(b/cos(e + f*x))^(1/2),x)","\int {\left(a\,\sin\left(e+f\,x\right)\right)}^{9/2}\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((a*sin(e + f*x))^(9/2)*(b/cos(e + f*x))^(1/2), x)","F"
451,0,-1,414,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(5/2)*(b/cos(e + f*x))^(1/2),x)","\int {\left(a\,\sin\left(e+f\,x\right)\right)}^{5/2}\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((a*sin(e + f*x))^(5/2)*(b/cos(e + f*x))^(1/2), x)","F"
452,0,-1,376,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(1/2)*(b/cos(e + f*x))^(1/2),x)","\int \sqrt{a\,\sin\left(e+f\,x\right)}\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((a*sin(e + f*x))^(1/2)*(b/cos(e + f*x))^(1/2), x)","F"
453,1,36,33,0.873025,"\text{Not used}","int((b/cos(e + f*x))^(1/2)/(a*sin(e + f*x))^(3/2),x)","-\frac{2\,\cos\left(e+f\,x\right)\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{a\,f\,\sqrt{a\,\sin\left(e+f\,x\right)}}","Not used",1,"-(2*cos(e + f*x)*(b/cos(e + f*x))^(1/2))/(a*f*(a*sin(e + f*x))^(1/2))","B"
454,1,83,71,1.805486,"\text{Not used}","int((b/cos(e + f*x))^(1/2)/(a*sin(e + f*x))^(7/2),x)","-\frac{4\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}\,\left(3\,\cos\left(e+f\,x\right)-4\,\cos\left(3\,e+3\,f\,x\right)+\cos\left(5\,e+5\,f\,x\right)\right)}{5\,a^3\,f\,\sqrt{a\,\sin\left(e+f\,x\right)}\,\left(\cos\left(4\,e+4\,f\,x\right)-4\,\cos\left(2\,e+2\,f\,x\right)+3\right)}","Not used",1,"-(4*(b/cos(e + f*x))^(1/2)*(3*cos(e + f*x) - 4*cos(3*e + 3*f*x) + cos(5*e + 5*f*x)))/(5*a^3*f*(a*sin(e + f*x))^(1/2)*(cos(4*e + 4*f*x) - 4*cos(2*e + 2*f*x) + 3))","B"
455,1,169,106,5.694974,"\text{Not used}","int((b/cos(e + f*x))^(1/2)/(a*sin(e + f*x))^(11/2),x)","-\frac{{\mathrm{e}}^{-e\,5{}\mathrm{i}-f\,x\,5{}\mathrm{i}}\,\sqrt{\frac{b}{\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}}}\,\left(\frac{352\,\cos\left(e+f\,x\right)\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}}{45\,a^5\,f}-\frac{256\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\cos\left(3\,e+3\,f\,x\right)}{45\,a^5\,f}+\frac{64\,{\mathrm{e}}^{e\,5{}\mathrm{i}+f\,x\,5{}\mathrm{i}}\,\cos\left(5\,e+5\,f\,x\right)}{45\,a^5\,f}\right)}{16\,{\sin\left(e+f\,x\right)}^4\,\sqrt{a\,\left(\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}}","Not used",1,"-(exp(- e*5i - f*x*5i)*(b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((352*cos(e + f*x)*exp(e*5i + f*x*5i))/(45*a^5*f) - (256*exp(e*5i + f*x*5i)*cos(3*e + 3*f*x))/(45*a^5*f) + (64*exp(e*5i + f*x*5i)*cos(5*e + 5*f*x))/(45*a^5*f)))/(16*sin(e + f*x)^4*(a*((exp(- e*1i - f*x*1i)*1i)/2 - (exp(e*1i + f*x*1i)*1i)/2))^(1/2))","B"
456,0,-1,128,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(7/2)*(b/cos(e + f*x))^(1/2),x)","\int {\left(a\,\sin\left(e+f\,x\right)\right)}^{7/2}\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((a*sin(e + f*x))^(7/2)*(b/cos(e + f*x))^(1/2), x)","F"
457,0,-1,91,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(3/2)*(b/cos(e + f*x))^(1/2),x)","\int {\left(a\,\sin\left(e+f\,x\right)\right)}^{3/2}\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((a*sin(e + f*x))^(3/2)*(b/cos(e + f*x))^(1/2), x)","F"
458,0,-1,53,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(1/2)/(a*sin(e + f*x))^(1/2),x)","\int \frac{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{\sqrt{a\,\sin\left(e+f\,x\right)}} \,d x","Not used",1,"int((b/cos(e + f*x))^(1/2)/(a*sin(e + f*x))^(1/2), x)","F"
