1,1,107,20,0.1837839,"\int \sin ^m(e+f x) \left(1+m-(2+m) \sin ^2(e+f x)\right) \, dx","Integrate[Sin[e + f*x]^m*(1 + m - (2 + m)*Sin[e + f*x]^2),x]","\frac{\cos (e+f x) \sin ^{m+1}(e+f x) \left((m+3) \, _2F_1\left(\frac{1}{2},\frac{m+1}{2};\frac{m+3}{2};\sin ^2(e+f x)\right)-(m+2) \sin ^2(e+f x) \, _2F_1\left(\frac{1}{2},\frac{m+3}{2};\frac{m+5}{2};\sin ^2(e+f x)\right)\right)}{f (m+3) \sqrt{\cos ^2(e+f x)}}","\frac{\cos (e+f x) \sin ^{m+1}(e+f x)}{f}",1,"(Cos[e + f*x]*Sin[e + f*x]^(1 + m)*((3 + m)*Hypergeometric2F1[1/2, (1 + m)/2, (3 + m)/2, Sin[e + f*x]^2] - (2 + m)*Hypergeometric2F1[1/2, (3 + m)/2, (5 + m)/2, Sin[e + f*x]^2]*Sin[e + f*x]^2))/(f*(3 + m)*Sqrt[Cos[e + f*x]^2])","C",1
2,1,59,18,0.0300785,"\int \sin ^5(e+f x) \left(6-7 \sin ^2(e+f x)\right) \, dx","Integrate[Sin[e + f*x]^5*(6 - 7*Sin[e + f*x]^2),x]","\frac{5 \cos (e+f x)}{64 f}-\frac{9 \cos (3 (e+f x))}{64 f}+\frac{5 \cos (5 (e+f x))}{64 f}-\frac{\cos (7 (e+f x))}{64 f}","\frac{\sin ^6(e+f x) \cos (e+f x)}{f}",1,"(5*Cos[e + f*x])/(64*f) - (9*Cos[3*(e + f*x)])/(64*f) + (5*Cos[5*(e + f*x)])/(64*f) - Cos[7*(e + f*x)]/(64*f)","B",1
3,1,39,18,0.1093904,"\int \sin ^4(e+f x) \left(5-6 \sin ^2(e+f x)\right) \, dx","Integrate[Sin[e + f*x]^4*(5 - 6*Sin[e + f*x]^2),x]","\frac{5 \sin (2 (e+f x))-4 \sin (4 (e+f x))+\sin (6 (e+f x))+24 e}{32 f}","\frac{\sin ^5(e+f x) \cos (e+f x)}{f}",1,"(24*e + 5*Sin[2*(e + f*x)] - 4*Sin[4*(e + f*x)] + Sin[6*(e + f*x)])/(32*f)","B",1
4,1,44,18,0.0271796,"\int \sin ^3(e+f x) \left(4-5 \sin ^2(e+f x)\right) \, dx","Integrate[Sin[e + f*x]^3*(4 - 5*Sin[e + f*x]^2),x]","\frac{\cos (e+f x)}{8 f}-\frac{3 \cos (3 (e+f x))}{16 f}+\frac{\cos (5 (e+f x))}{16 f}","\frac{\sin ^4(e+f x) \cos (e+f x)}{f}",1,"Cos[e + f*x]/(8*f) - (3*Cos[3*(e + f*x)])/(16*f) + Cos[5*(e + f*x)]/(16*f)","B",1
5,1,31,18,0.0690231,"\int \sin ^2(e+f x) \left(3-4 \sin ^2(e+f x)\right) \, dx","Integrate[Sin[e + f*x]^2*(3 - 4*Sin[e + f*x]^2),x]","\frac{2 \sin (2 (e+f x))-\sin (4 (e+f x))+4 e}{8 f}","\frac{\sin ^3(e+f x) \cos (e+f x)}{f}",1,"(4*e + 2*Sin[2*(e + f*x)] - Sin[4*(e + f*x)])/(8*f)","A",1
6,1,51,18,0.0242226,"\int \sin (e+f x) \left(2-3 \sin ^2(e+f x)\right) \, dx","Integrate[Sin[e + f*x]*(2 - 3*Sin[e + f*x]^2),x]","\frac{2 \sin (e) \sin (f x)}{f}-\frac{2 \cos (e) \cos (f x)}{f}+\frac{9 \cos (e+f x)}{4 f}-\frac{\cos (3 (e+f x))}{4 f}","\frac{\sin ^2(e+f x) \cos (e+f x)}{f}",1,"(-2*Cos[e]*Cos[f*x])/f + (9*Cos[e + f*x])/(4*f) - Cos[3*(e + f*x)]/(4*f) + (2*Sin[e]*Sin[f*x])/f","B",1
