1,1,145,0,0.329091," ","integrate(csc(d*x+c)^3*(a+a*csc(d*x+c))*(A+A*csc(d*x+c)),x, algorithm=""maxima"")","\frac{3 \, A a {\left(\frac{2 \, {\left(3 \, \cos\left(d x + c\right)^{3} - 5 \, \cos\left(d x + c\right)\right)}}{\cos\left(d x + c\right)^{4} - 2 \, \cos\left(d x + c\right)^{2} + 1} - 3 \, \log\left(\cos\left(d x + c\right) + 1\right) + 3 \, \log\left(\cos\left(d x + c\right) - 1\right)\right)} + 12 \, A a {\left(\frac{2 \, \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{2} - 1} - \log\left(\cos\left(d x + c\right) + 1\right) + \log\left(\cos\left(d x + c\right) - 1\right)\right)} - \frac{32 \, {\left(3 \, \tan\left(d x + c\right)^{2} + 1\right)} A a}{\tan\left(d x + c\right)^{3}}}{48 \, d}"," ",0,"1/48*(3*A*a*(2*(3*cos(d*x + c)^3 - 5*cos(d*x + c))/(cos(d*x + c)^4 - 2*cos(d*x + c)^2 + 1) - 3*log(cos(d*x + c) + 1) + 3*log(cos(d*x + c) - 1)) + 12*A*a*(2*cos(d*x + c)/(cos(d*x + c)^2 - 1) - log(cos(d*x + c) + 1) + log(cos(d*x + c) - 1)) - 32*(3*tan(d*x + c)^2 + 1)*A*a/tan(d*x + c)^3)/d","A",0
2,1,87,0,0.331110," ","integrate(csc(d*x+c)^2*(a+a*csc(d*x+c))*(A+A*csc(d*x+c)),x, algorithm=""maxima"")","\frac{3 \, A a {\left(\frac{2 \, \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{2} - 1} - \log\left(\cos\left(d x + c\right) + 1\right) + \log\left(\cos\left(d x + c\right) - 1\right)\right)} - \frac{6 \, A a}{\tan\left(d x + c\right)} - \frac{2 \, {\left(3 \, \tan\left(d x + c\right)^{2} + 1\right)} A a}{\tan\left(d x + c\right)^{3}}}{6 \, d}"," ",0,"1/6*(3*A*a*(2*cos(d*x + c)/(cos(d*x + c)^2 - 1) - log(cos(d*x + c) + 1) + log(cos(d*x + c) - 1)) - 6*A*a/tan(d*x + c) - 2*(3*tan(d*x + c)^2 + 1)*A*a/tan(d*x + c)^3)/d","A",0
3,1,80,0,0.322809," ","integrate(csc(d*x+c)*(a+a*csc(d*x+c))*(A+A*csc(d*x+c)),x, algorithm=""maxima"")","\frac{A a {\left(\frac{2 \, \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{2} - 1} - \log\left(\cos\left(d x + c\right) + 1\right) + \log\left(\cos\left(d x + c\right) - 1\right)\right)} - 4 \, A a \log\left(\cot\left(d x + c\right) + \csc\left(d x + c\right)\right) - \frac{8 \, A a}{\tan\left(d x + c\right)}}{4 \, d}"," ",0,"1/4*(A*a*(2*cos(d*x + c)/(cos(d*x + c)^2 - 1) - log(cos(d*x + c) + 1) + log(cos(d*x + c) - 1)) - 4*A*a*log(cot(d*x + c) + csc(d*x + c)) - 8*A*a/tan(d*x + c))/d","A",0
4,1,50,0,0.318208," ","integrate((a+a*csc(d*x+c))*(A+A*csc(d*x+c))*sin(d*x+c),x, algorithm=""maxima"")","\frac{4 \, {\left(d x + c\right)} A a - A a {\left(\log\left(\cos\left(d x + c\right) + 1\right) - \log\left(\cos\left(d x + c\right) - 1\right)\right)} - 2 \, A a \cos\left(d x + c\right)}{2 \, d}"," ",0,"1/2*(4*(d*x + c)*A*a - A*a*(log(cos(d*x + c) + 1) - log(cos(d*x + c) - 1)) - 2*A*a*cos(d*x + c))/d","A",0
