1,1,248,0,1.411321," ","integrate(sin(f*x+e)^m*(1+m-(2+m)*sin(f*x+e)^2),x, algorithm=""maxima"")","-\frac{{\left(\left(-1\right)^{\frac{1}{2} \, m} e^{\left(\frac{1}{2} \, m \log\left(\cos\left(f x + e\right)^{2} + \sin\left(f x + e\right)^{2} + 2 \, \cos\left(f x + e\right) + 1\right) + \frac{1}{2} \, m \log\left(\cos\left(f x + e\right)^{2} + \sin\left(f x + e\right)^{2} - 2 \, \cos\left(f x + e\right) + 1\right)\right)} \sin\left(-{\left(f x + e\right)} {\left(m + 2\right)} + m \arctan\left(\sin\left(f x + e\right), \cos\left(f x + e\right) + 1\right) - m \arctan\left(\sin\left(f x + e\right), -\cos\left(f x + e\right) + 1\right)\right) - \left(-1\right)^{\frac{1}{2} \, m} e^{\left(\frac{1}{2} \, m \log\left(\cos\left(f x + e\right)^{2} + \sin\left(f x + e\right)^{2} + 2 \, \cos\left(f x + e\right) + 1\right) + \frac{1}{2} \, m \log\left(\cos\left(f x + e\right)^{2} + \sin\left(f x + e\right)^{2} - 2 \, \cos\left(f x + e\right) + 1\right)\right)} \sin\left(-{\left(f x + e\right)} {\left(m - 2\right)} + m \arctan\left(\sin\left(f x + e\right), \cos\left(f x + e\right) + 1\right) - m \arctan\left(\sin\left(f x + e\right), -\cos\left(f x + e\right) + 1\right)\right)\right)} 2^{-m - 2}}{f}"," ",0,"-((-1)^(1/2*m)*e^(1/2*m*log(cos(f*x + e)^2 + sin(f*x + e)^2 + 2*cos(f*x + e) + 1) + 1/2*m*log(cos(f*x + e)^2 + sin(f*x + e)^2 - 2*cos(f*x + e) + 1))*sin(-(f*x + e)*(m + 2) + m*arctan2(sin(f*x + e), cos(f*x + e) + 1) - m*arctan2(sin(f*x + e), -cos(f*x + e) + 1)) - (-1)^(1/2*m)*e^(1/2*m*log(cos(f*x + e)^2 + sin(f*x + e)^2 + 2*cos(f*x + e) + 1) + 1/2*m*log(cos(f*x + e)^2 + sin(f*x + e)^2 - 2*cos(f*x + e) + 1))*sin(-(f*x + e)*(m - 2) + m*arctan2(sin(f*x + e), cos(f*x + e) + 1) - m*arctan2(sin(f*x + e), -cos(f*x + e) + 1)))*2^(-m - 2)/f","B",0
2,1,42,0,0.620773," ","integrate(sin(f*x+e)^5*(6-7*sin(f*x+e)^2),x, algorithm=""maxima"")","-\frac{\cos\left(f x + e\right)^{7} - 3 \, \cos\left(f x + e\right)^{5} + 3 \, \cos\left(f x + e\right)^{3} - \cos\left(f x + e\right)}{f}"," ",0,"-(cos(f*x + e)^7 - 3*cos(f*x + e)^5 + 3*cos(f*x + e)^3 - cos(f*x + e))/f","B",0
3,1,44,0,0.646639," ","integrate(sin(f*x+e)^4*(5-6*sin(f*x+e)^2),x, algorithm=""maxima"")","\frac{\tan\left(f x + e\right)^{5}}{{\left(\tan\left(f x + e\right)^{6} + 3 \, \tan\left(f x + e\right)^{4} + 3 \, \tan\left(f x + e\right)^{2} + 1\right)} f}"," ",0,"tan(f*x + e)^5/((tan(f*x + e)^6 + 3*tan(f*x + e)^4 + 3*tan(f*x + e)^2 + 1)*f)","B",0
4,1,29,0,0.618095," ","integrate(sin(f*x+e)^3*(4-5*sin(f*x+e)^2),x, algorithm=""maxima"")","\frac{\cos\left(f x + e\right)^{5} - 2 \, \cos\left(f x + e\right)^{3} + \cos\left(f x + e\right)}{f}"," ",0,"(cos(f*x + e)^5 - 2*cos(f*x + e)^3 + cos(f*x + e))/f","A",0