7,1,33,16,0.0086048,"\int \left(1-2 \sin ^2(e+f x)\right) \, dx","Integrate[1 - 2*Sin[e + f*x]^2,x]","\frac{\sin (2 e) \cos (2 f x)}{2 f}+\frac{\cos (2 e) \sin (2 f x)}{2 f}","\frac{\sin (e+f x) \cos (e+f x)}{f}",1,"(Cos[2*f*x]*Sin[2*e])/(2*f) + (Cos[2*e]*Sin[2*f*x])/(2*f)","B",1
8,1,22,10,0.0071675,"\int -\sin (e+f x) \, dx","Integrate[-Sin[e + f*x],x]","\frac{\cos (e) \cos (f x)}{f}-\frac{\sin (e) \sin (f x)}{f}","\frac{\cos (e+f x)}{f}",1,"(Cos[e]*Cos[f*x])/f - (Sin[e]*Sin[f*x])/f","B",1
9,1,10,10,0.0152107,"\int -\csc ^2(e+f x) \, dx","Integrate[-Csc[e + f*x]^2,x]","\frac{\cot (e+f x)}{f}","\frac{\cot (e+f x)}{f}",1,"Cot[e + f*x]/f","A",1
10,1,107,16,0.0271853,"\int \csc ^3(e+f x) \left(-2+\sin ^2(e+f x)\right) \, dx","Integrate[Csc[e + f*x]^3*(-2 + Sin[e + f*x]^2),x]","\frac{\csc ^2\left(\frac{1}{2} (e+f x)\right)}{4 f}-\frac{\sec ^2\left(\frac{1}{2} (e+f x)\right)}{4 f}+\frac{\log \left(\sin \left(\frac{e}{2}+\frac{f x}{2}\right)\right)}{f}-\frac{\log \left(\sin \left(\frac{1}{2} (e+f x)\right)\right)}{f}-\frac{\log \left(\cos \left(\frac{e}{2}+\frac{f x}{2}\right)\right)}{f}+\frac{\log \left(\cos \left(\frac{1}{2} (e+f x)\right)\right)}{f}","\frac{\cot (e+f x) \csc (e+f x)}{f}",1,"Csc[(e + f*x)/2]^2/(4*f) - Log[Cos[e/2 + (f*x)/2]]/f + Log[Cos[(e + f*x)/2]]/f + Log[Sin[e/2 + (f*x)/2]]/f - Log[Sin[(e + f*x)/2]]/f - Sec[(e + f*x)/2]^2/(4*f)","B",1
11,1,18,18,0.0476807,"\int \csc ^4(e+f x) \left(-3+2 \sin ^2(e+f x)\right) \, dx","Integrate[Csc[e + f*x]^4*(-3 + 2*Sin[e + f*x]^2),x]","\frac{\cot (e+f x) \csc ^2(e+f x)}{f}","\frac{\cot (e+f x) \csc ^2(e+f x)}{f}",1,"(Cot[e + f*x]*Csc[e + f*x]^2)/f","A",1
12,1,39,18,0.0344789,"\int \csc ^5(e+f x) \left(-4+3 \sin ^2(e+f x)\right) \, dx","Integrate[Csc[e + f*x]^5*(-4 + 3*Sin[e + f*x]^2),x]","\frac{\csc ^4\left(\frac{1}{2} (e+f x)\right)}{16 f}-\frac{\sec ^4\left(\frac{1}{2} (e+f x)\right)}{16 f}","\frac{\cot (e+f x) \csc ^3(e+f x)}{f}",1,"Csc[(e + f*x)/2]^4/(16*f) - Sec[(e + f*x)/2]^4/(16*f)","B",1
