1,1,155,0,0.461071," ","integrate(csc(d*x+c)^3*(a+a*csc(d*x+c))*(A+A*csc(d*x+c)),x, algorithm=""giac"")","\frac{3 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 16 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 48 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 168 \, A a \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) + 144 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - \frac{350 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 144 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 48 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 16 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4}}}{192 \, d}"," ",0,"1/192*(3*A*a*tan(1/2*d*x + 1/2*c)^4 + 16*A*a*tan(1/2*d*x + 1/2*c)^3 + 48*A*a*tan(1/2*d*x + 1/2*c)^2 + 168*A*a*log(abs(tan(1/2*d*x + 1/2*c))) + 144*A*a*tan(1/2*d*x + 1/2*c) - (350*A*a*tan(1/2*d*x + 1/2*c)^4 + 144*A*a*tan(1/2*d*x + 1/2*c)^3 + 48*A*a*tan(1/2*d*x + 1/2*c)^2 + 16*A*a*tan(1/2*d*x + 1/2*c) + 3*A*a)/tan(1/2*d*x + 1/2*c)^4)/d","A",0
2,1,123,0,0.584491," ","integrate(csc(d*x+c)^2*(a+a*csc(d*x+c))*(A+A*csc(d*x+c)),x, algorithm=""giac"")","\frac{A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 6 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 24 \, A a \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) + 21 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - \frac{44 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 21 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 6 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3}}}{24 \, d}"," ",0,"1/24*(A*a*tan(1/2*d*x + 1/2*c)^3 + 6*A*a*tan(1/2*d*x + 1/2*c)^2 + 24*A*a*log(abs(tan(1/2*d*x + 1/2*c))) + 21*A*a*tan(1/2*d*x + 1/2*c) - (44*A*a*tan(1/2*d*x + 1/2*c)^3 + 21*A*a*tan(1/2*d*x + 1/2*c)^2 + 6*A*a*tan(1/2*d*x + 1/2*c) + A*a)/tan(1/2*d*x + 1/2*c)^3)/d","A",0
3,1,93,0,0.472548," ","integrate(csc(d*x+c)*(a+a*csc(d*x+c))*(A+A*csc(d*x+c)),x, algorithm=""giac"")","\frac{A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 12 \, A a \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) + 8 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - \frac{18 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}}{8 \, d}"," ",0,"1/8*(A*a*tan(1/2*d*x + 1/2*c)^2 + 12*A*a*log(abs(tan(1/2*d*x + 1/2*c))) + 8*A*a*tan(1/2*d*x + 1/2*c) - (18*A*a*tan(1/2*d*x + 1/2*c)^2 + 8*A*a*tan(1/2*d*x + 1/2*c) + A*a)/tan(1/2*d*x + 1/2*c)^2)/d","A",0
4,1,47,0,0.388404," ","integrate((a+a*csc(d*x+c))*(A+A*csc(d*x+c))*sin(d*x+c),x, algorithm=""giac"")","\frac{2 \, {\left(d x + c\right)} A a + A a \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) - \frac{2 \, A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}}{d}"," ",0,"(2*(d*x + c)*A*a + A*a*log(abs(tan(1/2*d*x + 1/2*c))) - 2*A*a/(tan(1/2*d*x + 1/2*c)^2 + 1))/d","A",0
