1,0,0,364,3.656000," ","int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(5/2)*(A+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \left(c -c \sin \left(f x +e \right)\right)^{\frac{5}{2}} \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(5/2)*(A+C*sin(f*x+e)^2),x)","F"
2,0,0,271,3.632000," ","int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(3/2)*(A+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \left(c -c \sin \left(f x +e \right)\right)^{\frac{3}{2}} \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(3/2)*(A+C*sin(f*x+e)^2),x)","F"
3,0,0,170,3.585000," ","int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(1/2)*(A+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \sqrt{c -c \sin \left(f x +e \right)}\, \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(1/2)*(A+C*sin(f*x+e)^2),x)","F"
4,0,0,115,3.400000," ","int((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(1/2),x)","\int \frac{\left(a +a \sin \left(f x +e \right)\right)^{m} \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)}{\sqrt{c -c \sin \left(f x +e \right)}}\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(1/2),x)","F"
5,0,0,186,3.300000," ","int((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(3/2),x)","\int \frac{\left(a +a \sin \left(f x +e \right)\right)^{m} \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)}{\left(c -c \sin \left(f x +e \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(3/2),x)","F"
6,0,0,191,3.419000," ","int((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(5/2),x)","\int \frac{\left(a +a \sin \left(f x +e \right)\right)^{m} \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)}{\left(c -c \sin \left(f x +e \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(5/2),x)","F"
7,1,343,149,0.826000," ","int((A+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(3/2)/(a+a*sin(f*x+e))^(1/2),x)","-\frac{\left(A \sin \left(f x +e \right) \ln \left(\frac{1-\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)-A \sin \left(f x +e \right) \ln \left(-\frac{-1+\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)-2 C \ln \left(\frac{2}{\cos \left(f x +e \right)+1}\right) \sin \left(f x +e \right)+C \ln \left(\frac{1-\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right) \sin \left(f x +e \right)+3 C \ln \left(-\frac{-1+\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right) \sin \left(f x +e \right)-A \sin \left(f x +e \right)-A \ln \left(\frac{1-\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)+A \ln \left(-\frac{-1+\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)-C \sin \left(f x +e \right)+2 C \ln \left(\frac{2}{\cos \left(f x +e \right)+1}\right)-C \ln \left(\frac{1-\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)-3 C \ln \left(-\frac{-1+\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)\right) \cos \left(f x +e \right)}{2 f \sqrt{a \left(1+\sin \left(f x +e \right)\right)}\, \left(-c \left(\sin \left(f x +e \right)-1\right)\right)^{\frac{3}{2}}}"," ",0,"-1/2/f*(A*sin(f*x+e)*ln((1-cos(f*x+e)+sin(f*x+e))/sin(f*x+e))-A*sin(f*x+e)*ln(-(-1+cos(f*x+e)+sin(f*x+e))/sin(f*x+e))-2*C*ln(2/(cos(f*x+e)+1))*sin(f*x+e)+C*ln((1-cos(f*x+e)+sin(f*x+e))/sin(f*x+e))*sin(f*x+e)+3*C*ln(-(-1+cos(f*x+e)+sin(f*x+e))/sin(f*x+e))*sin(f*x+e)-A*sin(f*x+e)-A*ln((1-cos(f*x+e)+sin(f*x+e))/sin(f*x+e))+A*ln(-(-1+cos(f*x+e)+sin(f*x+e))/sin(f*x+e))-C*sin(f*x+e)+2*C*ln(2/(cos(f*x+e)+1))-C*ln((1-cos(f*x+e)+sin(f*x+e))/sin(f*x+e))-3*C*ln(-(-1+cos(f*x+e)+sin(f*x+e))/sin(f*x+e)))*cos(f*x+e)/(a*(1+sin(f*x+e)))^(1/2)/(-c*(sin(f*x+e)-1))^(3/2)","B"