459,0,-1,95,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(1/2)/(a*sin(e + f*x))^(5/2),x)","\int \frac{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((b/cos(e + f*x))^(1/2)/(a*sin(e + f*x))^(5/2), x)","F"
460,0,-1,130,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(1/2)/(a*sin(e + f*x))^(9/2),x)","\int \frac{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{9/2}} \,d x","Not used",1,"int((b/cos(e + f*x))^(1/2)/(a*sin(e + f*x))^(9/2), x)","F"
461,0,-1,115,0.000000,"\text{Not used}","int(sin(e + f*x)^(9/2)/(b/cos(e + f*x))^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^{9/2}}{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(sin(e + f*x)^(9/2)/(b/cos(e + f*x))^(1/2), x)","F"
462,0,-1,85,0.000000,"\text{Not used}","int(sin(e + f*x)^(5/2)/(b/cos(e + f*x))^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^{5/2}}{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(sin(e + f*x)^(5/2)/(b/cos(e + f*x))^(1/2), x)","F"
463,0,-1,51,0.000000,"\text{Not used}","int(sin(e + f*x)^(1/2)/(b/cos(e + f*x))^(1/2),x)","\int \frac{\sqrt{\sin\left(e+f\,x\right)}}{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(sin(e + f*x)^(1/2)/(b/cos(e + f*x))^(1/2), x)","F"
464,0,-1,81,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^(3/2)*(b/cos(e + f*x))^(1/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^{3/2}\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(sin(e + f*x)^(3/2)*(b/cos(e + f*x))^(1/2)), x)","F"
465,0,-1,115,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^(7/2)*(b/cos(e + f*x))^(1/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^{7/2}\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(sin(e + f*x)^(7/2)*(b/cos(e + f*x))^(1/2)), x)","F"
466,0,-1,363,0.000000,"\text{Not used}","int(sin(e + f*x)^(3/2)/(b/cos(e + f*x))^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^{3/2}}{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(sin(e + f*x)^(3/2)/(b/cos(e + f*x))^(1/2), x)","F"
467,0,-1,328,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^(1/2)*(b/cos(e + f*x))^(1/2)),x)","\int \frac{1}{\sqrt{\sin\left(e+f\,x\right)}\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(sin(e + f*x)^(1/2)*(b/cos(e + f*x))^(1/2)), x)","F"
468,1,57,30,1.250045,"\text{Not used}","int(1/(sin(e + f*x)^(5/2)*(b/cos(e + f*x))^(1/2)),x)","\frac{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}\,\left(\sin\left(e+f\,x\right)+\sin\left(3\,e+3\,f\,x\right)\right)}{3\,b\,f\,\sqrt{\sin\left(e+f\,x\right)}\,\left(\cos\left(2\,e+2\,f\,x\right)-1\right)}","Not used",1,"((b/cos(e + f*x))^(1/2)*(sin(e + f*x) + sin(3*e + 3*f*x)))/(3*b*f*sin(e + f*x)^(1/2)*(cos(2*e + 2*f*x) - 1))","B"
469,1,103,61,2.662342,"\text{Not used}","int(1/(sin(e + f*x)^(9/2)*(b/cos(e + f*x))^(1/2)),x)","\frac{4\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}\,\left(11\,\sin\left(e+f\,x\right)+4\,\sin\left(3\,e+3\,f\,x\right)-6\,\sin\left(5\,e+5\,f\,x\right)+\sin\left(7\,e+7\,f\,x\right)\right)}{21\,b\,f\,\sqrt{\sin\left(e+f\,x\right)}\,\left(15\,\cos\left(2\,e+2\,f\,x\right)-6\,\cos\left(4\,e+4\,f\,x\right)+\cos\left(6\,e+6\,f\,x\right)-10\right)}","Not used",1,"(4*(b/cos(e + f*x))^(1/2)*(11*sin(e + f*x) + 4*sin(3*e + 3*f*x) - 6*sin(5*e + 5*f*x) + sin(7*e + 7*f*x)))/(21*b*f*sin(e + f*x)^(1/2)*(15*cos(2*e + 2*f*x) - 6*cos(4*e + 4*f*x) + cos(6*e + 6*f*x) - 10))","B"