5,1,79,0,0.351652," ","integrate((a+a*csc(d*x+c))*(A+A*csc(d*x+c))*sin(d*x+c)^2,x, algorithm=""giac"")","\frac{3 \, {\left(d x + c\right)} A a + \frac{2 \, {\left(A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 4 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 4 \, A a\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{2}}}{2 \, d}"," ",0,"1/2*(3*(d*x + c)*A*a + 2*(A*a*tan(1/2*d*x + 1/2*c)^3 - 4*A*a*tan(1/2*d*x + 1/2*c)^2 - A*a*tan(1/2*d*x + 1/2*c) - 4*A*a)/(tan(1/2*d*x + 1/2*c)^2 + 1)^2)/d","B",0
6,1,95,0,0.360160," ","integrate((a+a*csc(d*x+c))*(A+A*csc(d*x+c))*sin(d*x+c)^3,x, algorithm=""giac"")","\frac{3 \, {\left(d x + c\right)} A a + \frac{2 \, {\left(3 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 3 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 12 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 3 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 5 \, A a\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{3}}}{3 \, d}"," ",0,"1/3*(3*(d*x + c)*A*a + 2*(3*A*a*tan(1/2*d*x + 1/2*c)^5 - 3*A*a*tan(1/2*d*x + 1/2*c)^4 - 12*A*a*tan(1/2*d*x + 1/2*c)^2 - 3*A*a*tan(1/2*d*x + 1/2*c) - 5*A*a)/(tan(1/2*d*x + 1/2*c)^2 + 1)^3)/d","A",0
7,1,107,0,0.395327," ","integrate(csc(d*x+c)^3*(a-a*csc(d*x+c))*(A+A*csc(d*x+c)),x, algorithm=""giac"")","\frac{4 \, A a \log\left(\frac{{\left| -\cos\left(d x + c\right) + 1 \right|}}{{\left| \cos\left(d x + c\right) + 1 \right|}}\right) - \frac{A a {\left(\cos\left(d x + c\right) - 1\right)}^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{{\left(A a - \frac{2 \, A a {\left(\cos\left(d x + c\right) - 1\right)}^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}}\right)} {\left(\cos\left(d x + c\right) + 1\right)}^{2}}{{\left(\cos\left(d x + c\right) - 1\right)}^{2}}}{64 \, d}"," ",0,"1/64*(4*A*a*log(abs(-cos(d*x + c) + 1)/abs(cos(d*x + c) + 1)) - A*a*(cos(d*x + c) - 1)^2/(cos(d*x + c) + 1)^2 + (A*a - 2*A*a*(cos(d*x + c) - 1)^2/(cos(d*x + c) + 1)^2)*(cos(d*x + c) + 1)^2/(cos(d*x + c) - 1)^2)/d","A",0
8,1,15,0,0.354640," ","integrate(csc(d*x+c)^2*(a-a*csc(d*x+c))*(A+A*csc(d*x+c)),x, algorithm=""giac"")","\frac{A a}{3 \, d \tan\left(d x + c\right)^{3}}"," ",0,"1/3*A*a/(d*tan(d*x + c)^3)","A",0
9,1,101,0,0.572148," ","integrate(csc(d*x+c)*(a-a*csc(d*x+c))*(A+A*csc(d*x+c)),x, algorithm=""giac"")","\frac{2 \, A a \log\left(\frac{{\left| -\cos\left(d x + c\right) + 1 \right|}}{{\left| \cos\left(d x + c\right) + 1 \right|}}\right) + \frac{A a {\left(\cos\left(d x + c\right) - 1\right)}}{\cos\left(d x + c\right) + 1} - \frac{{\left(A a + \frac{2 \, A a {\left(\cos\left(d x + c\right) - 1\right)}}{\cos\left(d x + c\right) + 1}\right)} {\left(\cos\left(d x + c\right) + 1\right)}}{\cos\left(d x + c\right) - 1}}{8 \, d}"," ",0,"1/8*(2*A*a*log(abs(-cos(d*x + c) + 1)/abs(cos(d*x + c) + 1)) + A*a*(cos(d*x + c) - 1)/(cos(d*x + c) + 1) - (A*a + 2*A*a*(cos(d*x + c) - 1)/(cos(d*x + c) + 1))*(cos(d*x + c) + 1)/(cos(d*x + c) - 1))/d","B",0