13,1,385,171,2.5405013,"\int (a+a \sin (e+f x))^m \left(A+C \sin ^2(e+f x)\right) \, dx","Integrate[(a + a*Sin[e + f*x])^m*(A + C*Sin[e + f*x]^2),x]","-\frac{\sin ^{-2 m}\left(\frac{1}{4} (2 e+2 f x+\pi )\right) (a (\sin (e+f x)+1))^m \left(\frac{4 \sqrt{2} A \sin \left(\frac{1}{4} (2 e+2 f x-\pi )\right) \cos ^{2 m+1}\left(\frac{1}{4} (2 e+2 f x-\pi )\right) \, _2F_1\left(\frac{1}{2},m+\frac{1}{2};m+\frac{3}{2};\sin ^2\left(\frac{1}{4} (2 e+2 f x+\pi )\right)\right)}{(2 m+1) \sqrt{1-\sin (e+f x)}}+\frac{C 2^{-2 m-1} e^{-3 i (e+f x)} \left(1-i e^{i (e+f x)}\right) \left(-(-1)^{3/4} e^{-\frac{1}{2} i (e+f x)} \left(e^{i (e+f x)}+i\right)\right)^{2 m} \left((m-2) e^{4 i (e+f x)} \, _2F_1\left(1,m-1;-m-1;-i e^{-i (e+f x)}\right)+(m+2) \, _2F_1\left(1,m+3;3-m;-i e^{-i (e+f x)}\right)\right)}{m^2-4}+\frac{2 \sqrt{2} C \sin \left(\frac{1}{4} (2 e+2 f x-\pi )\right) \cos ^{2 m+1}\left(\frac{1}{4} (2 e+2 f x-\pi )\right) \, _2F_1\left(\frac{1}{2},m+\frac{1}{2};m+\frac{3}{2};\sin ^2\left(\frac{1}{4} (2 e+2 f x+\pi )\right)\right)}{(2 m+1) \sqrt{1-\sin (e+f x)}}\right)}{2 f}","-\frac{2^{m+\frac{1}{2}} \left(A \left(m^2+3 m+2\right)+C \left(m^2+m+1\right)\right) \cos (e+f x) (\sin (e+f x)+1)^{-m-\frac{1}{2}} (a \sin (e+f x)+a)^m \, _2F_1\left(\frac{1}{2},\frac{1}{2}-m;\frac{3}{2};\frac{1}{2} (1-\sin (e+f x))\right)}{f (m+1) (m+2)}+\frac{C \cos (e+f x) (a \sin (e+f x)+a)^m}{f \left(m^2+3 m+2\right)}-\frac{C \cos (e+f x) (a \sin (e+f x)+a)^{m+1}}{a f (m+2)}",1,"-1/2*((a*(1 + Sin[e + f*x]))^m*((2^(-1 - 2*m)*C*(1 - I*E^(I*(e + f*x)))*(-(((-1)^(3/4)*(I + E^(I*(e + f*x))))/E^((I/2)*(e + f*x))))^(2*m)*(E^((4*I)*(e + f*x))*(-2 + m)*Hypergeometric2F1[1, -1 + m, -1 - m, (-I)/E^(I*(e + f*x))] + (2 + m)*Hypergeometric2F1[1, 3 + m, 3 - m, (-I)/E^(I*(e + f*x))]))/(E^((3*I)*(e + f*x))*(-4 + m^2)) + (4*Sqrt[2]*A*Cos[(2*e - Pi + 2*f*x)/4]^(1 + 2*m)*Hypergeometric2F1[1/2, 1/2 + m, 3/2 + m, Sin[(2*e + Pi + 2*f*x)/4]^2]*Sin[(2*e - Pi + 2*f*x)/4])/((1 + 2*m)*Sqrt[1 - Sin[e + f*x]]) + (2*Sqrt[2]*C*Cos[(2*e - Pi + 2*f*x)/4]^(1 + 2*m)*Hypergeometric2F1[1/2, 1/2 + m, 3/2 + m, Sin[(2*e + Pi + 2*f*x)/4]^2]*Sin[(2*e - Pi + 2*f*x)/4])/((1 + 2*m)*Sqrt[1 - Sin[e + f*x]])))/(f*Sin[(2*e + Pi + 2*f*x)/4]^(2*m))","C",0
