1,0,0,0,0.000000," ","integrate(sin(f*x+e)^m*(1+m-(2+m)*sin(f*x+e)^2),x, algorithm=""giac"")","\int -{\left({\left(m + 2\right)} \sin\left(f x + e\right)^{2} - m - 1\right)} \sin\left(f x + e\right)^{m}\,{d x}"," ",0,"integrate(-((m + 2)*sin(f*x + e)^2 - m - 1)*sin(f*x + e)^m, x)","F",0
2,1,58,0,0.170495," ","integrate(sin(f*x+e)^5*(6-7*sin(f*x+e)^2),x, algorithm=""giac"")","-\frac{\cos\left(7 \, f x + 7 \, e\right)}{64 \, f} + \frac{5 \, \cos\left(5 \, f x + 5 \, e\right)}{64 \, f} - \frac{9 \, \cos\left(3 \, f x + 3 \, e\right)}{64 \, f} + \frac{5 \, \cos\left(f x + e\right)}{64 \, f}"," ",0,"-1/64*cos(7*f*x + 7*e)/f + 5/64*cos(5*f*x + 5*e)/f - 9/64*cos(3*f*x + 3*e)/f + 5/64*cos(f*x + e)/f","B",0
3,1,46,0,0.161333," ","integrate(sin(f*x+e)^4*(5-6*sin(f*x+e)^2),x, algorithm=""giac"")","\frac{\sin\left(6 \, f x + 6 \, e\right)}{32 \, f} - \frac{\sin\left(4 \, f x + 4 \, e\right)}{8 \, f} + \frac{5 \, \sin\left(2 \, f x + 2 \, e\right)}{32 \, f}"," ",0,"1/32*sin(6*f*x + 6*e)/f - 1/8*sin(4*f*x + 4*e)/f + 5/32*sin(2*f*x + 2*e)/f","B",0
4,1,39,0,0.156749," ","integrate(sin(f*x+e)^3*(4-5*sin(f*x+e)^2),x, algorithm=""giac"")","\frac{\cos\left(f x + e\right)^{5}}{f} - \frac{2 \, \cos\left(f x + e\right)^{3}}{f} + \frac{\cos\left(f x + e\right)}{f}"," ",0,"cos(f*x + e)^5/f - 2*cos(f*x + e)^3/f + cos(f*x + e)/f","B",0
5,1,31,0,0.212782," ","integrate(sin(f*x+e)^2*(3-4*sin(f*x+e)^2),x, algorithm=""giac"")","-\frac{\sin\left(4 \, f x + 4 \, e\right)}{8 \, f} + \frac{\sin\left(2 \, f x + 2 \, e\right)}{4 \, f}"," ",0,"-1/8*sin(4*f*x + 4*e)/f + 1/4*sin(2*f*x + 2*e)/f","A",0
6,1,26,0,0.139405," ","integrate(sin(f*x+e)*(2-3*sin(f*x+e)^2),x, algorithm=""giac"")","-\frac{\cos\left(f x + e\right)^{3}}{f} + \frac{\cos\left(f x + e\right)}{f}"," ",0,"-cos(f*x + e)^3/f + cos(f*x + e)/f","A",0
7,1,15,0,0.127054," ","integrate(1-2*sin(f*x+e)^2,x, algorithm=""giac"")","\frac{\sin\left(2 \, f x + 2 \, e\right)}{2 \, f}"," ",0,"1/2*sin(2*f*x + 2*e)/f","A",0
8,1,30,0,0.170780," ","integrate(-csc(f*x+e)*sin(f*x+e)^2,x, algorithm=""giac"")","-\frac{2}{f {\left(\frac{\cos\left(f x + e\right) - 1}{\cos\left(f x + e\right) + 1} - 1\right)}}"," ",0,"-2/(f*((cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 1))","B",0
9,1,13,0,0.157304," ","integrate(-csc(f*x+e)^2,x, algorithm=""giac"")","\frac{1}{f \tan\left(f x + e\right)}"," ",0,"1/(f*tan(f*x + e))","A",0
10,1,49,0,0.184713," ","integrate(csc(f*x+e)^3*(-2+sin(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{\cos\left(f x + e\right) + 1}{\cos\left(f x + e\right) - 1} - \frac{\cos\left(f x + e\right) - 1}{\cos\left(f x + e\right) + 1}}{4 \, f}"," ",0,"-1/4*((cos(f*x + e) + 1)/(cos(f*x + e) - 1) - (cos(f*x + e) - 1)/(cos(f*x + e) + 1))/f","B",0
11,1,24,0,0.166450," ","integrate(csc(f*x+e)^4*(-3+2*sin(f*x+e)^2),x, algorithm=""giac"")","\frac{\tan\left(f x + e\right)^{2} + 1}{f \tan\left(f x + e\right)^{3}}"," ",0,"(tan(f*x + e)^2 + 1)/(f*tan(f*x + e)^3)","A",0