470,1,163,91,6.239482,"\text{Not used}","int(1/(sin(e + f*x)^(13/2)*(b/cos(e + f*x))^(1/2)),x)","\frac{{\mathrm{e}}^{-e\,6{}\mathrm{i}-f\,x\,6{}\mathrm{i}}\,\sqrt{\frac{b}{\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}}}\,\left(\frac{{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,992{}\mathrm{i}}{231\,b\,f}+\frac{{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\cos\left(2\,e+2\,f\,x\right)\,608{}\mathrm{i}}{231\,b\,f}-\frac{{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\cos\left(4\,e+4\,f\,x\right)\,320{}\mathrm{i}}{231\,b\,f}+\frac{{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\cos\left(6\,e+6\,f\,x\right)\,64{}\mathrm{i}}{231\,b\,f}\right)\,1{}\mathrm{i}}{32\,{\sin\left(e+f\,x\right)}^{11/2}}","Not used",1,"(exp(- e*6i - f*x*6i)*(b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((exp(e*6i + f*x*6i)*992i)/(231*b*f) + (exp(e*6i + f*x*6i)*cos(2*e + 2*f*x)*608i)/(231*b*f) - (exp(e*6i + f*x*6i)*cos(4*e + 4*f*x)*320i)/(231*b*f) + (exp(e*6i + f*x*6i)*cos(6*e + 6*f*x)*64i)/(231*b*f))*1i)/(32*sin(e + f*x)^(11/2))","B"
471,1,192,121,6.414223,"\text{Not used}","int(1/(sin(e + f*x)^(17/2)*(b/cos(e + f*x))^(1/2)),x)","\frac{{\mathrm{e}}^{-e\,8{}\mathrm{i}-f\,x\,8{}\mathrm{i}}\,\sqrt{\frac{b}{\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}}}\,\left(\frac{{\mathrm{e}}^{e\,8{}\mathrm{i}+f\,x\,8{}\mathrm{i}}\,1024{}\mathrm{i}}{77\,b\,f}+\frac{{\mathrm{e}}^{e\,8{}\mathrm{i}+f\,x\,8{}\mathrm{i}}\,\cos\left(2\,e+2\,f\,x\right)\,384{}\mathrm{i}}{55\,b\,f}-\frac{{\mathrm{e}}^{e\,8{}\mathrm{i}+f\,x\,8{}\mathrm{i}}\,\cos\left(4\,e+4\,f\,x\right)\,5248{}\mathrm{i}}{1155\,b\,f}+\frac{{\mathrm{e}}^{e\,8{}\mathrm{i}+f\,x\,8{}\mathrm{i}}\,\cos\left(6\,e+6\,f\,x\right)\,256{}\mathrm{i}}{165\,b\,f}-\frac{{\mathrm{e}}^{e\,8{}\mathrm{i}+f\,x\,8{}\mathrm{i}}\,\cos\left(8\,e+8\,f\,x\right)\,256{}\mathrm{i}}{1155\,b\,f}\right)\,1{}\mathrm{i}}{128\,{\sin\left(e+f\,x\right)}^{15/2}}","Not used",1,"(exp(- e*8i - f*x*8i)*(b/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(1/2)*((exp(e*8i + f*x*8i)*1024i)/(77*b*f) + (exp(e*8i + f*x*8i)*cos(2*e + 2*f*x)*384i)/(55*b*f) - (exp(e*8i + f*x*8i)*cos(4*e + 4*f*x)*5248i)/(1155*b*f) + (exp(e*8i + f*x*8i)*cos(6*e + 6*f*x)*256i)/(165*b*f) - (exp(e*8i + f*x*8i)*cos(8*e + 8*f*x)*256i)/(1155*b*f))*1i)/(128*sin(e + f*x)^(15/2))","B"
472,0,-1,490,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(9/2)/(b/cos(e + f*x))^(3/2),x)","\int \frac{{\left(a\,\sin\left(e+f\,x\right)\right)}^{9/2}}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a*sin(e + f*x))^(9/2)/(b/cos(e + f*x))^(3/2), x)","F"
473,0,-1,453,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(5/2)/(b/cos(e + f*x))^(3/2),x)","\int \frac{{\left(a\,\sin\left(e+f\,x\right)\right)}^{5/2}}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a*sin(e + f*x))^(5/2)/(b/cos(e + f*x))^(3/2), x)","F"
474,0,-1,418,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(1/2)/(b/cos(e + f*x))^(3/2),x)","\int \frac{\sqrt{a\,\sin\left(e+f\,x\right)}}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a*sin(e + f*x))^(1/2)/(b/cos(e + f*x))^(3/2), x)","F"
