1,1,20,12,0.043000," ","int(csc(b*x+a),x)","-\frac{\ln \left(\csc \left(b x +a \right)+\cot \left(b x +a \right)\right)}{b}"," ",0,"-1/b*ln(csc(b*x+a)+cot(b*x+a))","A"
2,1,12,11,0.821000," ","int(csc(b*x+a)^2,x)","-\frac{\cot \left(b x +a \right)}{b}"," ",0,"-cot(b*x+a)/b","A"
3,1,40,30,0.850000," ","int(csc(b*x+a)^3,x)","-\frac{\cot \left(b x +a \right) \csc \left(b x +a \right)}{2 b}+\frac{\ln \left(\csc \left(b x +a \right)-\cot \left(b x +a \right)\right)}{2 b}"," ",0,"-1/2*cot(b*x+a)*csc(b*x+a)/b+1/2/b*ln(csc(b*x+a)-cot(b*x+a))","A"
4,1,23,25,0.870000," ","int(csc(b*x+a)^4,x)","\frac{\left(-\frac{2}{3}-\frac{\left(\csc^{2}\left(b x +a \right)\right)}{3}\right) \cot \left(b x +a \right)}{b}"," ",0,"1/b*(-2/3-1/3*csc(b*x+a)^2)*cot(b*x+a)","A"
5,1,59,49,0.832000," ","int(csc(b*x+a)^5,x)","-\frac{\cot \left(b x +a \right) \left(\csc^{3}\left(b x +a \right)\right)}{4 b}-\frac{3 \cot \left(b x +a \right) \csc \left(b x +a \right)}{8 b}+\frac{3 \ln \left(\csc \left(b x +a \right)-\cot \left(b x +a \right)\right)}{8 b}"," ",0,"-1/4*cot(b*x+a)*csc(b*x+a)^3/b-3/8*cot(b*x+a)*csc(b*x+a)/b+3/8/b*ln(csc(b*x+a)-cot(b*x+a))","A"
6,1,33,38,0.787000," ","int(csc(b*x+a)^6,x)","\frac{\left(-\frac{8}{15}-\frac{\left(\csc^{4}\left(b x +a \right)\right)}{5}-\frac{4 \left(\csc^{2}\left(b x +a \right)\right)}{15}\right) \cot \left(b x +a \right)}{b}"," ",0,"1/b*(-8/15-1/5*csc(b*x+a)^4-4/15*csc(b*x+a)^2)*cot(b*x+a)","A"
7,1,78,68,0.782000," ","int(csc(b*x+a)^7,x)","-\frac{\cot \left(b x +a \right) \left(\csc^{5}\left(b x +a \right)\right)}{6 b}-\frac{5 \cot \left(b x +a \right) \left(\csc^{3}\left(b x +a \right)\right)}{24 b}-\frac{5 \cot \left(b x +a \right) \csc \left(b x +a \right)}{16 b}+\frac{5 \ln \left(\csc \left(b x +a \right)-\cot \left(b x +a \right)\right)}{16 b}"," ",0,"-1/6*cot(b*x+a)*csc(b*x+a)^5/b-5/24*cot(b*x+a)*csc(b*x+a)^3/b-5/16*cot(b*x+a)*csc(b*x+a)/b+5/16/b*ln(csc(b*x+a)-cot(b*x+a))","A"
8,1,43,51,0.795000," ","int(csc(b*x+a)^8,x)","\frac{\left(-\frac{16}{35}-\frac{\left(\csc^{6}\left(b x +a \right)\right)}{7}-\frac{6 \left(\csc^{4}\left(b x +a \right)\right)}{35}-\frac{8 \left(\csc^{2}\left(b x +a \right)\right)}{35}\right) \cot \left(b x +a \right)}{b}"," ",0,"1/b*(-16/35-1/7*csc(b*x+a)^6-6/35*csc(b*x+a)^4-8/35*csc(b*x+a)^2)*cot(b*x+a)","A"
9,1,160,106,2.890000," ","int(csc(b*x+a)^(7/2),x)","\frac{6 \sqrt{\sin \left(b x +a \right)+1}\, \sqrt{-2 \sin \left(b x +a \right)+2}\, \sqrt{-\sin \left(b x +a \right)}\, \left(\sin^{2}\left(b x +a \right)\right) \EllipticE \left(\sqrt{\sin \left(b x +a \right)+1}, \frac{\sqrt{2}}{2}\right)-3 \sqrt{\sin \left(b x +a \right)+1}\, \sqrt{-2 \sin \left(b x +a \right)+2}\, \sqrt{-\sin \left(b x +a \right)}\, \left(\sin^{2}\left(b x +a \right)\right) \EllipticF \left(\sqrt{\sin \left(b x +a \right)+1}, \frac{\sqrt{2}}{2}\right)+6 \left(\sin^{4}\left(b x +a \right)\right)-4 \left(\sin^{2}\left(b x +a \right)\right)-2}{5 \sin \left(b x +a \right)^{\frac{5}{2}} \cos \left(b x +a \right) b}"," ",0,"1/5/sin(b*x+a)^(5/2)*(6*(sin(b*x+a)+1)^(1/2)*(-2*sin(b*x+a)+2)^(1/2)*(-sin(b*x+a))^(1/2)*sin(b*x+a)^2*EllipticE((sin(b*x+a)+1)^(1/2),1/2*2^(1/2))-3*(sin(b*x+a)+1)^(1/2)*(-2*sin(b*x+a)+2)^(1/2)*(-sin(b*x+a))^(1/2)*sin(b*x+a)^2*EllipticF((sin(b*x+a)+1)^(1/2),1/2*2^(1/2))+6*sin(b*x+a)^4-4*sin(b*x+a)^2-2)/cos(b*x+a)/b","A"
10,1,88,87,2.427000," ","int(csc(b*x+a)^(5/2),x)","\frac{\sqrt{\sin \left(b x +a \right)+1}\, \sqrt{-2 \sin \left(b x +a \right)+2}\, \sqrt{-\sin \left(b x +a \right)}\, \EllipticF \left(\sqrt{\sin \left(b x +a \right)+1}, \frac{\sqrt{2}}{2}\right) \sin \left(b x +a \right)-2 \left(\cos^{2}\left(b x +a \right)\right)}{3 \sin \left(b x +a \right)^{\frac{3}{2}} \cos \left(b x +a \right) b}"," ",0,"1/3/sin(b*x+a)^(3/2)*((sin(b*x+a)+1)^(1/2)*(-2*sin(b*x+a)+2)^(1/2)*(-sin(b*x+a))^(1/2)*EllipticF((sin(b*x+a)+1)^(1/2),1/2*2^(1/2))*sin(b*x+a)-2*cos(b*x+a)^2)/cos(b*x+a)/b","A"
11,1,132,87,3.184000," ","int(csc(b*x+a)^(3/2),x)","\frac{2 \sqrt{\sin \left(b x +a \right)+1}\, \sqrt{-2 \sin \left(b x +a \right)+2}\, \sqrt{-\sin \left(b x +a \right)}\, \EllipticE \left(\sqrt{\sin \left(b x +a \right)+1}, \frac{\sqrt{2}}{2}\right)-\sqrt{\sin \left(b x +a \right)+1}\, \sqrt{-2 \sin \left(b x +a \right)+2}\, \sqrt{-\sin \left(b x +a \right)}\, \EllipticF \left(\sqrt{\sin \left(b x +a \right)+1}, \frac{\sqrt{2}}{2}\right)-2 \left(\cos^{2}\left(b x +a \right)\right)}{\cos \left(b x +a \right) \sqrt{\sin \left(b x +a \right)}\, b}"," ",0,"(2*(sin(b*x+a)+1)^(1/2)*(-2*sin(b*x+a)+2)^(1/2)*(-sin(b*x+a))^(1/2)*EllipticE((sin(b*x+a)+1)^(1/2),1/2*2^(1/2))-(sin(b*x+a)+1)^(1/2)*(-2*sin(b*x+a)+2)^(1/2)*(-sin(b*x+a))^(1/2)*EllipticF((sin(b*x+a)+1)^(1/2),1/2*2^(1/2))-2*cos(b*x+a)^2)/cos(b*x+a)/sin(b*x+a)^(1/2)/b","A"
12,1,69,67,1.760000," ","int(csc(b*x+a)^(1/2),x)","\frac{\sqrt{\sin \left(b x +a \right)+1}\, \sqrt{-2 \sin \left(b x +a \right)+2}\, \sqrt{-\sin \left(b x +a \right)}\, \EllipticF \left(\sqrt{\sin \left(b x +a \right)+1}, \frac{\sqrt{2}}{2}\right)}{\cos \left(b x +a \right) \sqrt{\sin \left(b x +a \right)}\, b}"," ",0,"(sin(b*x+a)+1)^(1/2)*(-2*sin(b*x+a)+2)^(1/2)*(-sin(b*x+a))^(1/2)*EllipticF((sin(b*x+a)+1)^(1/2),1/2*2^(1/2))/cos(b*x+a)/sin(b*x+a)^(1/2)/b","A"