14,0,0,211,3.5639931,"\int (a+b \sin (e+f x))^m \left(A-A \sin ^2(e+f x)\right) \, dx","Integrate[(a + b*Sin[e + f*x])^m*(A - A*Sin[e + f*x]^2),x]","\int (a+b \sin (e+f x))^m \left(A-A \sin ^2(e+f x)\right) \, dx","\frac{4 \sqrt{2} A \cos (e+f x) (a+b \sin (e+f x))^m \left(\frac{a+b \sin (e+f x)}{a+b}\right)^{-m} F_1\left(\frac{1}{2};-\frac{3}{2},-m;\frac{3}{2};\frac{1}{2} (1-\sin (e+f x)),\frac{b (1-\sin (e+f x))}{a+b}\right)}{f \sqrt{\sin (e+f x)+1}}-\frac{4 \sqrt{2} A \cos (e+f x) (a+b \sin (e+f x))^m \left(\frac{a+b \sin (e+f x)}{a+b}\right)^{-m} F_1\left(\frac{1}{2};-\frac{1}{2},-m;\frac{3}{2};\frac{1}{2} (1-\sin (e+f x)),\frac{b (1-\sin (e+f x))}{a+b}\right)}{f \sqrt{\sin (e+f x)+1}}",1,"Integrate[(a + b*Sin[e + f*x])^m*(A - A*Sin[e + f*x]^2), x]","F",-1
15,0,0,286,13.2643066,"\int (a+b \sin (e+f x))^m \left(A+C \sin ^2(e+f x)\right) \, dx","Integrate[(a + b*Sin[e + f*x])^m*(A + C*Sin[e + f*x]^2),x]","\int (a+b \sin (e+f x))^m \left(A+C \sin ^2(e+f x)\right) \, dx","-\frac{\sqrt{2} \cos (e+f x) \left(a^2 C+b^2 (A (m+2)+C (m+1))\right) (a+b \sin (e+f x))^m \left(\frac{a+b \sin (e+f x)}{a+b}\right)^{-m} F_1\left(\frac{1}{2};\frac{1}{2},-m;\frac{3}{2};\frac{1}{2} (1-\sin (e+f x)),\frac{b (1-\sin (e+f x))}{a+b}\right)}{b^2 f (m+2) \sqrt{\sin (e+f x)+1}}+\frac{\sqrt{2} a C (a+b) \cos (e+f x) (a+b \sin (e+f x))^m \left(\frac{a+b \sin (e+f x)}{a+b}\right)^{-m} F_1\left(\frac{1}{2};\frac{1}{2},-m-1;\frac{3}{2};\frac{1}{2} (1-\sin (e+f x)),\frac{b (1-\sin (e+f x))}{a+b}\right)}{b^2 f (m+2) \sqrt{\sin (e+f x)+1}}-\frac{C \cos (e+f x) (a+b \sin (e+f x))^{m+1}}{b f (m+2)}",1,"Integrate[(a + b*Sin[e + f*x])^m*(A + C*Sin[e + f*x]^2), x]","F",-1
16,1,109,73,0.0331121,"\int \sin ^5(e+f x) \left(A+C \sin ^2(e+f x)\right) \, dx","Integrate[Sin[e + f*x]^5*(A + C*Sin[e + f*x]^2),x]","-\frac{5 A \cos (e+f x)}{8 f}+\frac{5 A \cos (3 (e+f x))}{48 f}-\frac{A \cos (5 (e+f x))}{80 f}-\frac{35 C \cos (e+f x)}{64 f}+\frac{7 C \cos (3 (e+f x))}{64 f}-\frac{7 C \cos (5 (e+f x))}{320 f}+\frac{C \cos (7 (e+f x))}{448 f}","-\frac{(A+3 C) \cos ^5(e+f x)}{5 f}+\frac{(2 A+3 C) \cos ^3(e+f x)}{3 f}-\frac{(A+C) \cos (e+f x)}{f}+\frac{C \cos ^7(e+f x)}{7 f}",1,"(-5*A*Cos[e + f*x])/(8*f) - (35*C*Cos[e + f*x])/(64*f) + (5*A*Cos[3*(e + f*x)])/(48*f) + (7*C*Cos[3*(e + f*x)])/(64*f) - (A*Cos[5*(e + f*x)])/(80*f) - (7*C*Cos[5*(e + f*x)])/(320*f) + (C*Cos[7*(e + f*x)])/(448*f)","A",1