5,1,47,0,0.322750," ","integrate((a+a*csc(d*x+c))*(A+A*csc(d*x+c))*sin(d*x+c)^2,x, algorithm=""maxima"")","\frac{{\left(2 \, d x + 2 \, c - \sin\left(2 \, d x + 2 \, c\right)\right)} A a + 4 \, {\left(d x + c\right)} A a - 8 \, A a \cos\left(d x + c\right)}{4 \, d}"," ",0,"1/4*((2*d*x + 2*c - sin(2*d*x + 2*c))*A*a + 4*(d*x + c)*A*a - 8*A*a*cos(d*x + c))/d","A",0
6,1,60,0,0.319105," ","integrate((a+a*csc(d*x+c))*(A+A*csc(d*x+c))*sin(d*x+c)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(\cos\left(d x + c\right)^{3} - 3 \, \cos\left(d x + c\right)\right)} A a + 3 \, {\left(2 \, d x + 2 \, c - \sin\left(2 \, d x + 2 \, c\right)\right)} A a - 6 \, A a \cos\left(d x + c\right)}{6 \, d}"," ",0,"1/6*(2*(cos(d*x + c)^3 - 3*cos(d*x + c))*A*a + 3*(2*d*x + 2*c - sin(2*d*x + 2*c))*A*a - 6*A*a*cos(d*x + c))/d","A",0
7,1,120,0,0.318974," ","integrate(csc(d*x+c)^3*(a-a*csc(d*x+c))*(A+A*csc(d*x+c)),x, algorithm=""maxima"")","-\frac{A a {\left(\frac{2 \, {\left(3 \, \cos\left(d x + c\right)^{3} - 5 \, \cos\left(d x + c\right)\right)}}{\cos\left(d x + c\right)^{4} - 2 \, \cos\left(d x + c\right)^{2} + 1} - 3 \, \log\left(\cos\left(d x + c\right) + 1\right) + 3 \, \log\left(\cos\left(d x + c\right) - 1\right)\right)} - 4 \, A a {\left(\frac{2 \, \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{2} - 1} - \log\left(\cos\left(d x + c\right) + 1\right) + \log\left(\cos\left(d x + c\right) - 1\right)\right)}}{16 \, d}"," ",0,"-1/16*(A*a*(2*(3*cos(d*x + c)^3 - 5*cos(d*x + c))/(cos(d*x + c)^4 - 2*cos(d*x + c)^2 + 1) - 3*log(cos(d*x + c) + 1) + 3*log(cos(d*x + c) - 1)) - 4*A*a*(2*cos(d*x + c)/(cos(d*x + c)^2 - 1) - log(cos(d*x + c) + 1) + log(cos(d*x + c) - 1)))/d","B",0
8,1,42,0,0.322212," ","integrate(csc(d*x+c)^2*(a-a*csc(d*x+c))*(A+A*csc(d*x+c)),x, algorithm=""maxima"")","-\frac{\frac{3 \, A a}{\tan\left(d x + c\right)} - \frac{{\left(3 \, \tan\left(d x + c\right)^{2} + 1\right)} A a}{\tan\left(d x + c\right)^{3}}}{3 \, d}"," ",0,"-1/3*(3*A*a/tan(d*x + c) - (3*tan(d*x + c)^2 + 1)*A*a/tan(d*x + c)^3)/d","B",0
9,1,68,0,0.331245," ","integrate(csc(d*x+c)*(a-a*csc(d*x+c))*(A+A*csc(d*x+c)),x, algorithm=""maxima"")","-\frac{A a {\left(\frac{2 \, \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{2} - 1} - \log\left(\cos\left(d x + c\right) + 1\right) + \log\left(\cos\left(d x + c\right) - 1\right)\right)} + 4 \, A a \log\left(\cot\left(d x + c\right) + \csc\left(d x + c\right)\right)}{4 \, d}"," ",0,"-1/4*(A*a*(2*cos(d*x + c)/(cos(d*x + c)^2 - 1) - log(cos(d*x + c) + 1) + log(cos(d*x + c) - 1)) + 4*A*a*log(cot(d*x + c) + csc(d*x + c)))/d","A",0
10,1,40,0,0.333008," ","integrate((a-a*csc(d*x+c))*(A+A*csc(d*x+c))*sin(d*x+c),x, algorithm=""maxima"")","\frac{A a {\left(\log\left(\cos\left(d x + c\right) + 1\right) - \log\left(\cos\left(d x + c\right) - 1\right)\right)} - 2 \, A a \cos\left(d x + c\right)}{2 \, d}"," ",0,"1/2*(A*a*(log(cos(d*x + c) + 1) - log(cos(d*x + c) - 1)) - 2*A*a*cos(d*x + c))/d","A",0