13,1,91,67,2.648000," ","int(1/csc(b*x+a)^(1/2),x)","-\frac{\sqrt{\sin \left(b x +a \right)+1}\, \sqrt{-2 \sin \left(b x +a \right)+2}\, \sqrt{-\sin \left(b x +a \right)}\, \left(2 \EllipticE \left(\sqrt{\sin \left(b x +a \right)+1}, \frac{\sqrt{2}}{2}\right)-\EllipticF \left(\sqrt{\sin \left(b x +a \right)+1}, \frac{\sqrt{2}}{2}\right)\right)}{\cos \left(b x +a \right) \sqrt{\sin \left(b x +a \right)}\, b}"," ",0,"-(sin(b*x+a)+1)^(1/2)*(-2*sin(b*x+a)+2)^(1/2)*(-sin(b*x+a))^(1/2)*(2*EllipticE((sin(b*x+a)+1)^(1/2),1/2*2^(1/2))-EllipticF((sin(b*x+a)+1)^(1/2),1/2*2^(1/2)))/cos(b*x+a)/sin(b*x+a)^(1/2)/b","A"
14,1,88,87,2.203000," ","int(1/csc(b*x+a)^(3/2),x)","\frac{\frac{\sqrt{\sin \left(b x +a \right)+1}\, \sqrt{-2 \sin \left(b x +a \right)+2}\, \sqrt{-\sin \left(b x +a \right)}\, \EllipticF \left(\sqrt{\sin \left(b x +a \right)+1}, \frac{\sqrt{2}}{2}\right)}{3}-\frac{2 \left(\cos^{2}\left(b x +a \right)\right) \sin \left(b x +a \right)}{3}}{\cos \left(b x +a \right) \sqrt{\sin \left(b x +a \right)}\, b}"," ",0,"(1/3*(sin(b*x+a)+1)^(1/2)*(-2*sin(b*x+a)+2)^(1/2)*(-sin(b*x+a))^(1/2)*EllipticF((sin(b*x+a)+1)^(1/2),1/2*2^(1/2))-2/3*cos(b*x+a)^2*sin(b*x+a))/cos(b*x+a)/sin(b*x+a)^(1/2)/b","A"
15,1,142,87,2.533000," ","int(1/csc(b*x+a)^(5/2),x)","\frac{\frac{2 \left(\sin^{4}\left(b x +a \right)\right)}{5}-\frac{2 \left(\sin^{2}\left(b x +a \right)\right)}{5}-\frac{6 \sqrt{\sin \left(b x +a \right)+1}\, \sqrt{-2 \sin \left(b x +a \right)+2}\, \sqrt{-\sin \left(b x +a \right)}\, \EllipticE \left(\sqrt{\sin \left(b x +a \right)+1}, \frac{\sqrt{2}}{2}\right)}{5}+\frac{3 \sqrt{\sin \left(b x +a \right)+1}\, \sqrt{-2 \sin \left(b x +a \right)+2}\, \sqrt{-\sin \left(b x +a \right)}\, \EllipticF \left(\sqrt{\sin \left(b x +a \right)+1}, \frac{\sqrt{2}}{2}\right)}{5}}{\cos \left(b x +a \right) \sqrt{\sin \left(b x +a \right)}\, b}"," ",0,"(2/5*sin(b*x+a)^4-2/5*sin(b*x+a)^2-6/5*(sin(b*x+a)+1)^(1/2)*(-2*sin(b*x+a)+2)^(1/2)*(-sin(b*x+a))^(1/2)*EllipticE((sin(b*x+a)+1)^(1/2),1/2*2^(1/2))+3/5*(sin(b*x+a)+1)^(1/2)*(-2*sin(b*x+a)+2)^(1/2)*(-sin(b*x+a))^(1/2)*EllipticF((sin(b*x+a)+1)^(1/2),1/2*2^(1/2)))/cos(b*x+a)/sin(b*x+a)^(1/2)/b","A"
16,1,104,106,2.204000," ","int(1/csc(b*x+a)^(7/2),x)","\frac{\frac{2 \left(\cos^{4}\left(b x +a \right)\right) \sin \left(b x +a \right)}{7}+\frac{5 \sqrt{\sin \left(b x +a \right)+1}\, \sqrt{-2 \sin \left(b x +a \right)+2}\, \sqrt{-\sin \left(b x +a \right)}\, \EllipticF \left(\sqrt{\sin \left(b x +a \right)+1}, \frac{\sqrt{2}}{2}\right)}{21}-\frac{16 \left(\cos^{2}\left(b x +a \right)\right) \sin \left(b x +a \right)}{21}}{\cos \left(b x +a \right) \sqrt{\sin \left(b x +a \right)}\, b}"," ",0,"(2/7*cos(b*x+a)^4*sin(b*x+a)+5/21*(sin(b*x+a)+1)^(1/2)*(-2*sin(b*x+a)+2)^(1/2)*(-sin(b*x+a))^(1/2)*EllipticF((sin(b*x+a)+1)^(1/2),1/2*2^(1/2))-16/21*cos(b*x+a)^2*sin(b*x+a))/cos(b*x+a)/sin(b*x+a)^(1/2)/b","A"
17,1,1028,119,1.230000," ","int((c*csc(b*x+a))^(7/2),x)","-\frac{\left(6 \left(\cos^{3}\left(b x +a \right)\right) \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}-3 \left(\cos^{3}\left(b x +a \right)\right) \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right)+6 \left(\cos^{2}\left(b x +a \right)\right) \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}-3 \left(\cos^{2}\left(b x +a \right)\right) \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}-6 \cos \left(b x +a \right) \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}+3 \cos \left(b x +a \right) \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}-6 \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}+3 \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}-3 \left(\cos^{2}\left(b x +a \right)\right) \sqrt{2}+\cos \left(b x +a \right) \sqrt{2}+3 \sqrt{2}\right) \sin \left(b x +a \right) \left(\frac{c}{\sin \left(b x +a \right)}\right)^{\frac{7}{2}} \sqrt{2}}{5 b}"," ",0,"-1/5/b*(6*cos(b*x+a)^3*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticE(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)-3*cos(b*x+a)^3*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)*EllipticF(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))+6*cos(b*x+a)^2*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticE(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)-3*cos(b*x+a)^2*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticF(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)-6*cos(b*x+a)*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticE(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)+3*cos(b*x+a)*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticF(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)-6*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticE(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)+3*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticF(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)-3*cos(b*x+a)^2*2^(1/2)+cos(b*x+a)*2^(1/2)+3*2^(1/2))*sin(b*x+a)*(c/sin(b*x+a))^(7/2)*2^(1/2)","C"
