1,0,0,20,5.205000," ","int(sin(f*x+e)^m*(1+m-(2+m)*sin(f*x+e)^2),x)","\int \left(\sin^{m}\left(f x +e \right)\right) \left(1+m -\left(2+m \right) \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int(sin(f*x+e)^m*(1+m-(2+m)*sin(f*x+e)^2),x)","F"
2,1,71,18,0.490000," ","int(sin(f*x+e)^5*(6-7*sin(f*x+e)^2),x)","\frac{\left(\frac{16}{5}+\sin^{6}\left(f x +e \right)+\frac{6 \left(\sin^{4}\left(f x +e \right)\right)}{5}+\frac{8 \left(\sin^{2}\left(f x +e \right)\right)}{5}\right) \cos \left(f x +e \right)-\frac{6 \left(\frac{8}{3}+\sin^{4}\left(f x +e \right)+\frac{4 \left(\sin^{2}\left(f x +e \right)\right)}{3}\right) \cos \left(f x +e \right)}{5}}{f}"," ",0,"1/f*((16/5+sin(f*x+e)^6+6/5*sin(f*x+e)^4+8/5*sin(f*x+e)^2)*cos(f*x+e)-6/5*(8/3+sin(f*x+e)^4+4/3*sin(f*x+e)^2)*cos(f*x+e))","B"
3,1,65,18,0.426000," ","int(sin(f*x+e)^4*(5-6*sin(f*x+e)^2),x)","\frac{\left(\sin^{5}\left(f x +e \right)+\frac{5 \left(\sin^{3}\left(f x +e \right)\right)}{4}+\frac{15 \sin \left(f x +e \right)}{8}\right) \cos \left(f x +e \right)-\frac{5 \left(\sin^{3}\left(f x +e \right)+\frac{3 \sin \left(f x +e \right)}{2}\right) \cos \left(f x +e \right)}{4}}{f}"," ",0,"1/f*((sin(f*x+e)^5+5/4*sin(f*x+e)^3+15/8*sin(f*x+e))*cos(f*x+e)-5/4*(sin(f*x+e)^3+3/2*sin(f*x+e))*cos(f*x+e))","B"
4,1,51,18,0.419000," ","int(sin(f*x+e)^3*(4-5*sin(f*x+e)^2),x)","\frac{\left(\frac{8}{3}+\sin^{4}\left(f x +e \right)+\frac{4 \left(\sin^{2}\left(f x +e \right)\right)}{3}\right) \cos \left(f x +e \right)-\frac{4 \left(2+\sin^{2}\left(f x +e \right)\right) \cos \left(f x +e \right)}{3}}{f}"," ",0,"1/f*((8/3+sin(f*x+e)^4+4/3*sin(f*x+e)^2)*cos(f*x+e)-4/3*(2+sin(f*x+e)^2)*cos(f*x+e))","B"
5,1,44,18,0.319000," ","int(sin(f*x+e)^2*(3-4*sin(f*x+e)^2),x)","\frac{\left(\sin^{3}\left(f x +e \right)+\frac{3 \sin \left(f x +e \right)}{2}\right) \cos \left(f x +e \right)-\frac{3 \sin \left(f x +e \right) \cos \left(f x +e \right)}{2}}{f}"," ",0,"1/f*((sin(f*x+e)^3+3/2*sin(f*x+e))*cos(f*x+e)-3/2*sin(f*x+e)*cos(f*x+e))","B"
6,1,31,18,0.307000," ","int(sin(f*x+e)*(2-3*sin(f*x+e)^2),x)","\frac{\left(2+\sin^{2}\left(f x +e \right)\right) \cos \left(f x +e \right)-2 \cos \left(f x +e \right)}{f}"," ",0,"1/f*((2+sin(f*x+e)^2)*cos(f*x+e)-2*cos(f*x+e))","A"
7,1,30,16,0.061000," ","int(1-2*sin(f*x+e)^2,x)","x -\frac{2 \left(-\frac{\sin \left(f x +e \right) \cos \left(f x +e \right)}{2}+\frac{f x}{2}+\frac{e}{2}\right)}{f}"," ",0,"x-2/f*(-1/2*sin(f*x+e)*cos(f*x+e)+1/2*f*x+1/2*e)","A"
8,1,11,10,0.185000," ","int(-csc(f*x+e)*sin(f*x+e)^2,x)","\frac{\cos \left(f x +e \right)}{f}"," ",0,"cos(f*x+e)/f","A"
9,1,11,10,0.308000," ","int(-csc(f*x+e)^2,x)","\frac{\cot \left(f x +e \right)}{f}"," ",0,"cot(f*x+e)/f","A"