475,0,-1,411,0.000000,"\text{Not used}","int(1/((a*sin(e + f*x))^(3/2)*(b/cos(e + f*x))^(3/2)),x)","\int \frac{1}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{3/2}\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/((a*sin(e + f*x))^(3/2)*(b/cos(e + f*x))^(3/2)), x)","F"
476,1,84,35,1.862164,"\text{Not used}","int(1/((a*sin(e + f*x))^(7/2)*(b/cos(e + f*x))^(3/2)),x)","\frac{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}\,\left(\cos\left(3\,e+3\,f\,x\right)-2\,\cos\left(e+f\,x\right)+\cos\left(5\,e+5\,f\,x\right)\right)}{5\,a^3\,b^2\,f\,\sqrt{a\,\sin\left(e+f\,x\right)}\,\left(\cos\left(4\,e+4\,f\,x\right)-4\,\cos\left(2\,e+2\,f\,x\right)+3\right)}","Not used",1,"((b/cos(e + f*x))^(1/2)*(cos(3*e + 3*f*x) - 2*cos(e + f*x) + cos(5*e + 5*f*x)))/(5*a^3*b^2*f*(a*sin(e + f*x))^(1/2)*(cos(4*e + 4*f*x) - 4*cos(2*e + 2*f*x) + 3))","B"
477,0,-1,172,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(7/2)/(b/cos(e + f*x))^(3/2),x)","\int \frac{{\left(a\,\sin\left(e+f\,x\right)\right)}^{7/2}}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a*sin(e + f*x))^(7/2)/(b/cos(e + f*x))^(3/2), x)","F"
478,0,-1,135,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(3/2)/(b/cos(e + f*x))^(3/2),x)","\int \frac{{\left(a\,\sin\left(e+f\,x\right)\right)}^{3/2}}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a*sin(e + f*x))^(3/2)/(b/cos(e + f*x))^(3/2), x)","F"
479,0,-1,94,0.000000,"\text{Not used}","int(1/((a*sin(e + f*x))^(1/2)*(b/cos(e + f*x))^(3/2)),x)","\int \frac{1}{\sqrt{a\,\sin\left(e+f\,x\right)}\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/((a*sin(e + f*x))^(1/2)*(b/cos(e + f*x))^(3/2)), x)","F"
480,0,-1,100,0.000000,"\text{Not used}","int(1/((a*sin(e + f*x))^(5/2)*(b/cos(e + f*x))^(3/2)),x)","\int \frac{1}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{5/2}\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/((a*sin(e + f*x))^(5/2)*(b/cos(e + f*x))^(3/2)), x)","F"
481,0,-1,137,0.000000,"\text{Not used}","int(1/((a*sin(e + f*x))^(9/2)*(b/cos(e + f*x))^(3/2)),x)","\int \frac{1}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{9/2}\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/((a*sin(e + f*x))^(9/2)*(b/cos(e + f*x))^(3/2)), x)","F"
482,0,-1,174,0.000000,"\text{Not used}","int(1/((a*sin(e + f*x))^(13/2)*(b/cos(e + f*x))^(3/2)),x)","\int \frac{1}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{13/2}\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/((a*sin(e + f*x))^(13/2)*(b/cos(e + f*x))^(3/2)), x)","F"
483,0,-1,75,0.000000,"\text{Not used}","int((c*sin(a + b*x))^m*(d/cos(a + b*x))^(5/2),x)","\int {\left(c\,\sin\left(a+b\,x\right)\right)}^m\,{\left(\frac{d}{\cos\left(a+b\,x\right)}\right)}^{5/2} \,d x","Not used",1,"int((c*sin(a + b*x))^m*(d/cos(a + b*x))^(5/2), x)","F"
484,0,-1,75,0.000000,"\text{Not used}","int((c*sin(a + b*x))^m*(d/cos(a + b*x))^(3/2),x)","\int {\left(c\,\sin\left(a+b\,x\right)\right)}^m\,{\left(\frac{d}{\cos\left(a+b\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int((c*sin(a + b*x))^m*(d/cos(a + b*x))^(3/2), x)","F"
485,0,-1,77,0.000000,"\text{Not used}","int((c*sin(a + b*x))^m*(d/cos(a + b*x))^(1/2),x)","\int {\left(c\,\sin\left(a+b\,x\right)\right)}^m\,\sqrt{\frac{d}{\cos\left(a+b\,x\right)}} \,d x","Not used",1,"int((c*sin(a + b*x))^m*(d/cos(a + b*x))^(1/2), x)","F"
486,0,-1,77,0.000000,"\text{Not used}","int((c*sin(a + b*x))^m/(d/cos(a + b*x))^(1/2),x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^m}{\sqrt{\frac{d}{\cos\left(a+b\,x\right)}}} \,d x","Not used",1,"int((c*sin(a + b*x))^m/(d/cos(a + b*x))^(1/2), x)","F"