18,1,313,95,1.035000," ","int((c*csc(b*x+a))^(5/2),x)","\frac{\left(-1+\cos \left(b x +a \right)\right)^{2} \left(i \cos \left(b x +a \right) \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}\, \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sin \left(b x +a \right) \EllipticF \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right)+i \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}\, \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sin \left(b x +a \right) \EllipticF \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right)-\cos \left(b x +a \right) \sqrt{2}\right) \left(\cos \left(b x +a \right)+1\right)^{2} \left(\frac{c}{\sin \left(b x +a \right)}\right)^{\frac{5}{2}} \sqrt{2}}{3 b \sin \left(b x +a \right)^{3}}"," ",0,"1/3/b*(-1+cos(b*x+a))^2*(I*cos(b*x+a)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*sin(b*x+a)*EllipticF(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))+I*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*sin(b*x+a)*EllipticF(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))-cos(b*x+a)*2^(1/2))*(cos(b*x+a)+1)^2*(c/sin(b*x+a))^(5/2)/sin(b*x+a)^3*2^(1/2)","C"
19,1,505,95,1.175000," ","int((c*csc(b*x+a))^(3/2),x)","-\frac{\left(-2 \cos \left(b x +a \right) \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}+\cos \left(b x +a \right) \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}-2 \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}+\sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}+\sqrt{2}\right) \left(\frac{c}{\sin \left(b x +a \right)}\right)^{\frac{3}{2}} \sin \left(b x +a \right) \sqrt{2}}{b}"," ",0,"-1/b*(-2*cos(b*x+a)*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticE(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)+cos(b*x+a)*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticF(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)-2*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticE(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)+(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticF(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)+2^(1/2))*(c/sin(b*x+a))^(3/2)*sin(b*x+a)*2^(1/2)","C"
20,1,165,69,1.223000," ","int((c*csc(b*x+a))^(1/2),x)","-\frac{i \sqrt{2}\, \sqrt{\frac{c}{\sin \left(b x +a \right)}}\, \left(-1+\cos \left(b x +a \right)\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}\, \sqrt{-\frac{i \cos \left(b x +a \right)-i-\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}\, \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \left(\cos \left(b x +a \right)+1\right)^{2}}{b \sin \left(b x +a \right)^{2}}"," ",0,"-I/b*2^(1/2)*(c/sin(b*x+a))^(1/2)*(-1+cos(b*x+a))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)*(-(I*cos(b*x+a)-I-sin(b*x+a))/sin(b*x+a))^(1/2)*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*EllipticF(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))/sin(b*x+a)^2*(cos(b*x+a)+1)^2","C"
21,1,533,69,1.070000," ","int(1/(c*csc(b*x+a))^(1/2),x)","-\frac{\left(2 \cos \left(b x +a \right) \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{-\frac{i \cos \left(b x +a \right)-i-\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}-\cos \left(b x +a \right) \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{-\frac{i \cos \left(b x +a \right)-i-\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}+2 \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}\, \sqrt{-\frac{i \cos \left(b x +a \right)-i-\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right)-\sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}\, \sqrt{-\frac{i \cos \left(b x +a \right)-i-\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right)+\cos \left(b x +a \right) \sqrt{2}-\sqrt{2}\right) \sqrt{2}}{b \sqrt{\frac{c}{\sin \left(b x +a \right)}}\, \sin \left(b x +a \right)}"," ",0,"-1/b*(2*cos(b*x+a)*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*(-(I*cos(b*x+a)-I-sin(b*x+a))/sin(b*x+a))^(1/2)*EllipticE(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)-cos(b*x+a)*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*(-(I*cos(b*x+a)-I-sin(b*x+a))/sin(b*x+a))^(1/2)*EllipticF(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)+2*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)*(-(I*cos(b*x+a)-I-sin(b*x+a))/sin(b*x+a))^(1/2)*EllipticE(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))-(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)*(-(I*cos(b*x+a)-I-sin(b*x+a))/sin(b*x+a))^(1/2)*EllipticF(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))+cos(b*x+a)*2^(1/2)-2^(1/2))/(c/sin(b*x+a))^(1/2)/sin(b*x+a)*2^(1/2)","C"
22,1,186,97,0.842000," ","int(1/(c*csc(b*x+a))^(3/2),x)","-\frac{\left(i \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}\, \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sin \left(b x +a \right) \EllipticF \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right)+\left(\cos^{2}\left(b x +a \right)\right) \sqrt{2}-\cos \left(b x +a \right) \sqrt{2}\right) \sqrt{2}}{3 b \left(-1+\cos \left(b x +a \right)\right) \left(\frac{c}{\sin \left(b x +a \right)}\right)^{\frac{3}{2}} \sin \left(b x +a \right)}"," ",0,"-1/3/b*(I*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*sin(b*x+a)*EllipticF(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))+cos(b*x+a)^2*2^(1/2)-cos(b*x+a)*2^(1/2))/(-1+cos(b*x+a))/(c/sin(b*x+a))^(3/2)/sin(b*x+a)*2^(1/2)","C"