10,1,60,0,0.334517," ","integrate((a-a*csc(d*x+c))*(A+A*csc(d*x+c))*sin(d*x+c),x, algorithm=""giac"")","-\frac{A a \log\left(\frac{{\left| -\cos\left(d x + c\right) + 1 \right|}}{{\left| \cos\left(d x + c\right) + 1 \right|}}\right) - \frac{4 \, A a}{\frac{\cos\left(d x + c\right) - 1}{\cos\left(d x + c\right) + 1} - 1}}{2 \, d}"," ",0,"-1/2*(A*a*log(abs(-cos(d*x + c) + 1)/abs(cos(d*x + c) + 1)) - 4*A*a/((cos(d*x + c) - 1)/(cos(d*x + c) + 1) - 1))/d","B",0
11,1,35,0,0.456908," ","integrate((a-a*csc(d*x+c))*(A+A*csc(d*x+c))*sin(d*x+c)^2,x, algorithm=""giac"")","-\frac{{\left(d x + c\right)} A a + \frac{A a \tan\left(d x + c\right)}{\tan\left(d x + c\right)^{2} + 1}}{2 \, d}"," ",0,"-1/2*((d*x + c)*A*a + A*a*tan(d*x + c)/(tan(d*x + c)^2 + 1))/d","A",0
12,1,56,0,0.538550," ","integrate((a-a*csc(d*x+c))*(A+A*csc(d*x+c))*sin(d*x+c)^3,x, algorithm=""giac"")","-\frac{2 \, {\left(A a + \frac{3 \, A a {\left(\cos\left(d x + c\right) - 1\right)}^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}}\right)}}{3 \, d {\left(\frac{\cos\left(d x + c\right) - 1}{\cos\left(d x + c\right) + 1} - 1\right)}^{3}}"," ",0,"-2/3*(A*a + 3*A*a*(cos(d*x + c) - 1)^2/(cos(d*x + c) + 1)^2)/(d*((cos(d*x + c) - 1)/(cos(d*x + c) + 1) - 1)^3)","B",0
13,1,107,0,0.400552," ","integrate(csc(d*x+c)^3*(a+a*csc(d*x+c))*(A-A*csc(d*x+c)),x, algorithm=""giac"")","\frac{4 \, A a \log\left(\frac{{\left| -\cos\left(d x + c\right) + 1 \right|}}{{\left| \cos\left(d x + c\right) + 1 \right|}}\right) - \frac{A a {\left(\cos\left(d x + c\right) - 1\right)}^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}} + \frac{{\left(A a - \frac{2 \, A a {\left(\cos\left(d x + c\right) - 1\right)}^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}}\right)} {\left(\cos\left(d x + c\right) + 1\right)}^{2}}{{\left(\cos\left(d x + c\right) - 1\right)}^{2}}}{64 \, d}"," ",0,"1/64*(4*A*a*log(abs(-cos(d*x + c) + 1)/abs(cos(d*x + c) + 1)) - A*a*(cos(d*x + c) - 1)^2/(cos(d*x + c) + 1)^2 + (A*a - 2*A*a*(cos(d*x + c) - 1)^2/(cos(d*x + c) + 1)^2)*(cos(d*x + c) + 1)^2/(cos(d*x + c) - 1)^2)/d","A",0
14,1,15,0,0.363108," ","integrate(csc(d*x+c)^2*(a+a*csc(d*x+c))*(A-A*csc(d*x+c)),x, algorithm=""giac"")","\frac{A a}{3 \, d \tan\left(d x + c\right)^{3}}"," ",0,"1/3*A*a/(d*tan(d*x + c)^3)","A",0
15,1,101,0,0.475667," ","integrate(csc(d*x+c)*(a+a*csc(d*x+c))*(A-A*csc(d*x+c)),x, algorithm=""giac"")","\frac{2 \, A a \log\left(\frac{{\left| -\cos\left(d x + c\right) + 1 \right|}}{{\left| \cos\left(d x + c\right) + 1 \right|}}\right) + \frac{A a {\left(\cos\left(d x + c\right) - 1\right)}}{\cos\left(d x + c\right) + 1} - \frac{{\left(A a + \frac{2 \, A a {\left(\cos\left(d x + c\right) - 1\right)}}{\cos\left(d x + c\right) + 1}\right)} {\left(\cos\left(d x + c\right) + 1\right)}}{\cos\left(d x + c\right) - 1}}{8 \, d}"," ",0,"1/8*(2*A*a*log(abs(-cos(d*x + c) + 1)/abs(cos(d*x + c) + 1)) + A*a*(cos(d*x + c) - 1)/(cos(d*x + c) + 1) - (A*a + 2*A*a*(cos(d*x + c) - 1)/(cos(d*x + c) + 1))*(cos(d*x + c) + 1)/(cos(d*x + c) - 1))/d","B",0