5,1,34,0,0.512738," ","integrate(sin(f*x+e)^2*(3-4*sin(f*x+e)^2),x, algorithm=""maxima"")","\frac{\tan\left(f x + e\right)^{3}}{{\left(\tan\left(f x + e\right)^{4} + 2 \, \tan\left(f x + e\right)^{2} + 1\right)} f}"," ",0,"tan(f*x + e)^3/((tan(f*x + e)^4 + 2*tan(f*x + e)^2 + 1)*f)","A",0
6,1,22,0,0.403010," ","integrate(sin(f*x+e)*(2-3*sin(f*x+e)^2),x, algorithm=""maxima"")","-\frac{\cos\left(f x + e\right)^{3} - \cos\left(f x + e\right)}{f}"," ",0,"-(cos(f*x + e)^3 - cos(f*x + e))/f","A",0
7,1,26,0,0.415543," ","integrate(1-2*sin(f*x+e)^2,x, algorithm=""maxima"")","x - \frac{2 \, f x + 2 \, e - \sin\left(2 \, f x + 2 \, e\right)}{2 \, f}"," ",0,"x - 1/2*(2*f*x + 2*e - sin(2*f*x + 2*e))/f","A",0
8,1,10,0,0.425108," ","integrate(-csc(f*x+e)*sin(f*x+e)^2,x, algorithm=""maxima"")","\frac{\cos\left(f x + e\right)}{f}"," ",0,"cos(f*x + e)/f","A",0
9,1,12,0,0.342459," ","integrate(-csc(f*x+e)^2,x, algorithm=""maxima"")","\frac{1}{f \tan\left(f x + e\right)}"," ",0,"1/(f*tan(f*x + e))","A",0
10,1,23,0,0.332503," ","integrate(csc(f*x+e)^3*(-2+sin(f*x+e)^2),x, algorithm=""maxima"")","-\frac{\cos\left(f x + e\right)}{{\left(\cos\left(f x + e\right)^{2} - 1\right)} f}"," ",0,"-cos(f*x + e)/((cos(f*x + e)^2 - 1)*f)","A",0
11,1,22,0,0.543684," ","integrate(csc(f*x+e)^4*(-3+2*sin(f*x+e)^2),x, algorithm=""maxima"")","\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
12,1,32,0,0.507039," ","integrate(csc(f*x+e)^5*(-4+3*sin(f*x+e)^2),x, algorithm=""maxima"")","\frac{\cos\left(f x + e\right)}{{\left(\cos\left(f x + e\right)^{4} - 2 \, \cos\left(f x + e\right)^{2} + 1\right)} f}"," ",0,"cos(f*x + e)/((cos(f*x + e)^4 - 2*cos(f*x + e)^2 + 1)*f)","A",0
13,0,0,0,0.000000," ","integrate((a+a*sin(f*x+e))^m*(A+C*sin(f*x+e)^2),x, algorithm=""maxima"")","\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=""maxima"")","-\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=""maxima"")","\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
16,1,60,0,0.609709," ","integrate(sin(f*x+e)^5*(A+C*sin(f*x+e)^2),x, algorithm=""maxima"")","\frac{15 \, C \cos\left(f x + e\right)^{7} - 21 \, {\left(A + 3 \, C\right)} \cos\left(f x + e\right)^{5} + 35 \, {\left(2 \, A + 3 \, C\right)} \cos\left(f x + e\right)^{3} - 105 \, {\left(A + C\right)} \cos\left(f x + e\right)}{105 \, f}"," ",0,"1/105*(15*C*cos(f*x + e)^7 - 21*(A + 3*C)*cos(f*x + e)^5 + 35*(2*A + 3*C)*cos(f*x + e)^3 - 105*(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=""maxima"")","\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=""maxima"")","\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=""maxima"")","\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