487,0,-1,77,0.000000,"\text{Not used}","int((c*sin(a + b*x))^m/(d/cos(a + b*x))^(3/2),x)","\int \frac{{\left(c\,\sin\left(a+b\,x\right)\right)}^m}{{\left(\frac{d}{\cos\left(a+b\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((c*sin(a + b*x))^m/(d/cos(a + b*x))^(3/2), x)","F"
488,0,-1,86,0.000000,"\text{Not used}","int(sin(e + f*x)^m*(1/cos(e + f*x))^n,x)","\int {\sin\left(e+f\,x\right)}^m\,{\left(\frac{1}{\cos\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int(sin(e + f*x)^m*(1/cos(e + f*x))^n, x)","F"
489,0,-1,89,0.000000,"\text{Not used}","int((a*sin(e + f*x))^m*(1/cos(e + f*x))^n,x)","\int {\left(a\,\sin\left(e+f\,x\right)\right)}^m\,{\left(\frac{1}{\cos\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int((a*sin(e + f*x))^m*(1/cos(e + f*x))^n, x)","F"
490,0,-1,89,0.000000,"\text{Not used}","int(sin(e + f*x)^m*(b/cos(e + f*x))^n,x)","\int {\sin\left(e+f\,x\right)}^m\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int(sin(e + f*x)^m*(b/cos(e + f*x))^n, x)","F"
491,0,-1,92,0.000000,"\text{Not used}","int((a*sin(e + f*x))^m*(b/cos(e + f*x))^n,x)","\int {\left(a\,\sin\left(e+f\,x\right)\right)}^m\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int((a*sin(e + f*x))^m*(b/cos(e + f*x))^n, x)","F"
492,1,134,80,1.601487,"\text{Not used}","int(sin(e + f*x)^5*(b/cos(e + f*x))^n,x)","\frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^n\,\left(150\,\cos\left(e+f\,x\right)-25\,\cos\left(3\,e+3\,f\,x\right)+3\,\cos\left(5\,e+5\,f\,x\right)-24\,n\,\cos\left(e+f\,x\right)+28\,n\,\cos\left(3\,e+3\,f\,x\right)-4\,n\,\cos\left(5\,e+5\,f\,x\right)+2\,n^2\,\cos\left(e+f\,x\right)-3\,n^2\,\cos\left(3\,e+3\,f\,x\right)+n^2\,\cos\left(5\,e+5\,f\,x\right)\right)}{16\,f\,\left(n^3-9\,n^2+23\,n-15\right)}","Not used",1,"((b/cos(e + f*x))^n*(150*cos(e + f*x) - 25*cos(3*e + 3*f*x) + 3*cos(5*e + 5*f*x) - 24*n*cos(e + f*x) + 28*n*cos(3*e + 3*f*x) - 4*n*cos(5*e + 5*f*x) + 2*n^2*cos(e + f*x) - 3*n^2*cos(3*e + 3*f*x) + n^2*cos(5*e + 5*f*x)))/(16*f*(23*n - 9*n^2 + n^3 - 15))","B"
493,1,67,52,0.935367,"\text{Not used}","int(sin(e + f*x)^3*(b/cos(e + f*x))^n,x)","-\frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^n\,\left(9\,\cos\left(e+f\,x\right)-\cos\left(3\,e+3\,f\,x\right)-n\,\cos\left(e+f\,x\right)+n\,\cos\left(3\,e+3\,f\,x\right)\right)}{4\,f\,\left(n^2-4\,n+3\right)}","Not used",1,"-((b/cos(e + f*x))^n*(9*cos(e + f*x) - cos(3*e + 3*f*x) - n*cos(e + f*x) + n*cos(3*e + 3*f*x)))/(4*f*(n^2 - 4*n + 3))","B"
494,1,27,25,0.194681,"\text{Not used}","int(sin(e + f*x)*(b/cos(e + f*x))^n,x)","\frac{\cos\left(e+f\,x\right)\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^n}{f\,\left(n-1\right)}","Not used",1,"(cos(e + f*x)*(b/cos(e + f*x))^n)/(f*(n - 1))","B"
495,0,-1,49,0.000000,"\text{Not used}","int((b/cos(e + f*x))^n/sin(e + f*x),x)","\int \frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^n}{\sin\left(e+f\,x\right)} \,d x","Not used",1,"int((b/cos(e + f*x))^n/sin(e + f*x), x)","F"
496,0,-1,48,0.000000,"\text{Not used}","int((b/cos(e + f*x))^n/sin(e + f*x)^3,x)","\int \frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^n}{{\sin\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((b/cos(e + f*x))^n/sin(e + f*x)^3, x)","F"