23,1,534,97,0.852000," ","int(1/(c*csc(b*x+a))^(5/2),x)","\frac{\left(-6 \cos \left(b x +a \right) \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}+3 \cos \left(b x +a \right) \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}+\left(\cos^{3}\left(b x +a \right)\right) \sqrt{2}-6 \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}+3 \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}-4 \cos \left(b x +a \right) \sqrt{2}+3 \sqrt{2}\right) \sqrt{2}}{5 b \left(\frac{c}{\sin \left(b x +a \right)}\right)^{\frac{5}{2}} \sin \left(b x +a \right)^{3}}"," ",0,"1/5/b*(-6*cos(b*x+a)*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticE(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)+3*cos(b*x+a)*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticF(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)+cos(b*x+a)^3*2^(1/2)-6*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticE(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)+3*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticF(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)-4*cos(b*x+a)*2^(1/2)+3*2^(1/2))/(c/sin(b*x+a))^(5/2)/sin(b*x+a)^3*2^(1/2)","C"
24,1,213,121,0.849000," ","int(1/(c*csc(b*x+a))^(7/2),x)","-\frac{\left(5 i \sqrt{\frac{-i \cos \left(b x +a \right)+\sin \left(b x +a \right)+i}{\sin \left(b x +a \right)}}\, \sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}\, \sqrt{-\frac{i \left(-1+\cos \left(b x +a \right)\right)}{\sin \left(b x +a \right)}}\, \sin \left(b x +a \right) \EllipticF \left(\sqrt{\frac{i \cos \left(b x +a \right)-i+\sin \left(b x +a \right)}{\sin \left(b x +a \right)}}, \frac{\sqrt{2}}{2}\right)-3 \left(\cos^{4}\left(b x +a \right)\right) \sqrt{2}+3 \left(\cos^{3}\left(b x +a \right)\right) \sqrt{2}+8 \left(\cos^{2}\left(b x +a \right)\right) \sqrt{2}-8 \cos \left(b x +a \right) \sqrt{2}\right) \sqrt{2}}{21 b \left(-1+\cos \left(b x +a \right)\right) \left(\frac{c}{\sin \left(b x +a \right)}\right)^{\frac{7}{2}} \sin \left(b x +a \right)^{3}}"," ",0,"-1/21/b*(5*I*((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2)*((-I*cos(b*x+a)+sin(b*x+a)+I)/sin(b*x+a))^(1/2)*EllipticF(((I*cos(b*x+a)-I+sin(b*x+a))/sin(b*x+a))^(1/2),1/2*2^(1/2))*sin(b*x+a)*(-I*(-1+cos(b*x+a))/sin(b*x+a))^(1/2)-3*cos(b*x+a)^4*2^(1/2)+3*cos(b*x+a)^3*2^(1/2)+8*cos(b*x+a)^2*2^(1/2)-8*cos(b*x+a)*2^(1/2))/(-1+cos(b*x+a))/(c/sin(b*x+a))^(7/2)/sin(b*x+a)^3*2^(1/2)","C"
25,0,0,43,0.649000," ","int(csc(b*x+a)^(4/3),x)","\int \csc^{\frac{4}{3}}\left(b x +a \right)\, dx"," ",0,"int(csc(b*x+a)^(4/3),x)","F"
26,0,0,43,0.712000," ","int(csc(b*x+a)^(2/3),x)","\int \csc^{\frac{2}{3}}\left(b x +a \right)\, dx"," ",0,"int(csc(b*x+a)^(2/3),x)","F"
27,0,0,43,0.951000," ","int(csc(b*x+a)^(1/3),x)","\int \csc^{\frac{1}{3}}\left(b x +a \right)\, dx"," ",0,"int(csc(b*x+a)^(1/3),x)","F"
28,0,0,43,0.779000," ","int(1/csc(b*x+a)^(1/3),x)","\int \frac{1}{\csc \left(b x +a \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/csc(b*x+a)^(1/3),x)","F"
29,0,0,43,0.773000," ","int(1/csc(b*x+a)^(2/3),x)","\int \frac{1}{\csc \left(b x +a \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/csc(b*x+a)^(2/3),x)","F"
30,0,0,43,0.611000," ","int(1/csc(b*x+a)^(4/3),x)","\int \frac{1}{\csc \left(b x +a \right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/csc(b*x+a)^(4/3),x)","F"
31,0,0,46,0.577000," ","int((c*csc(b*x+a))^(4/3),x)","\int \left(c \csc \left(b x +a \right)\right)^{\frac{4}{3}}\, dx"," ",0,"int((c*csc(b*x+a))^(4/3),x)","F"
32,0,0,46,0.651000," ","int((c*csc(b*x+a))^(2/3),x)","\int \left(c \csc \left(b x +a \right)\right)^{\frac{2}{3}}\, dx"," ",0,"int((c*csc(b*x+a))^(2/3),x)","F"
33,0,0,46,0.753000," ","int((c*csc(b*x+a))^(1/3),x)","\int \left(c \csc \left(b x +a \right)\right)^{\frac{1}{3}}\, dx"," ",0,"int((c*csc(b*x+a))^(1/3),x)","F"
34,0,0,46,0.642000," ","int(1/(c*csc(b*x+a))^(1/3),x)","\int \frac{1}{\left(c \csc \left(b x +a \right)\right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(c*csc(b*x+a))^(1/3),x)","F"
35,0,0,46,0.630000," ","int(1/(c*csc(b*x+a))^(2/3),x)","\int \frac{1}{\left(c \csc \left(b x +a \right)\right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(c*csc(b*x+a))^(2/3),x)","F"
36,0,0,46,0.523000," ","int(1/(c*csc(b*x+a))^(4/3),x)","\int \frac{1}{\left(c \csc \left(b x +a \right)\right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(c*csc(b*x+a))^(4/3),x)","F"
37,0,0,59,2.652000," ","int(csc(b*x+a)^n,x)","\int \csc^{n}\left(b x +a \right)\, dx"," ",0,"int(csc(b*x+a)^n,x)","F"
38,0,0,62,2.620000," ","int((c*csc(b*x+a))^n,x)","\int \left(c \csc \left(b x +a \right)\right)^{n}\, dx"," ",0,"int((c*csc(b*x+a))^n,x)","F"
39,1,101,36,0.447000," ","int((csc(x)^2)^(7/2),x)","-\frac{\left(15 \left(\cos^{6}\left(x \right)\right) \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)+15 \left(\cos^{5}\left(x \right)\right)-45 \left(\cos^{4}\left(x \right)\right) \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)-40 \left(\cos^{3}\left(x \right)\right)+45 \left(\cos^{2}\left(x \right)\right) \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)+33 \cos \left(x \right)-15 \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)\right) \sin \left(x \right) \left(-\frac{1}{-1+\cos^{2}\left(x \right)}\right)^{\frac{7}{2}} \sqrt{4}}{96}"," ",0,"-1/96*(15*cos(x)^6*ln(-(-1+cos(x))/sin(x))+15*cos(x)^5-45*cos(x)^4*ln(-(-1+cos(x))/sin(x))-40*cos(x)^3+45*cos(x)^2*ln(-(-1+cos(x))/sin(x))+33*cos(x)-15*ln(-(-1+cos(x))/sin(x)))*sin(x)*(-1/(-1+cos(x)^2))^(7/2)*4^(1/2)","B"