17,1,525,184,5.2391109,"\int (a+a \sin (e+f x))^m \left(A+B \sin (e+f x)+C \sin ^2(e+f x)\right) \, dx","Integrate[(a + a*Sin[e + f*x])^m*(A + B*Sin[e + f*x] + C*Sin[e + f*x]^2),x]","-\frac{\sin ^{-2 m}\left(\frac{1}{4} (2 e+2 f x+\pi )\right) (a (\sin (e+f x)+1))^m \left(\frac{4 \sqrt{2} A \sin \left(\frac{1}{4} (2 e+2 f x-\pi )\right) \cos ^{2 m+1}\left(\frac{1}{4} (2 e+2 f x-\pi )\right) \, _2F_1\left(\frac{1}{2},m+\frac{1}{2};m+\frac{3}{2};\sin ^2\left(\frac{1}{4} (2 e+2 f x+\pi )\right)\right)}{(2 m+1) \sqrt{1-\sin (e+f x)}}+\frac{\sqrt[4]{-1} B 4^{-m} e^{-\frac{3}{2} i (e+f x)} \left(-(-1)^{3/4} e^{-\frac{1}{2} i (e+f x)} \left(e^{i (e+f x)}+i\right)\right)^{2 m+1} \left((m-1) e^{2 i (e+f x)} \, _2F_1\left(1,m;-m;-i e^{-i (e+f x)}\right)-(m+1) \, _2F_1\left(1,m+2;2-m;-i e^{-i (e+f x)}\right)\right)}{m^2-1}+\frac{C 2^{-2 m-1} e^{-3 i (e+f x)} \left(1-i e^{i (e+f x)}\right) \left(-(-1)^{3/4} e^{-\frac{1}{2} i (e+f x)} \left(e^{i (e+f x)}+i\right)\right)^{2 m} \left((m-2) e^{4 i (e+f x)} \, _2F_1\left(1,m-1;-m-1;-i e^{-i (e+f x)}\right)+(m+2) \, _2F_1\left(1,m+3;3-m;-i e^{-i (e+f x)}\right)\right)}{m^2-4}+\frac{2 \sqrt{2} C \sin \left(\frac{1}{4} (2 e+2 f x-\pi )\right) \cos ^{2 m+1}\left(\frac{1}{4} (2 e+2 f x-\pi )\right) \, _2F_1\left(\frac{1}{2},m+\frac{1}{2};m+\frac{3}{2};\sin ^2\left(\frac{1}{4} (2 e+2 f x+\pi )\right)\right)}{(2 m+1) \sqrt{1-\sin (e+f x)}}\right)}{2 f}","-\frac{2^{m+\frac{1}{2}} \left(A \left(m^2+3 m+2\right)+B m (m+2)+C \left(m^2+m+1\right)\right) \cos (e+f x) (\sin (e+f x)+1)^{-m-\frac{1}{2}} (a \sin (e+f x)+a)^m \, _2F_1\left(\frac{1}{2},\frac{1}{2}-m;\frac{3}{2};\frac{1}{2} (1-\sin (e+f x))\right)}{f (m+1) (m+2)}+\frac{(C-B (m+2)) \cos (e+f x) (a \sin (e+f x)+a)^m}{f (m+1) (m+2)}-\frac{C \cos (e+f x) (a \sin (e+f x)+a)^{m+1}}{a f (m+2)}",1,"-1/2*((a*(1 + Sin[e + f*x]))^m*(((-1)^(1/4)*B*(-(((-1)^(3/4)*(I + E^(I*(e + f*x))))/E^((I/2)*(e + f*x))))^(1 + 2*m)*(E^((2*I)*(e + f*x))*(-1 + m)*Hypergeometric2F1[1, m, -m, (-I)/E^(I*(e + f*x))] - (1 + m)*Hypergeometric2F1[1, 2 + m, 2 - m, (-I)/E^(I*(e + f*x))]))/(4^m*E^(((3*I)/2)*(e + f*x))*(-1 + m^2)) + (2^(-1 - 2*m)*C*(1 - I*E^(I*(e + f*x)))*(-(((-1)^(3/4)*(I + E^(I*(e + f*x))))/E^((I/2)*(e + f*x))))^(2*m)*(E^((4*I)*(e + f*x))*(-2 + m)*Hypergeometric2F1[1, -1 + m, -1 - m, (-I)/E^(I*(e + f*x))] + (2 + m)*Hypergeometric2F1[1, 3 + m, 3 - m, (-I)/E^(I*(e + f*x))]))/(E^((3*I)*(e + f*x))*(-4 + m^2)) + (4*Sqrt[2]*A*Cos[(2*e - Pi + 2*f*x)/4]^(1 + 2*m)*Hypergeometric2F1[1/2, 1/2 + m, 3/2 + m, Sin[(2*e + Pi + 2*f*x)/4]^2]*Sin[(2*e - Pi + 2*f*x)/4])/((1 + 2*m)*Sqrt[1 - Sin[e + f*x]]) + (2*Sqrt[2]*C*Cos[(2*e - Pi + 2*f*x)/4]^(1 + 2*m)*Hypergeometric2F1[1/2, 1/2 + m, 3/2 + m, Sin[(2*e + Pi + 2*f*x)/4]^2]*Sin[(2*e - Pi + 2*f*x)/4])/((1 + 2*m)*Sqrt[1 - Sin[e + f*x]])))/(f*Sin[(2*e + Pi + 2*f*x)/4]^(2*m))","C",0
18,0,0,215,12.5081454,"\int (a+b \sin (e+f x))^m \left(A+(A+C) \sin (e+f x)+C \sin ^2(e+f x)\right) \, dx","Integrate[(a + b*Sin[e + f*x])^m*(A + (A + C)*Sin[e + f*x] + C*Sin[e + f*x]^2),x]","\int (a+b \sin (e+f x))^m \left(A+(A+C) \sin (e+f x)+C \sin ^2(e+f x)\right) \, dx","-\frac{2 \sqrt{2} (A-C) \cos (e+f x) (a+b \sin (e+f x))^m \left(\frac{a+b \sin (e+f x)}{a+b}\right)^{-m} F_1\left(\frac{1}{2};-\frac{1}{2},-m;\frac{3}{2};\frac{1}{2} (1-\sin (e+f x)),\frac{b (1-\sin (e+f x))}{a+b}\right)}{f \sqrt{\sin (e+f x)+1}}-\frac{4 \sqrt{2} C \cos (e+f x) (a+b \sin (e+f x))^m \left(\frac{a+b \sin (e+f x)}{a+b}\right)^{-m} F_1\left(\frac{1}{2};-\frac{3}{2},-m;\frac{3}{2};\frac{1}{2} (1-\sin (e+f x)),\frac{b (1-\sin (e+f x))}{a+b}\right)}{f \sqrt{\sin (e+f x)+1}}",1,"Integrate[(a + b*Sin[e + f*x])^m*(A + (A + C)*Sin[e + f*x] + C*Sin[e + f*x]^2), x]","F",-1
19,0,0,304,13.0819017,"\int (a+b \sin (e+f x))^m \left(A+B \sin (e+f x)+C \sin ^2(e+f x)\right) \, dx","Integrate[(a + b*Sin[e + f*x])^m*(A + B*Sin[e + f*x] + C*Sin[e + f*x]^2),x]","\int (a+b \sin (e+f x))^m \left(A+B \sin (e+f x)+C \sin ^2(e+f x)\right) \, dx","-\frac{\sqrt{2} \cos (e+f x) \left(a^2 C-a b B (m+2)+A b^2 (m+2)+b^2 C (m+1)\right) (a+b \sin (e+f x))^m \left(\frac{a+b \sin (e+f x)}{a+b}\right)^{-m} F_1\left(\frac{1}{2};\frac{1}{2},-m;\frac{3}{2};\frac{1}{2} (1-\sin (e+f x)),\frac{b (1-\sin (e+f x))}{a+b}\right)}{b^2 f (m+2) \sqrt{\sin (e+f x)+1}}+\frac{\sqrt{2} (a+b) \cos (e+f x) (a C-b B (m+2)) (a+b \sin (e+f x))^m \left(\frac{a+b \sin (e+f x)}{a+b}\right)^{-m} F_1\left(\frac{1}{2};\frac{1}{2},-m-1;\frac{3}{2};\frac{1}{2} (1-\sin (e+f x)),\frac{b (1-\sin (e+f x))}{a+b}\right)}{b^2 f (m+2) \sqrt{\sin (e+f x)+1}}-\frac{C \cos (e+f x) (a+b \sin (e+f x))^{m+1}}{b f (m+2)}",1,"Integrate[(a + b*Sin[e + f*x])^m*(A + B*Sin[e + f*x] + C*Sin[e + f*x]^2), x]","F",-1