16,1,60,0,0.604464," ","integrate((a+a*csc(d*x+c))*(A-A*csc(d*x+c))/csc(d*x+c),x, algorithm=""giac"")","-\frac{A a \log\left(\frac{{\left| -\cos\left(d x + c\right) + 1 \right|}}{{\left| \cos\left(d x + c\right) + 1 \right|}}\right) - \frac{4 \, A a}{\frac{\cos\left(d x + c\right) - 1}{\cos\left(d x + c\right) + 1} - 1}}{2 \, d}"," ",0,"-1/2*(A*a*log(abs(-cos(d*x + c) + 1)/abs(cos(d*x + c) + 1)) - 4*A*a/((cos(d*x + c) - 1)/(cos(d*x + c) + 1) - 1))/d","B",0
17,1,35,0,0.312821," ","integrate((a+a*csc(d*x+c))*(A-A*csc(d*x+c))/csc(d*x+c)^2,x, algorithm=""giac"")","-\frac{{\left(d x + c\right)} A a + \frac{A a \tan\left(d x + c\right)}{\tan\left(d x + c\right)^{2} + 1}}{2 \, d}"," ",0,"-1/2*((d*x + c)*A*a + A*a*tan(d*x + c)/(tan(d*x + c)^2 + 1))/d","A",0
18,1,56,0,0.356552," ","integrate((a+a*csc(d*x+c))*(A-A*csc(d*x+c))/csc(d*x+c)^3,x, algorithm=""giac"")","-\frac{2 \, {\left(A a + \frac{3 \, A a {\left(\cos\left(d x + c\right) - 1\right)}^{2}}{{\left(\cos\left(d x + c\right) + 1\right)}^{2}}\right)}}{3 \, d {\left(\frac{\cos\left(d x + c\right) - 1}{\cos\left(d x + c\right) + 1} - 1\right)}^{3}}"," ",0,"-2/3*(A*a + 3*A*a*(cos(d*x + c) - 1)^2/(cos(d*x + c) + 1)^2)/(d*((cos(d*x + c) - 1)/(cos(d*x + c) + 1) - 1)^3)","B",0
19,1,155,0,0.304380," ","integrate(csc(d*x+c)^3*(a-a*csc(d*x+c))*(A-A*csc(d*x+c)),x, algorithm=""giac"")","\frac{3 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 16 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 48 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 168 \, A a \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) - 144 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - \frac{350 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 144 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 48 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 16 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4}}}{192 \, d}"," ",0,"1/192*(3*A*a*tan(1/2*d*x + 1/2*c)^4 - 16*A*a*tan(1/2*d*x + 1/2*c)^3 + 48*A*a*tan(1/2*d*x + 1/2*c)^2 + 168*A*a*log(abs(tan(1/2*d*x + 1/2*c))) - 144*A*a*tan(1/2*d*x + 1/2*c) - (350*A*a*tan(1/2*d*x + 1/2*c)^4 - 144*A*a*tan(1/2*d*x + 1/2*c)^3 + 48*A*a*tan(1/2*d*x + 1/2*c)^2 - 16*A*a*tan(1/2*d*x + 1/2*c) + 3*A*a)/tan(1/2*d*x + 1/2*c)^4)/d","A",0