40,1,78,26,0.442000," ","int((csc(x)^2)^(5/2),x)","\frac{\left(3 \left(\cos^{4}\left(x \right)\right) \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)+3 \left(\cos^{3}\left(x \right)\right)-6 \left(\cos^{2}\left(x \right)\right) \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)-5 \cos \left(x \right)+3 \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)\right) \sin \left(x \right) \left(-\frac{1}{-1+\cos^{2}\left(x \right)}\right)^{\frac{5}{2}} \sqrt{4}}{16}"," ",0,"1/16*(3*cos(x)^4*ln(-(-1+cos(x))/sin(x))+3*cos(x)^3-6*cos(x)^2*ln(-(-1+cos(x))/sin(x))-5*cos(x)+3*ln(-(-1+cos(x))/sin(x)))*sin(x)*(-1/(-1+cos(x)^2))^(5/2)*4^(1/2)","B"
41,1,52,16,0.463000," ","int((csc(x)^2)^(3/2),x)","-\frac{\left(\left(\cos^{2}\left(x \right)\right) \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)-\ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)+\cos \left(x \right)\right) \sin \left(x \right) \left(-\frac{1}{-1+\cos^{2}\left(x \right)}\right)^{\frac{3}{2}} \sqrt{4}}{4}"," ",0,"-1/4*(cos(x)^2*ln(-(-1+cos(x))/sin(x))-ln(-(-1+cos(x))/sin(x))+cos(x))*sin(x)*(-1/(-1+cos(x)^2))^(3/2)*4^(1/2)","B"
42,1,31,5,0.608000," ","int((csc(x)^2)^(1/2),x)","\frac{\sin \left(x \right) \sqrt{-\frac{1}{-1+\cos^{2}\left(x \right)}}\, \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right) \sqrt{4}}{2}"," ",0,"1/2*sin(x)*(-1/(-1+cos(x)^2))^(1/2)*ln(-(-1+cos(x))/sin(x))*4^(1/2)","B"
43,1,26,10,0.583000," ","int(1/(csc(x)^2)^(1/2),x)","\frac{\sin \left(x \right) \sqrt{4}}{2 \sqrt{-\frac{1}{-1+\cos^{2}\left(x \right)}}\, \left(-1+\cos \left(x \right)\right)}"," ",0,"1/2*sin(x)/(-1/(-1+cos(x)^2))^(1/2)/(-1+cos(x))*4^(1/2)","B"
44,1,30,21,0.436000," ","int(1/(csc(x)^2)^(3/2),x)","\frac{\sin \left(x \right) \left(\cos \left(x \right)-2\right) \sqrt{4}}{6 \left(-1+\cos \left(x \right)\right)^{2} \left(-\frac{1}{-1+\cos^{2}\left(x \right)}\right)^{\frac{3}{2}}}"," ",0,"1/6*sin(x)*(cos(x)-2)/(-1+cos(x))^2/(-1/(-1+cos(x)^2))^(3/2)*4^(1/2)","A"
45,1,38,31,0.426000," ","int(1/(csc(x)^2)^(5/2),x)","\frac{\sin \left(x \right) \left(3 \left(\cos^{2}\left(x \right)\right)-9 \cos \left(x \right)+8\right) \sqrt{4}}{30 \left(-1+\cos \left(x \right)\right)^{3} \left(-\frac{1}{-1+\cos^{2}\left(x \right)}\right)^{\frac{5}{2}}}"," ",0,"1/30*sin(x)*(3*cos(x)^2-9*cos(x)+8)/(-1+cos(x))^3/(-1/(-1+cos(x)^2))^(5/2)*4^(1/2)","A"
46,1,44,41,0.430000," ","int(1/(csc(x)^2)^(7/2),x)","\frac{\sin \left(x \right) \left(5 \left(\cos^{3}\left(x \right)\right)-20 \left(\cos^{2}\left(x \right)\right)+29 \cos \left(x \right)-16\right) \sqrt{4}}{70 \left(-1+\cos \left(x \right)\right)^{4} \left(-\frac{1}{-1+\cos^{2}\left(x \right)}\right)^{\frac{7}{2}}}"," ",0,"1/70*sin(x)*(5*cos(x)^3-20*cos(x)^2+29*cos(x)-16)/(-1+cos(x))^4/(-1/(-1+cos(x)^2))^(7/2)*4^(1/2)","A"
47,1,102,64,0.474000," ","int((a*csc(x)^2)^(7/2),x)","-\frac{\left(15 \left(\cos^{6}\left(x \right)\right) \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)+15 \left(\cos^{5}\left(x \right)\right)-45 \left(\cos^{4}\left(x \right)\right) \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)-40 \left(\cos^{3}\left(x \right)\right)+45 \left(\cos^{2}\left(x \right)\right) \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)+33 \cos \left(x \right)-15 \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)\right) \sin \left(x \right) \left(-\frac{a}{-1+\cos^{2}\left(x \right)}\right)^{\frac{7}{2}} \sqrt{4}}{96}"," ",0,"-1/96*(15*cos(x)^6*ln(-(-1+cos(x))/sin(x))+15*cos(x)^5-45*cos(x)^4*ln(-(-1+cos(x))/sin(x))-40*cos(x)^3+45*cos(x)^2*ln(-(-1+cos(x))/sin(x))+33*cos(x)-15*ln(-(-1+cos(x))/sin(x)))*sin(x)*(-1/(-1+cos(x)^2)*a)^(7/2)*4^(1/2)","A"
48,1,79,49,0.437000," ","int((a*csc(x)^2)^(5/2),x)","\frac{\left(3 \left(\cos^{4}\left(x \right)\right) \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)+3 \left(\cos^{3}\left(x \right)\right)-6 \left(\cos^{2}\left(x \right)\right) \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)-5 \cos \left(x \right)+3 \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)\right) \sin \left(x \right) \left(-\frac{a}{-1+\cos^{2}\left(x \right)}\right)^{\frac{5}{2}} \sqrt{4}}{16}"," ",0,"1/16*(3*cos(x)^4*ln(-(-1+cos(x))/sin(x))+3*cos(x)^3-6*cos(x)^2*ln(-(-1+cos(x))/sin(x))-5*cos(x)+3*ln(-(-1+cos(x))/sin(x)))*sin(x)*(-1/(-1+cos(x)^2)*a)^(5/2)*4^(1/2)","A"
49,1,53,34,0.462000," ","int((a*csc(x)^2)^(3/2),x)","-\frac{\left(\left(\cos^{2}\left(x \right)\right) \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)-\ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right)+\cos \left(x \right)\right) \sin \left(x \right) \left(-\frac{a}{-1+\cos^{2}\left(x \right)}\right)^{\frac{3}{2}} \sqrt{4}}{4}"," ",0,"-1/4*(cos(x)^2*ln(-(-1+cos(x))/sin(x))-ln(-(-1+cos(x))/sin(x))+cos(x))*sin(x)*(-1/(-1+cos(x)^2)*a)^(3/2)*4^(1/2)","A"