12,1,98,0,0.175984," ","integrate(csc(f*x+e)^5*(-4+3*sin(f*x+e)^2),x, algorithm=""giac"")","-\frac{\frac{{\left(\frac{2 \, {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} - 1\right)} {\left(\cos\left(f x + e\right) + 1\right)}^{2}}{{\left(\cos\left(f x + e\right) - 1\right)}^{2}} - \frac{2 \, {\left(\cos\left(f x + e\right) - 1\right)}}{\cos\left(f x + e\right) + 1} + \frac{{\left(\cos\left(f x + e\right) - 1\right)}^{2}}{{\left(\cos\left(f x + e\right) + 1\right)}^{2}}}{16 \, f}"," ",0,"-1/16*((2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) - 1)*(cos(f*x + e) + 1)^2/(cos(f*x + e) - 1)^2 - 2*(cos(f*x + e) - 1)/(cos(f*x + e) + 1) + (cos(f*x + e) - 1)^2/(cos(f*x + e) + 1)^2)/f","B",0
13,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2),x, algorithm=""giac"")","\int {\left(C \sin\left(f x + e\right)^{2} + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((C*sin(f*x + e)^2 + A)*(a*sin(f*x + e) + a)^m, x)","F",0
14,0,0,0,0.000000," ","integrate((a+b*sin(f*x+e))^m*(A-A*sin(f*x+e)^2),x, algorithm=""giac"")","\int -{\left(A \sin\left(f x + e\right)^{2} - A\right)} {\left(b \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate(-(A*sin(f*x + e)^2 - A)*(b*sin(f*x + e) + a)^m, x)","F",0
15,0,0,0,0.000000," ","integrate((a+b*sin(f*x+e))^m*(A+C*sin(f*x+e)^2),x, algorithm=""giac"")","\int {\left(C \sin\left(f x + e\right)^{2} + A\right)} {\left(b \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((C*sin(f*x + e)^2 + A)*(b*sin(f*x + e) + a)^m, x)","F",0
16,1,97,0,0.167818," ","integrate(sin(f*x+e)^5*(A+C*sin(f*x+e)^2),x, algorithm=""giac"")","\frac{C \cos\left(7 \, f x + 7 \, e\right)}{448 \, f} - \frac{{\left(4 \, A + 7 \, C\right)} \cos\left(5 \, f x + 5 \, e\right)}{320 \, f} + \frac{{\left(20 \, A + 21 \, C\right)} \cos\left(3 \, f x + 3 \, e\right)}{192 \, f} - \frac{{\left(16 \, A + 23 \, C\right)} \cos\left(f x + e\right)}{64 \, f} - \frac{3 \, {\left(2 \, A + C\right)} \cos\left(f x + e\right)}{16 \, f}"," ",0,"1/448*C*cos(7*f*x + 7*e)/f - 1/320*(4*A + 7*C)*cos(5*f*x + 5*e)/f + 1/192*(20*A + 21*C)*cos(3*f*x + 3*e)/f - 1/64*(16*A + 23*C)*cos(f*x + e)/f - 3/16*(2*A + C)*cos(f*x + e)/f","A",0
17,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x, algorithm=""giac"")","\int {\left(C \sin\left(f x + e\right)^{2} + B \sin\left(f x + e\right) + A\right)} {\left(a \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((C*sin(f*x + e)^2 + B*sin(f*x + e) + A)*(a*sin(f*x + e) + a)^m, x)","F",0
18,0,0,0,0.000000," ","integrate((a+b*sin(f*x+e))^m*(A+(A+C)*sin(f*x+e)+C*sin(f*x+e)^2),x, algorithm=""giac"")","\int {\left(C \sin\left(f x + e\right)^{2} + {\left(A + C\right)} \sin\left(f x + e\right) + A\right)} {\left(b \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((C*sin(f*x + e)^2 + (A + C)*sin(f*x + e) + A)*(b*sin(f*x + e) + a)^m, x)","F",0
19,0,0,0,0.000000," ","integrate((a+b*sin(f*x+e))^m*(A+B*sin(f*x+e)+C*sin(f*x+e)^2),x, algorithm=""giac"")","\int {\left(C \sin\left(f x + e\right)^{2} + B \sin\left(f x + e\right) + A\right)} {\left(b \sin\left(f x + e\right) + a\right)}^{m}\,{d x}"," ",0,"integrate((C*sin(f*x + e)^2 + B*sin(f*x + e) + A)*(b*sin(f*x + e) + a)^m, x)","F",0