20,1,123,0,0.357287," ","integrate(csc(d*x+c)^2*(a-a*csc(d*x+c))*(A-A*csc(d*x+c)),x, algorithm=""giac"")","\frac{A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 6 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 24 \, A a \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) + 21 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + \frac{44 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 21 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 6 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3}}}{24 \, d}"," ",0,"1/24*(A*a*tan(1/2*d*x + 1/2*c)^3 - 6*A*a*tan(1/2*d*x + 1/2*c)^2 - 24*A*a*log(abs(tan(1/2*d*x + 1/2*c))) + 21*A*a*tan(1/2*d*x + 1/2*c) + (44*A*a*tan(1/2*d*x + 1/2*c)^3 - 21*A*a*tan(1/2*d*x + 1/2*c)^2 + 6*A*a*tan(1/2*d*x + 1/2*c) - A*a)/tan(1/2*d*x + 1/2*c)^3)/d","A",0
21,1,93,0,0.546953," ","integrate(csc(d*x+c)*(a-a*csc(d*x+c))*(A-A*csc(d*x+c)),x, algorithm=""giac"")","\frac{A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 12 \, A a \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) - 8 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - \frac{18 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 8 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}}{8 \, d}"," ",0,"1/8*(A*a*tan(1/2*d*x + 1/2*c)^2 + 12*A*a*log(abs(tan(1/2*d*x + 1/2*c))) - 8*A*a*tan(1/2*d*x + 1/2*c) - (18*A*a*tan(1/2*d*x + 1/2*c)^2 - 8*A*a*tan(1/2*d*x + 1/2*c) + A*a)/tan(1/2*d*x + 1/2*c)^2)/d","A",0
22,1,49,0,0.668298," ","integrate((a-a*csc(d*x+c))*(A-A*csc(d*x+c))/csc(d*x+c),x, algorithm=""giac"")","-\frac{2 \, {\left(d x + c\right)} A a - A a \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) + \frac{2 \, A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1}}{d}"," ",0,"-(2*(d*x + c)*A*a - A*a*log(abs(tan(1/2*d*x + 1/2*c))) + 2*A*a/(tan(1/2*d*x + 1/2*c)^2 + 1))/d","A",0
23,1,79,0,0.353062," ","integrate((a-a*csc(d*x+c))*(A-A*csc(d*x+c))/csc(d*x+c)^2,x, algorithm=""giac"")","\frac{3 \, {\left(d x + c\right)} A a + \frac{2 \, {\left(A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 4 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, A a\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{2}}}{2 \, d}"," ",0,"1/2*(3*(d*x + c)*A*a + 2*(A*a*tan(1/2*d*x + 1/2*c)^3 + 4*A*a*tan(1/2*d*x + 1/2*c)^2 - A*a*tan(1/2*d*x + 1/2*c) + 4*A*a)/(tan(1/2*d*x + 1/2*c)^2 + 1)^2)/d","B",0
24,1,95,0,0.357132," ","integrate((a-a*csc(d*x+c))*(A-A*csc(d*x+c))/csc(d*x+c)^3,x, algorithm=""giac"")","-\frac{3 \, {\left(d x + c\right)} A a + \frac{2 \, {\left(3 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 3 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 12 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 3 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 5 \, A a\right)}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right)}^{3}}}{3 \, d}"," ",0,"-1/3*(3*(d*x + c)*A*a + 2*(3*A*a*tan(1/2*d*x + 1/2*c)^5 + 3*A*a*tan(1/2*d*x + 1/2*c)^4 + 12*A*a*tan(1/2*d*x + 1/2*c)^2 - 3*A*a*tan(1/2*d*x + 1/2*c) + 5*A*a)/(tan(1/2*d*x + 1/2*c)^2 + 1)^3)/d","A",0