497,0,-1,73,0.000000,"\text{Not used}","int(sin(e + f*x)^6*(b/cos(e + f*x))^n,x)","\int {\sin\left(e+f\,x\right)}^6\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int(sin(e + f*x)^6*(b/cos(e + f*x))^n, x)","F"
498,0,-1,73,0.000000,"\text{Not used}","int(sin(e + f*x)^4*(b/cos(e + f*x))^n,x)","\int {\sin\left(e+f\,x\right)}^4\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int(sin(e + f*x)^4*(b/cos(e + f*x))^n, x)","F"
499,0,-1,73,0.000000,"\text{Not used}","int(sin(e + f*x)^2*(b/cos(e + f*x))^n,x)","\int {\sin\left(e+f\,x\right)}^2\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int(sin(e + f*x)^2*(b/cos(e + f*x))^n, x)","F"
500,0,-1,73,0.000000,"\text{Not used}","int((b/cos(e + f*x))^n,x)","\int {\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^n \,d x","Not used",1,"int((b/cos(e + f*x))^n, x)","F"
501,0,-1,73,0.000000,"\text{Not used}","int((b/cos(e + f*x))^n/sin(e + f*x)^2,x)","\int \frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^n}{{\sin\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((b/cos(e + f*x))^n/sin(e + f*x)^2, x)","F"
502,0,-1,73,0.000000,"\text{Not used}","int((b/cos(e + f*x))^n/sin(e + f*x)^4,x)","\int \frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^n}{{\sin\left(e+f\,x\right)}^4} \,d x","Not used",1,"int((b/cos(e + f*x))^n/sin(e + f*x)^4, x)","F"
503,0,-1,76,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(3/2)*(b/cos(a + b*x))^n,x)","\int {\left(c\,\sin\left(a+b\,x\right)\right)}^{3/2}\,{\left(\frac{b}{\cos\left(a+b\,x\right)}\right)}^n \,d x","Not used",1,"int((c*sin(a + b*x))^(3/2)*(b/cos(a + b*x))^n, x)","F"
504,0,-1,76,0.000000,"\text{Not used}","int((c*sin(a + b*x))^(1/2)*(b/cos(a + b*x))^n,x)","\int \sqrt{c\,\sin\left(a+b\,x\right)}\,{\left(\frac{b}{\cos\left(a+b\,x\right)}\right)}^n \,d x","Not used",1,"int((c*sin(a + b*x))^(1/2)*(b/cos(a + b*x))^n, x)","F"
505,0,-1,76,0.000000,"\text{Not used}","int((b/cos(a + b*x))^n/(c*sin(a + b*x))^(1/2),x)","\int \frac{{\left(\frac{b}{\cos\left(a+b\,x\right)}\right)}^n}{\sqrt{c\,\sin\left(a+b\,x\right)}} \,d x","Not used",1,"int((b/cos(a + b*x))^n/(c*sin(a + b*x))^(1/2), x)","F"
506,0,-1,78,0.000000,"\text{Not used}","int((b/cos(a + b*x))^n/(c*sin(a + b*x))^(3/2),x)","\int \frac{{\left(\frac{b}{\cos\left(a+b\,x\right)}\right)}^n}{{\left(c\,\sin\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((b/cos(a + b*x))^n/(c*sin(a + b*x))^(3/2), x)","F"
507,0,-1,100,0.000000,"\text{Not used}","int(sin(e + f*x)^4*(d/sin(e + f*x))^(1/2),x)","\int {\sin\left(e+f\,x\right)}^4\,\sqrt{\frac{d}{\sin\left(e+f\,x\right)}} \,d x","Not used",1,"int(sin(e + f*x)^4*(d/sin(e + f*x))^(1/2), x)","F"
508,0,-1,75,0.000000,"\text{Not used}","int(sin(e + f*x)^3*(d/sin(e + f*x))^(1/2),x)","\int {\sin\left(e+f\,x\right)}^3\,\sqrt{\frac{d}{\sin\left(e+f\,x\right)}} \,d x","Not used",1,"int(sin(e + f*x)^3*(d/sin(e + f*x))^(1/2), x)","F"
509,0,-1,72,0.000000,"\text{Not used}","int(sin(e + f*x)^2*(d/sin(e + f*x))^(1/2),x)","\int {\sin\left(e+f\,x\right)}^2\,\sqrt{\frac{d}{\sin\left(e+f\,x\right)}} \,d x","Not used",1,"int(sin(e + f*x)^2*(d/sin(e + f*x))^(1/2), x)","F"
510,0,-1,44,0.000000,"\text{Not used}","int(sin(e + f*x)*(d/sin(e + f*x))^(1/2),x)","\int \sin\left(e+f\,x\right)\,\sqrt{\frac{d}{\sin\left(e+f\,x\right)}} \,d x","Not used",1,"int(sin(e + f*x)*(d/sin(e + f*x))^(1/2), x)","F"