8,0,0,237,10.347000," ","int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^n*(A+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \left(c -c \sin \left(f x +e \right)\right)^{n} \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^n*(A+C*sin(f*x+e)^2),x)","F"
9,0,0,342,3.770000," ","int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^n*(A+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \left(c +d \sin \left(f x +e \right)\right)^{n} \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^n*(A+C*sin(f*x+e)^2),x)","F"
10,0,0,370,20.396000," ","int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^(-2-m)*(A+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \left(c +d \sin \left(f x +e \right)\right)^{-2-m} \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^(-2-m)*(A+C*sin(f*x+e)^2),x)","F"
11,0,0,347,3.643000," ","int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^(3/2)*(A+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \left(c +d \sin \left(f x +e \right)\right)^{\frac{3}{2}} \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^(3/2)*(A+C*sin(f*x+e)^2),x)","F"
12,0,0,337,3.568000," ","int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^(1/2)*(A+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \sqrt{c +d \sin \left(f x +e \right)}\, \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^(1/2)*(A+C*sin(f*x+e)^2),x)","F"
13,0,0,327,1.959000," ","int((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2)/(c+d*sin(f*x+e))^(1/2),x)","\int \frac{\left(a +a \sin \left(f x +e \right)\right)^{m} \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)}{\sqrt{c +d \sin \left(f x +e \right)}}\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2)/(c+d*sin(f*x+e))^(1/2),x)","F"
14,0,0,375,1.933000," ","int((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2)/(c+d*sin(f*x+e))^(3/2),x)","\int \frac{\left(a +a \sin \left(f x +e \right)\right)^{m} \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)}{\left(c +d \sin \left(f x +e \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2)/(c+d*sin(f*x+e))^(3/2),x)","F"
15,0,0,380,1.940000," ","int((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2)/(c+d*sin(f*x+e))^(5/2),x)","\int \frac{\left(a +a \sin \left(f x +e \right)\right)^{m} \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)}{\left(c +d \sin \left(f x +e \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2)/(c+d*sin(f*x+e))^(5/2),x)","F"
16,1,476,156,0.942000," ","int((A+B*sin(f*x+e)+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(3/2)/(a+a*sin(f*x+e))^(1/2),x)","-\frac{\left(A \sin \left(f x +e \right) \ln \left(\frac{1-\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)-A \sin \left(f x +e \right) \ln \left(-\frac{-1+\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)-B \sin \left(f x +e \right) \ln \left(\frac{1-\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)+B \sin \left(f x +e \right) \ln \left(-\frac{-1+\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)-2 C \ln \left(\frac{2}{\cos \left(f x +e \right)+1}\right) \sin \left(f x +e \right)+C \ln \left(\frac{1-\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right) \sin \left(f x +e \right)+3 C \ln \left(-\frac{-1+\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right) \sin \left(f x +e \right)-A \sin \left(f x +e \right)-A \ln \left(\frac{1-\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)+A \ln \left(-\frac{-1+\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)-B \sin \left(f x +e \right)+B \ln \left(\frac{1-\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)-B \ln \left(-\frac{-1+\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)-C \sin \left(f x +e \right)+2 C \ln \left(\frac{2}{\cos \left(f x +e \right)+1}\right)-C \ln \left(\frac{1-\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)-3 C \ln \left(-\frac{-1+\cos \left(f x +e \right)+\sin \left(f x +e \right)}{\sin \left(f x +e \right)}\right)\right) \cos \left(f x +e \right)}{2 f \sqrt{a \left(1+\sin \left(f x +e \right)\right)}\, \left(-c \left(\sin \left(f x +e \right)-1\right)\right)^{\frac{3}{2}}}"," ",0,"-1/2/f*(A*sin(f*x+e)*ln((1-cos(f*x+e)+sin(f*x+e))/sin(f*x+e))-A*sin(f*x+e)*ln(-(-1+cos(f*x+e)+sin(f*x+e))/sin(f*x+e))-B*sin(f*x+e)*ln((1-cos(f*x+e)+sin(f*x+e))/sin(f*x+e))+B*sin(f*x+e)*ln(-(-1+cos(f*x+e)+sin(f*x+e))/sin(f*x+e))-2*C*ln(2/(cos(f*x+e)+1))*sin(f*x+e)+C*ln((1-cos(f*x+e)+sin(f*x+e))/sin(f*x+e))*sin(f*x+e)+3*C*ln(-(-1+cos(f*x+e)+sin(f*x+e))/sin(f*x+e))*sin(f*x+e)-A*sin(f*x+e)-A*ln((1-cos(f*x+e)+sin(f*x+e))/sin(f*x+e))+A*ln(-(-1+cos(f*x+e)+sin(f*x+e))/sin(f*x+e))-B*sin(f*x+e)+B*ln((1-cos(f*x+e)+sin(f*x+e))/sin(f*x+e))-B*ln(-(-1+cos(f*x+e)+sin(f*x+e))/sin(f*x+e))-C*sin(f*x+e)+2*C*ln(2/(cos(f*x+e)+1))-C*ln((1-cos(f*x+e)+sin(f*x+e))/sin(f*x+e))-3*C*ln(-(-1+cos(f*x+e)+sin(f*x+e))/sin(f*x+e)))*cos(f*x+e)/(a*(1+sin(f*x+e)))^(1/2)/(-c*(sin(f*x+e)-1))^(3/2)","B"
17,0,0,249,13.733000," ","int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^n*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \left(c -c \sin \left(f x +e \right)\right)^{n} \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^n*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","F"
18,0,0,409,6.268000," ","int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \left(c -c \sin \left(f x +e \right)\right)^{\frac{5}{2}} \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(5/2)*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","F"
19,0,0,306,6.067000," ","int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \left(c -c \sin \left(f x +e \right)\right)^{\frac{3}{2}} \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","F"
20,0,0,187,5.906000," ","int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(1/2)*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \sqrt{c -c \sin \left(f x +e \right)}\, \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(1/2)*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","F"
21,0,0,160,4.334000," ","int((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(1/2),x)","\int \frac{\left(a +a \sin \left(f x +e \right)\right)^{m} \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)}{\sqrt{c -c \sin \left(f x +e \right)}}\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(1/2),x)","F"
22,0,0,200,4.128000," ","int((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(3/2),x)","\int \frac{\left(a +a \sin \left(f x +e \right)\right)^{m} \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)}{\left(c -c \sin \left(f x +e \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(3/2),x)","F"
23,0,0,214,4.200000," ","int((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(5/2),x)","\int \frac{\left(a +a \sin \left(f x +e \right)\right)^{m} \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)}{\left(c -c \sin \left(f x +e \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2)/(c-c*sin(f*x+e))^(5/2),x)","F"