10,1,17,16,0.509000," ","int(csc(f*x+e)^3*(-2+sin(f*x+e)^2),x)","\frac{\cot \left(f x +e \right) \csc \left(f x +e \right)}{f}"," ",0,"cot(f*x+e)*csc(f*x+e)/f","A"
11,1,34,18,0.516000," ","int(csc(f*x+e)^4*(-3+2*sin(f*x+e)^2),x)","\frac{-3 \left(-\frac{2}{3}-\frac{\left(\csc^{2}\left(f x +e \right)\right)}{3}\right) \cot \left(f x +e \right)-2 \cot \left(f x +e \right)}{f}"," ",0,"1/f*(-3*(-2/3-1/3*csc(f*x+e)^2)*cot(f*x+e)-2*cot(f*x+e))","A"
12,1,47,18,0.579000," ","int(csc(f*x+e)^5*(-4+3*sin(f*x+e)^2),x)","\frac{-4 \left(-\frac{\left(\csc^{3}\left(f x +e \right)\right)}{4}-\frac{3 \csc \left(f x +e \right)}{8}\right) \cot \left(f x +e \right)-\frac{3 \csc \left(f x +e \right) \cot \left(f x +e \right)}{2}}{f}"," ",0,"1/f*(-4*(-1/4*csc(f*x+e)^3-3/8*csc(f*x+e))*cot(f*x+e)-3/2*csc(f*x+e)*cot(f*x+e))","B"
13,0,0,159,4.534000," ","int((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2),x)","\int \left(a +a \sin \left(f x +e \right)\right)^{m} \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2),x)","F"
14,0,0,183,0.898000," ","int((a+b*sin(f*x+e))^m*(A-A*sin(f*x+e)^2),x)","\int \left(a +b \sin \left(f x +e \right)\right)^{m} \left(A -A \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+b*sin(f*x+e))^m*(A-A*sin(f*x+e)^2),x)","F"
15,0,0,258,1.273000," ","int((a+b*sin(f*x+e))^m*(A+C*sin(f*x+e)^2),x)","\int \left(a +b \sin \left(f x +e \right)\right)^{m} \left(A +C \left(\sin^{2}\left(f x +e \right)\right)\right)\, dx"," ",0,"int((a+b*sin(f*x+e))^m*(A+C*sin(f*x+e)^2),x)","F"
16,1,74,67,0.436000," ","int(sin(f*x+e)^5*(A+C*sin(f*x+e)^2),x)","\frac{-\frac{C \left(\frac{16}{5}+\sin^{6}\left(f x +e \right)+\frac{6 \left(\sin^{4}\left(f x +e \right)\right)}{5}+\frac{8 \left(\sin^{2}\left(f x +e \right)\right)}{5}\right) \cos \left(f x +e \right)}{7}-\frac{A \left(\frac{8}{3}+\sin^{4}\left(f x +e \right)+\frac{4 \left(\sin^{2}\left(f x +e \right)\right)}{3}\right) \cos \left(f x +e \right)}{5}}{f}"," ",0,"1/f*(-1/7*C*(16/5+sin(f*x+e)^6+6/5*sin(f*x+e)^4+8/5*sin(f*x+e)^2)*cos(f*x+e)-1/5*A*(8/3+sin(f*x+e)^4+4/3*sin(f*x+e)^2)*cos(f*x+e))","A"
17,0,0,172,5.372000," ","int((a+a*sin(f*x+e))^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(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*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","F"
18,0,0,187,3.590000," ","int((a+b*sin(f*x+e))^m*(A+(A+C)*sin(f*x+e)+C*sin(f*x+e)^2),x)","\int \left(a +b \sin \left(f x +e \right)\right)^{m} \left(A +\left(A +C \right) \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*(A+(A+C)*sin(f*x+e)+C*sin(f*x+e)^2),x)","F"
19,0,0,276,2.940000," ","int((a+b*sin(f*x+e))^m*(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(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*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x)","F"