511,1,63,43,0.618714,"\text{Not used}","int((d/sin(e + f*x))^(1/2),x)","-\frac{2\,\sqrt{\sin\left(e+f\,x\right)}\,\mathrm{F}\left(\mathrm{asin}\left(\frac{\sqrt{2}\,\sqrt{1-\sin\left(e+f\,x\right)}}{2}\right)\middle|2\right)\,\sqrt{\frac{d}{\sin\left(e+f\,x\right)}}\,\sqrt{{\cos\left(e+f\,x\right)}^2}}{f\,\cos\left(e+f\,x\right)}","Not used",1,"-(2*sin(e + f*x)^(1/2)*ellipticF(asin((2^(1/2)*(1 - sin(e + f*x))^(1/2))/2), 2)*(d/sin(e + f*x))^(1/2)*(cos(e + f*x)^2)^(1/2))/(f*cos(e + f*x))","B"
512,0,-1,68,0.000000,"\text{Not used}","int((d/sin(e + f*x))^(1/2)/sin(e + f*x),x)","\int \frac{\sqrt{\frac{d}{\sin\left(e+f\,x\right)}}}{\sin\left(e+f\,x\right)} \,d x","Not used",1,"int((d/sin(e + f*x))^(1/2)/sin(e + f*x), x)","F"
513,0,-1,74,0.000000,"\text{Not used}","int((d/sin(e + f*x))^(1/2)/sin(e + f*x)^2,x)","\int \frac{\sqrt{\frac{d}{\sin\left(e+f\,x\right)}}}{{\sin\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((d/sin(e + f*x))^(1/2)/sin(e + f*x)^2, x)","F"
514,0,-1,100,0.000000,"\text{Not used}","int((d/sin(e + f*x))^(1/2)/sin(e + f*x)^3,x)","\int \frac{\sqrt{\frac{d}{\sin\left(e+f\,x\right)}}}{{\sin\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((d/sin(e + f*x))^(1/2)/sin(e + f*x)^3, x)","F"
515,0,-1,103,0.000000,"\text{Not used}","int(sin(e + f*x)^5*(d/sin(e + f*x))^(3/2),x)","\int {\sin\left(e+f\,x\right)}^5\,{\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)^5*(d/sin(e + f*x))^(3/2), x)","F"
516,0,-1,77,0.000000,"\text{Not used}","int(sin(e + f*x)^4*(d/sin(e + f*x))^(3/2),x)","\int {\sin\left(e+f\,x\right)}^4\,{\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)^4*(d/sin(e + f*x))^(3/2), x)","F"
517,0,-1,75,0.000000,"\text{Not used}","int(sin(e + f*x)^3*(d/sin(e + f*x))^(3/2),x)","\int {\sin\left(e+f\,x\right)}^3\,{\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)^3*(d/sin(e + f*x))^(3/2), x)","F"
518,0,-1,46,0.000000,"\text{Not used}","int(sin(e + f*x)^2*(d/sin(e + f*x))^(3/2),x)","\int {\sin\left(e+f\,x\right)}^2\,{\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)^2*(d/sin(e + f*x))^(3/2), x)","F"
519,0,-1,44,0.000000,"\text{Not used}","int(sin(e + f*x)*(d/sin(e + f*x))^(3/2),x)","\int \sin\left(e+f\,x\right)\,{\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int(sin(e + f*x)*(d/sin(e + f*x))^(3/2), x)","F"
520,0,-1,71,0.000000,"\text{Not used}","int((d/sin(e + f*x))^(3/2),x)","\int {\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int((d/sin(e + f*x))^(3/2), x)","F"
521,0,-1,72,0.000000,"\text{Not used}","int((d/sin(e + f*x))^(3/2)/sin(e + f*x),x)","\int \frac{{\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2}}{\sin\left(e+f\,x\right)} \,d x","Not used",1,"int((d/sin(e + f*x))^(3/2)/sin(e + f*x), x)","F"
522,0,-1,103,0.000000,"\text{Not used}","int((d/sin(e + f*x))^(3/2)/sin(e + f*x)^2,x)","\int \frac{{\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2}}{{\sin\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((d/sin(e + f*x))^(3/2)/sin(e + f*x)^2, x)","F"
523,0,-1,102,0.000000,"\text{Not used}","int(sin(e + f*x)^3/(d/sin(e + f*x))^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^3}{\sqrt{\frac{d}{\sin\left(e+f\,x\right)}}} \,d x","Not used",1,"int(sin(e + f*x)^3/(d/sin(e + f*x))^(1/2), x)","F"