24,0,0,206,20.079000," ","int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(-2-m)*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \left(c -c \sin \left(f x +e \right)\right)^{-2-m} \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c-c*sin(f*x+e))^(-2-m)*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","F"
25,0,0,359,4.481000," ","int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^n*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \left(c +d \sin \left(f x +e \right)\right)^{n} \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^n*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","F"
26,0,0,388,24.343000," ","int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^(-2-m)*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \left(c +d \sin \left(f x +e \right)\right)^{-2-m} \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^(-2-m)*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","F"
27,0,0,368,4.473000," ","int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \left(c +d \sin \left(f x +e \right)\right)^{\frac{3}{2}} \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^(3/2)*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","F"
28,0,0,358,4.240000," ","int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^(1/2)*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \sqrt{c +d \sin \left(f x +e \right)}\, \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(c+d*sin(f*x+e))^(1/2)*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","F"
29,0,0,351,4.052000," ","int((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2)/(c+d*sin(f*x+e))^(1/2),x)","\int \frac{\left(a +a \sin \left(f x +e \right)\right)^{m} \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)}{\sqrt{c +d \sin \left(f x +e \right)}}\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2)/(c+d*sin(f*x+e))^(1/2),x)","F"
30,0,0,395,3.959000," ","int((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2)/(c+d*sin(f*x+e))^(3/2),x)","\int \frac{\left(a +a \sin \left(f x +e \right)\right)^{m} \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)}{\left(c +d \sin \left(f x +e \right)\right)^{\frac{3}{2}}}\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2)/(c+d*sin(f*x+e))^(3/2),x)","F"
31,0,0,407,3.999000," ","int((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2)/(c+d*sin(f*x+e))^(5/2),x)","\int \frac{\left(a +a \sin \left(f x +e \right)\right)^{m} \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)}{\left(c +d \sin \left(f x +e \right)\right)^{\frac{5}{2}}}\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2)/(c+d*sin(f*x+e))^(5/2),x)","F"
32,1,104,75,0.326000," ","int((a+b*sin(d*x+c))*(A+B*sin(d*x+c)+C*sin(d*x+c)^2),x)","\frac{-\frac{C b \left(2+\sin^{2}\left(d x +c \right)\right) \cos \left(d x +c \right)}{3}+B b \left(-\frac{\cos \left(d x +c \right) \sin \left(d x +c \right)}{2}+\frac{d x}{2}+\frac{c}{2}\right)+a C \left(-\frac{\cos \left(d x +c \right) \sin \left(d x +c \right)}{2}+\frac{d x}{2}+\frac{c}{2}\right)-A b \cos \left(d x +c \right)-a B \cos \left(d x +c \right)+a A \left(d x +c \right)}{d}"," ",0,"1/d*(-1/3*C*b*(2+sin(d*x+c)^2)*cos(d*x+c)+B*b*(-1/2*cos(d*x+c)*sin(d*x+c)+1/2*d*x+1/2*c)+a*C*(-1/2*cos(d*x+c)*sin(d*x+c)+1/2*d*x+1/2*c)-A*b*cos(d*x+c)-a*B*cos(d*x+c)+a*A*(d*x+c))","A"