50,1,32,20,0.683000," ","int((a*csc(x)^2)^(1/2),x)","\frac{\sin \left(x \right) \sqrt{-\frac{a}{-1+\cos^{2}\left(x \right)}}\, \ln \left(-\frac{-1+\cos \left(x \right)}{\sin \left(x \right)}\right) \sqrt{4}}{2}"," ",0,"1/2*sin(x)*(-1/(-1+cos(x)^2)*a)^(1/2)*ln(-(-1+cos(x))/sin(x))*4^(1/2)","A"
51,1,27,12,0.619000," ","int(1/(a*csc(x)^2)^(1/2),x)","\frac{\sin \left(x \right) \sqrt{4}}{2 \sqrt{-\frac{a}{-1+\cos^{2}\left(x \right)}}\, \left(-1+\cos \left(x \right)\right)}"," ",0,"1/2*sin(x)/(-1/(-1+cos(x)^2)*a)^(1/2)/(-1+cos(x))*4^(1/2)","B"
52,1,31,28,0.408000," ","int(1/(a*csc(x)^2)^(3/2),x)","\frac{\sin \left(x \right) \left(\cos \left(x \right)-2\right) \sqrt{4}}{6 \left(-1+\cos \left(x \right)\right)^{2} \left(-\frac{a}{-1+\cos^{2}\left(x \right)}\right)^{\frac{3}{2}}}"," ",0,"1/6*sin(x)*(cos(x)-2)/(-1+cos(x))^2/(-1/(-1+cos(x)^2)*a)^(3/2)*4^(1/2)","A"
53,1,39,43,0.415000," ","int(1/(a*csc(x)^2)^(5/2),x)","\frac{\sin \left(x \right) \left(3 \left(\cos^{2}\left(x \right)\right)-9 \cos \left(x \right)+8\right) \sqrt{4}}{30 \left(-1+\cos \left(x \right)\right)^{3} \left(-\frac{a}{-1+\cos^{2}\left(x \right)}\right)^{\frac{5}{2}}}"," ",0,"1/30*sin(x)*(3*cos(x)^2-9*cos(x)+8)/(-1+cos(x))^3/(-1/(-1+cos(x)^2)*a)^(5/2)*4^(1/2)","A"
54,1,45,58,0.454000," ","int(1/(a*csc(x)^2)^(7/2),x)","\frac{\sin \left(x \right) \left(5 \left(\cos^{3}\left(x \right)\right)-20 \left(\cos^{2}\left(x \right)\right)+29 \cos \left(x \right)-16\right) \sqrt{4}}{70 \left(-1+\cos \left(x \right)\right)^{4} \left(-\frac{a}{-1+\cos^{2}\left(x \right)}\right)^{\frac{7}{2}}}"," ",0,"1/70*sin(x)*(5*cos(x)^3-20*cos(x)^2+29*cos(x)-16)/(-1+cos(x))^4/(-1/(-1+cos(x)^2)*a)^(7/2)*4^(1/2)","A"
55,1,1313,122,0.767000," ","int((a*csc(x)^3)^(5/2),x)","-\frac{\left(462 \left(\cos^{7}\left(x \right)\right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)-231 \left(\cos^{7}\left(x \right)\right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)+462 \left(\cos^{6}\left(x \right)\right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)-231 \left(\cos^{6}\left(x \right)\right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)-1386 \left(\cos^{5}\left(x \right)\right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)+693 \left(\cos^{5}\left(x \right)\right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)-1386 \left(\cos^{4}\left(x \right)\right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)+693 \left(\cos^{4}\left(x \right)\right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)+1386 \left(\cos^{3}\left(x \right)\right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)-693 \left(\cos^{3}\left(x \right)\right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)+1386 \left(\cos^{2}\left(x \right)\right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)-693 \left(\cos^{2}\left(x \right)\right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)-462 \left(\cos^{6}\left(x \right)\right)-462 \cos \left(x \right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)+231 \cos \left(x \right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)+154 \left(\cos^{5}\left(x \right)\right)-462 \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)+231 \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)+1386 \left(\cos^{4}\left(x \right)\right)-418 \left(\cos^{3}\left(x \right)\right)-1386 \left(\cos^{2}\left(x \right)\right)+354 \cos \left(x \right)+462\right) \sin \left(x \right) \left(-\frac{2 a}{\sin \left(x \right) \left(-1+\cos^{2}\left(x \right)\right)}\right)^{\frac{5}{2}} \sqrt{8}}{9360}"," ",0,"-1/9360*(462*cos(x)^7*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticE(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))-231*cos(x)^7*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))+462*cos(x)^6*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticE(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))-231*cos(x)^6*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))-1386*cos(x)^5*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticE(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))+693*cos(x)^5*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))-1386*cos(x)^4*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticE(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))+693*cos(x)^4*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))+1386*cos(x)^3*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticE(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))-693*cos(x)^3*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))+1386*cos(x)^2*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticE(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))-693*cos(x)^2*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))-462*cos(x)^6-462*cos(x)*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticE(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))+231*cos(x)*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))+154*cos(x)^5-462*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticE(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))+231*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))+1386*cos(x)^4-418*cos(x)^3-1386*cos(x)^2+354*cos(x)+462)*sin(x)*(-2/sin(x)/(-1+cos(x)^2)*a)^(5/2)*8^(1/2)","C"