524,0,-1,72,0.000000,"\text{Not used}","int(sin(e + f*x)^2/(d/sin(e + f*x))^(1/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^2}{\sqrt{\frac{d}{\sin\left(e+f\,x\right)}}} \,d x","Not used",1,"int(sin(e + f*x)^2/(d/sin(e + f*x))^(1/2), x)","F"
525,0,-1,74,0.000000,"\text{Not used}","int(sin(e + f*x)/(d/sin(e + f*x))^(1/2),x)","\int \frac{\sin\left(e+f\,x\right)}{\sqrt{\frac{d}{\sin\left(e+f\,x\right)}}} \,d x","Not used",1,"int(sin(e + f*x)/(d/sin(e + f*x))^(1/2), x)","F"
526,0,-1,43,0.000000,"\text{Not used}","int(1/(d/sin(e + f*x))^(1/2),x)","\int \frac{1}{\sqrt{\frac{d}{\sin\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(d/sin(e + f*x))^(1/2), x)","F"
527,0,-1,46,0.000000,"\text{Not used}","int(1/(sin(e + f*x)*(d/sin(e + f*x))^(1/2)),x)","\int \frac{1}{\sin\left(e+f\,x\right)\,\sqrt{\frac{d}{\sin\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(sin(e + f*x)*(d/sin(e + f*x))^(1/2)), x)","F"
528,0,-1,70,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^2*(d/sin(e + f*x))^(1/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^2\,\sqrt{\frac{d}{\sin\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(sin(e + f*x)^2*(d/sin(e + f*x))^(1/2)), x)","F"
529,0,-1,77,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^3*(d/sin(e + f*x))^(1/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^3\,\sqrt{\frac{d}{\sin\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/(sin(e + f*x)^3*(d/sin(e + f*x))^(1/2)), x)","F"
530,0,-1,103,0.000000,"\text{Not used}","int(sin(e + f*x)^2/(d/sin(e + f*x))^(3/2),x)","\int \frac{{\sin\left(e+f\,x\right)}^2}{{\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(sin(e + f*x)^2/(d/sin(e + f*x))^(3/2), x)","F"
531,0,-1,74,0.000000,"\text{Not used}","int(sin(e + f*x)/(d/sin(e + f*x))^(3/2),x)","\int \frac{\sin\left(e+f\,x\right)}{{\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(sin(e + f*x)/(d/sin(e + f*x))^(3/2), x)","F"
532,0,-1,77,0.000000,"\text{Not used}","int(1/(d/sin(e + f*x))^(3/2),x)","\int \frac{1}{{\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(d/sin(e + f*x))^(3/2), x)","F"
533,0,-1,46,0.000000,"\text{Not used}","int(1/(sin(e + f*x)*(d/sin(e + f*x))^(3/2)),x)","\int \frac{1}{\sin\left(e+f\,x\right)\,{\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)*(d/sin(e + f*x))^(3/2)), x)","F"
534,0,-1,46,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^2*(d/sin(e + f*x))^(3/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^2\,{\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^2*(d/sin(e + f*x))^(3/2)), x)","F"
535,0,-1,73,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^3*(d/sin(e + f*x))^(3/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^3\,{\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^3*(d/sin(e + f*x))^(3/2)), x)","F"
536,0,-1,77,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^4*(d/sin(e + f*x))^(3/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^4\,{\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^4*(d/sin(e + f*x))^(3/2)), x)","F"
537,0,-1,105,0.000000,"\text{Not used}","int(1/(sin(e + f*x)^5*(d/sin(e + f*x))^(3/2)),x)","\int \frac{1}{{\sin\left(e+f\,x\right)}^5\,{\left(\frac{d}{\sin\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(e + f*x)^5*(d/sin(e + f*x))^(3/2)), x)","F"
538,0,-1,87,0.000000,"\text{Not used}","int((a*sin(e + f*x))^m*(b/sin(e + f*x))^n,x)","\int {\left(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"