33,1,516,169,1.455000," ","int((a+b*sin(f*x+e))*(A+B*sin(f*x+e)+C*sin(f*x+e)^2)/sin(f*x+e)^(3/2),x)","\frac{-A \sqrt{-\sin \left(f x +e \right)}\, \EllipticF \left(\sqrt{1+\sin \left(f x +e \right)}, \frac{\sqrt{2}}{2}\right) \sqrt{1+\sin \left(f x +e \right)}\, \sqrt{-2 \sin \left(f x +e \right)+2}\, a +A b \sqrt{1+\sin \left(f x +e \right)}\, \sqrt{-2 \sin \left(f x +e \right)+2}\, \sqrt{-\sin \left(f x +e \right)}\, \EllipticF \left(\sqrt{1+\sin \left(f x +e \right)}, \frac{\sqrt{2}}{2}\right)+2 A \sqrt{-\sin \left(f x +e \right)}\, \EllipticE \left(\sqrt{1+\sin \left(f x +e \right)}, \frac{\sqrt{2}}{2}\right) \sqrt{1+\sin \left(f x +e \right)}\, \sqrt{-2 \sin \left(f x +e \right)+2}\, a +a B \sqrt{1+\sin \left(f x +e \right)}\, \sqrt{-2 \sin \left(f x +e \right)+2}\, \sqrt{-\sin \left(f x +e \right)}\, \EllipticF \left(\sqrt{1+\sin \left(f x +e \right)}, \frac{\sqrt{2}}{2}\right)+B b \sqrt{1+\sin \left(f x +e \right)}\, \sqrt{-2 \sin \left(f x +e \right)+2}\, \sqrt{-\sin \left(f x +e \right)}\, \EllipticF \left(\sqrt{1+\sin \left(f x +e \right)}, \frac{\sqrt{2}}{2}\right)-2 B b \sqrt{1+\sin \left(f x +e \right)}\, \sqrt{-2 \sin \left(f x +e \right)+2}\, \sqrt{-\sin \left(f x +e \right)}\, \EllipticE \left(\sqrt{1+\sin \left(f x +e \right)}, \frac{\sqrt{2}}{2}\right)+a C \sqrt{1+\sin \left(f x +e \right)}\, \sqrt{-2 \sin \left(f x +e \right)+2}\, \sqrt{-\sin \left(f x +e \right)}\, \EllipticF \left(\sqrt{1+\sin \left(f x +e \right)}, \frac{\sqrt{2}}{2}\right)+\frac{C \sqrt{-\sin \left(f x +e \right)}\, \EllipticF \left(\sqrt{1+\sin \left(f x +e \right)}, \frac{\sqrt{2}}{2}\right) \sqrt{1+\sin \left(f x +e \right)}\, \sqrt{-2 \sin \left(f x +e \right)+2}\, b}{3}-2 a C \sqrt{1+\sin \left(f x +e \right)}\, \sqrt{-2 \sin \left(f x +e \right)+2}\, \sqrt{-\sin \left(f x +e \right)}\, \EllipticE \left(\sqrt{1+\sin \left(f x +e \right)}, \frac{\sqrt{2}}{2}\right)-\frac{2 C \left(\cos^{2}\left(f x +e \right)\right) \sin \left(f x +e \right) b}{3}-2 A a \left(\cos^{2}\left(f x +e \right)\right)}{\cos \left(f x +e \right) \sqrt{\sin \left(f x +e \right)}\, f}"," ",0,"(-A*(-sin(f*x+e))^(1/2)*EllipticF((1+sin(f*x+e))^(1/2),1/2*2^(1/2))*(1+sin(f*x+e))^(1/2)*(-2*sin(f*x+e)+2)^(1/2)*a+A*b*(1+sin(f*x+e))^(1/2)*(-2*sin(f*x+e)+2)^(1/2)*(-sin(f*x+e))^(1/2)*EllipticF((1+sin(f*x+e))^(1/2),1/2*2^(1/2))+2*A*(-sin(f*x+e))^(1/2)*EllipticE((1+sin(f*x+e))^(1/2),1/2*2^(1/2))*(1+sin(f*x+e))^(1/2)*(-2*sin(f*x+e)+2)^(1/2)*a+a*B*(1+sin(f*x+e))^(1/2)*(-2*sin(f*x+e)+2)^(1/2)*(-sin(f*x+e))^(1/2)*EllipticF((1+sin(f*x+e))^(1/2),1/2*2^(1/2))+B*b*(1+sin(f*x+e))^(1/2)*(-2*sin(f*x+e)+2)^(1/2)*(-sin(f*x+e))^(1/2)*EllipticF((1+sin(f*x+e))^(1/2),1/2*2^(1/2))-2*B*b*(1+sin(f*x+e))^(1/2)*(-2*sin(f*x+e)+2)^(1/2)*(-sin(f*x+e))^(1/2)*EllipticE((1+sin(f*x+e))^(1/2),1/2*2^(1/2))+a*C*(1+sin(f*x+e))^(1/2)*(-2*sin(f*x+e)+2)^(1/2)*(-sin(f*x+e))^(1/2)*EllipticF((1+sin(f*x+e))^(1/2),1/2*2^(1/2))+1/3*C*(-sin(f*x+e))^(1/2)*EllipticF((1+sin(f*x+e))^(1/2),1/2*2^(1/2))*(1+sin(f*x+e))^(1/2)*(-2*sin(f*x+e)+2)^(1/2)*b-2*a*C*(1+sin(f*x+e))^(1/2)*(-2*sin(f*x+e)+2)^(1/2)*(-sin(f*x+e))^(1/2)*EllipticE((1+sin(f*x+e))^(1/2),1/2*2^(1/2))-2/3*C*cos(f*x+e)^2*sin(f*x+e)*b-2*A*a*cos(f*x+e)^2)/cos(f*x+e)/sin(f*x+e)^(1/2)/f","B"
34,0,0,47,4.256000," ","int((a+b*sin(f*x+e))^m*(c+d*sin(f*x+e))^n*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","\int \left(a +b \sin \left(f x +e \right)\right)^{m} \left(c +d \sin \left(f x +e \right)\right)^{n} \left(A +B \sin \left(f x +e \right)+C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+b*sin(f*x+e))^m*(c+d*sin(f*x+e))^n*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","F"