56,1,372,78,0.904000," ","int((a*csc(x)^3)^(3/2),x)","-\frac{\left(\cos \left(x \right)+1\right)^{2} \left(-1+\cos \left(x \right)\right)^{2} \left(5 i \sin \left(x \right) \left(\cos^{3}\left(x \right)\right) \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{2}+5 i \sin \left(x \right) \left(\cos^{2}\left(x \right)\right) \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{2}-5 i \sin \left(x \right) \cos \left(x \right) \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right) \sqrt{2}-5 i \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{2}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right) \sin \left(x \right)-10 \left(\cos^{3}\left(x \right)\right)+16 \cos \left(x \right)\right) \left(-\frac{2 a}{\sin \left(x \right) \left(-1+\cos^{2}\left(x \right)\right)}\right)^{\frac{3}{2}} \sqrt{8}}{168 \sin \left(x \right)^{3}}"," ",0,"-1/168*(cos(x)+1)^2*(-1+cos(x))^2*(5*I*sin(x)*cos(x)^3*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))*2^(1/2)+5*I*sin(x)*cos(x)^2*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))*2^(1/2)-5*I*sin(x)*cos(x)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))*2^(1/2)-5*I*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*2^(1/2)*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))*sin(x)-10*cos(x)^3+16*cos(x))*(-2/sin(x)/(-1+cos(x)^2)*a)^(3/2)/sin(x)^3*8^(1/2)","C"
57,1,343,63,0.975000," ","int((a*csc(x)^3)^(1/2),x)","\frac{\left(2 \cos \left(x \right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{-\frac{i \cos \left(x \right)-i-\sin \left(x \right)}{\sin \left(x \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)-\cos \left(x \right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{-\frac{i \cos \left(x \right)-i-\sin \left(x \right)}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)+2 \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{-\frac{i \cos \left(x \right)-i-\sin \left(x \right)}{\sin \left(x \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)-\sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{-\frac{i \cos \left(x \right)-i-\sin \left(x \right)}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)-2\right) \sin \left(x \right) \sqrt{-\frac{2 a}{\sin \left(x \right) \left(-1+\cos^{2}\left(x \right)\right)}}\, \sqrt{8}}{4}"," ",0,"1/4*(2*cos(x)*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*(-(I*cos(x)-I-sin(x))/sin(x))^(1/2)*EllipticE(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))-cos(x)*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*(-(I*cos(x)-I-sin(x))/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))+2*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*(-(I*cos(x)-I-sin(x))/sin(x))^(1/2)*EllipticE(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))-2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*(-(I*cos(x)-I-sin(x))/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))-2)*sin(x)*(-2/sin(x)/(-1+cos(x)^2)*a)^(1/2)*8^(1/2)","C"
58,1,125,61,1.089000," ","int(1/(a*csc(x)^3)^(1/2),x)","-\frac{\left(i \sin \left(x \right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{-\frac{i \cos \left(x \right)-i-\sin \left(x \right)}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)+2 \left(\cos^{2}\left(x \right)\right)-2 \cos \left(x \right)\right) \sqrt{8}}{6 \left(-1+\cos \left(x \right)\right) \sqrt{-\frac{2 a}{\sin \left(x \right) \left(-1+\cos^{2}\left(x \right)\right)}}\, \sin \left(x \right)}"," ",0,"-1/6*(I*sin(x)*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*(-(I*cos(x)-I-sin(x))/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))+2*cos(x)^2-2*cos(x))/(-1+cos(x))/(-2/sin(x)/(-1+cos(x)^2)*a)^(1/2)/sin(x)*8^(1/2)","C"
59,1,361,86,0.788000," ","int(1/(a*csc(x)^3)^(3/2),x)","-\frac{\left(42 \cos \left(x \right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{-\frac{i \cos \left(x \right)-i-\sin \left(x \right)}{\sin \left(x \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)-21 \cos \left(x \right) \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{-\frac{i \cos \left(x \right)-i-\sin \left(x \right)}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)+10 \left(\cos^{5}\left(x \right)\right)+42 \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{-\frac{i \cos \left(x \right)-i-\sin \left(x \right)}{\sin \left(x \right)}}\, \EllipticE \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)-21 \sqrt{2}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{-\frac{i \cos \left(x \right)-i-\sin \left(x \right)}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right)-34 \left(\cos^{3}\left(x \right)\right)+66 \cos \left(x \right)-42\right) \sqrt{8}}{45 \left(-\frac{2 a}{\sin \left(x \right) \left(-1+\cos^{2}\left(x \right)\right)}\right)^{\frac{3}{2}} \sin \left(x \right)^{5}}"," ",0,"-1/45*(42*cos(x)*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*(-(I*cos(x)-I-sin(x))/sin(x))^(1/2)*EllipticE(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))-21*cos(x)*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*(-(I*cos(x)-I-sin(x))/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))+10*cos(x)^5+42*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*(-(I*cos(x)-I-sin(x))/sin(x))^(1/2)*EllipticE(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))-21*2^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*(-(I*cos(x)-I-sin(x))/sin(x))^(1/2)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))-34*cos(x)^3+66*cos(x)-42)/(-2/sin(x)/(-1+cos(x)^2)*a)^(3/2)/sin(x)^5*8^(1/2)","C"
60,1,158,122,0.793000," ","int(1/(a*csc(x)^3)^(5/2),x)","-\frac{2 \left(-154 \left(\cos^{8}\left(x \right)\right)+195 i \sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}\, \sqrt{2}\, \sqrt{\frac{-i \cos \left(x \right)+\sin \left(x \right)+i}{\sin \left(x \right)}}\, \sqrt{-\frac{i \left(-1+\cos \left(x \right)\right)}{\sin \left(x \right)}}\, \EllipticF \left(\sqrt{\frac{i \cos \left(x \right)-i+\sin \left(x \right)}{\sin \left(x \right)}}, \frac{\sqrt{2}}{2}\right) \sin \left(x \right)+154 \left(\cos^{7}\left(x \right)\right)+644 \left(\cos^{6}\left(x \right)\right)-644 \left(\cos^{5}\left(x \right)\right)-1060 \left(\cos^{4}\left(x \right)\right)+1060 \left(\cos^{3}\left(x \right)\right)+960 \left(\cos^{2}\left(x \right)\right)-960 \cos \left(x \right)\right) \sqrt{8}}{1155 \left(-1+\cos \left(x \right)\right) \left(-\frac{2 a}{\sin \left(x \right) \left(-1+\cos^{2}\left(x \right)\right)}\right)^{\frac{5}{2}} \sin \left(x \right)^{7}}"," ",0,"-2/1155*(-154*cos(x)^8+195*I*2^(1/2)*sin(x)*EllipticF(((I*cos(x)-I+sin(x))/sin(x))^(1/2),1/2*2^(1/2))*((-I*cos(x)+sin(x)+I)/sin(x))^(1/2)*((I*cos(x)-I+sin(x))/sin(x))^(1/2)*(-I*(-1+cos(x))/sin(x))^(1/2)+154*cos(x)^7+644*cos(x)^6-644*cos(x)^5-1060*cos(x)^4+1060*cos(x)^3+960*cos(x)^2-960*cos(x))/(-1+cos(x))/(-2/sin(x)/(-1+cos(x)^2)*a)^(5/2)/sin(x)^7*8^(1/2)","C"
61,1,53,142,0.764000," ","int((a*csc(x)^4)^(7/2),x)","-\frac{\left(1024 \left(\cos^{12}\left(x \right)\right)-6656 \left(\cos^{10}\left(x \right)\right)+18304 \left(\cos^{8}\left(x \right)\right)-27456 \left(\cos^{6}\left(x \right)\right)+24024 \left(\cos^{4}\left(x \right)\right)-12012 \left(\cos^{2}\left(x \right)\right)+3003\right) \cos \left(x \right) \sin \left(x \right) \left(\frac{a}{\sin \left(x \right)^{4}}\right)^{\frac{7}{2}}}{3003}"," ",0,"-1/3003*(1024*cos(x)^12-6656*cos(x)^10+18304*cos(x)^8-27456*cos(x)^6+24024*cos(x)^4-12012*cos(x)^2+3003)*cos(x)*sin(x)*(a/sin(x)^4)^(7/2)","A"
62,1,41,100,0.513000," ","int((a*csc(x)^4)^(5/2),x)","-\frac{\left(128 \left(\cos^{8}\left(x \right)\right)-576 \left(\cos^{6}\left(x \right)\right)+1008 \left(\cos^{4}\left(x \right)\right)-840 \left(\cos^{2}\left(x \right)\right)+315\right) \cos \left(x \right) \sin \left(x \right) \left(\frac{a}{\sin \left(x \right)^{4}}\right)^{\frac{5}{2}}}{315}"," ",0,"-1/315*(128*cos(x)^8-576*cos(x)^6+1008*cos(x)^4-840*cos(x)^2+315)*cos(x)*sin(x)*(a/sin(x)^4)^(5/2)","A"
63,1,29,52,0.424000," ","int((a*csc(x)^4)^(3/2),x)","-\frac{\left(8 \left(\cos^{4}\left(x \right)\right)-20 \left(\cos^{2}\left(x \right)\right)+15\right) \cos \left(x \right) \sin \left(x \right) \left(\frac{a}{\sin \left(x \right)^{4}}\right)^{\frac{3}{2}}}{15}"," ",0,"-1/15*(8*cos(x)^4-20*cos(x)^2+15)*cos(x)*sin(x)*(a/sin(x)^4)^(3/2)","A"
64,1,18,14,0.632000," ","int((a*csc(x)^4)^(1/2),x)","-\frac{\sin \left(x \right) \cos \left(x \right) \sqrt{\frac{a}{\sin \left(x \right)^{4}}}\, \sqrt{16}}{4}"," ",0,"-1/4*sin(x)*cos(x)*(a/sin(x)^4)^(1/2)*16^(1/2)","A"
65,1,24,28,0.742000," ","int(1/(a*csc(x)^4)^(1/2),x)","-\frac{\cos \left(x \right) \sin \left(x \right)-x}{2 \sin \left(x \right)^{2} \sqrt{\frac{a}{\sin \left(x \right)^{4}}}}"," ",0,"-1/2*(cos(x)*sin(x)-x)/sin(x)^2/(a/sin(x)^4)^(1/2)","A"
66,1,41,70,0.642000," ","int(1/(a*csc(x)^4)^(3/2),x)","-\frac{8 \sin \left(x \right) \left(\cos^{5}\left(x \right)\right)-26 \left(\cos^{3}\left(x \right)\right) \sin \left(x \right)+33 \cos \left(x \right) \sin \left(x \right)-15 x}{48 \left(\frac{a}{\sin \left(x \right)^{4}}\right)^{\frac{3}{2}} \sin \left(x \right)^{6}}"," ",0,"-1/48*(8*sin(x)*cos(x)^5-26*cos(x)^3*sin(x)+33*cos(x)*sin(x)-15*x)/(a/sin(x)^4)^(3/2)/sin(x)^6","A"
67,1,57,108,0.780000," ","int(1/(a*csc(x)^4)^(5/2),x)","-\frac{128 \sin \left(x \right) \left(\cos^{9}\left(x \right)\right)-656 \sin \left(x \right) \left(\cos^{7}\left(x \right)\right)+1368 \sin \left(x \right) \left(\cos^{5}\left(x \right)\right)-1490 \left(\cos^{3}\left(x \right)\right) \sin \left(x \right)+965 \cos \left(x \right) \sin \left(x \right)-315 x}{1280 \left(\frac{a}{\sin \left(x \right)^{4}}\right)^{\frac{5}{2}} \sin \left(x \right)^{10}}"," ",0,"-1/1280*(128*sin(x)*cos(x)^9-656*sin(x)*cos(x)^7+1368*sin(x)*cos(x)^5-1490*cos(x)^3*sin(x)+965*cos(x)*sin(x)-315*x)/(a/sin(x)^4)^(5/2)/sin(x)^10","A"
68,0,0,70,3.011000," ","int(((b*csc(d*x+c))^p)^n,x)","\int \left(\left(b \csc \left(d x +c \right)\right)^{p}\right)^{n}\, dx"," ",0,"int(((b*csc(d*x+c))^p)^n,x)","F"
69,0,0,72,2.232000," ","int((a*(b*csc(d*x+c))^p)^n,x)","\int \left(a \left(b \csc \left(d x +c \right)\right)^{p}\right)^{n}\, dx"," ",0,"int((a*(b*csc(d*x+c))^p)^n,x)","F"
70,0,0,81,3.901000," ","int((a*csc(f*x+e))^m*(b*csc(f*x+e))^n,x)","\int \left(a \csc \left(f x +e \right)\right)^{m} \left(b \csc \left(f x +e \right)\right)^{n}\, dx"," ",0,"int((a*csc(f*x+e))^m*(b*csc(f*x+e))^n,x)","F"