11,1,37,0,0.324611," ","integrate((a-a*csc(d*x+c))*(A+A*csc(d*x+c))*sin(d*x+c)^2,x, algorithm=""maxima"")","\frac{{\left(2 \, d x + 2 \, c - \sin\left(2 \, d x + 2 \, c\right)\right)} A a - 4 \, {\left(d x + c\right)} A a}{4 \, d}"," ",0,"1/4*((2*d*x + 2*c - sin(2*d*x + 2*c))*A*a - 4*(d*x + c)*A*a)/d","A",0
12,1,36,0,0.325926," ","integrate((a-a*csc(d*x+c))*(A+A*csc(d*x+c))*sin(d*x+c)^3,x, algorithm=""maxima"")","\frac{{\left(\cos\left(d x + c\right)^{3} - 3 \, \cos\left(d x + c\right)\right)} A a + 3 \, A a \cos\left(d x + c\right)}{3 \, d}"," ",0,"1/3*((cos(d*x + c)^3 - 3*cos(d*x + c))*A*a + 3*A*a*cos(d*x + c))/d","B",0
13,1,120,0,0.321414," ","integrate(csc(d*x+c)^3*(a+a*csc(d*x+c))*(A-A*csc(d*x+c)),x, algorithm=""maxima"")","-\frac{A a {\left(\frac{2 \, {\left(3 \, \cos\left(d x + c\right)^{3} - 5 \, \cos\left(d x + c\right)\right)}}{\cos\left(d x + c\right)^{4} - 2 \, \cos\left(d x + c\right)^{2} + 1} - 3 \, \log\left(\cos\left(d x + c\right) + 1\right) + 3 \, \log\left(\cos\left(d x + c\right) - 1\right)\right)} - 4 \, A a {\left(\frac{2 \, \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{2} - 1} - \log\left(\cos\left(d x + c\right) + 1\right) + \log\left(\cos\left(d x + c\right) - 1\right)\right)}}{16 \, d}"," ",0,"-1/16*(A*a*(2*(3*cos(d*x + c)^3 - 5*cos(d*x + c))/(cos(d*x + c)^4 - 2*cos(d*x + c)^2 + 1) - 3*log(cos(d*x + c) + 1) + 3*log(cos(d*x + c) - 1)) - 4*A*a*(2*cos(d*x + c)/(cos(d*x + c)^2 - 1) - log(cos(d*x + c) + 1) + log(cos(d*x + c) - 1)))/d","B",0
14,1,42,0,0.334802," ","integrate(csc(d*x+c)^2*(a+a*csc(d*x+c))*(A-A*csc(d*x+c)),x, algorithm=""maxima"")","-\frac{\frac{3 \, A a}{\tan\left(d x + c\right)} - \frac{{\left(3 \, \tan\left(d x + c\right)^{2} + 1\right)} A a}{\tan\left(d x + c\right)^{3}}}{3 \, d}"," ",0,"-1/3*(3*A*a/tan(d*x + c) - (3*tan(d*x + c)^2 + 1)*A*a/tan(d*x + c)^3)/d","B",0
15,1,68,0,0.326988," ","integrate(csc(d*x+c)*(a+a*csc(d*x+c))*(A-A*csc(d*x+c)),x, algorithm=""maxima"")","-\frac{A a {\left(\frac{2 \, \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{2} - 1} - \log\left(\cos\left(d x + c\right) + 1\right) + \log\left(\cos\left(d x + c\right) - 1\right)\right)} + 4 \, A a \log\left(\cot\left(d x + c\right) + \csc\left(d x + c\right)\right)}{4 \, d}"," ",0,"-1/4*(A*a*(2*cos(d*x + c)/(cos(d*x + c)^2 - 1) - log(cos(d*x + c) + 1) + log(cos(d*x + c) - 1)) + 4*A*a*log(cot(d*x + c) + csc(d*x + c)))/d","A",0
16,1,33,0,0.329871," ","integrate((a+a*csc(d*x+c))*(A-A*csc(d*x+c))/csc(d*x+c),x, algorithm=""maxima"")","-\frac{A a \cos\left(d x + c\right) - A a \log\left(\cot\left(d x + c\right) + \csc\left(d x + c\right)\right)}{d}"," ",0,"-(A*a*cos(d*x + c) - A*a*log(cot(d*x + c) + csc(d*x + c)))/d","A",0
17,1,37,0,0.321939," ","integrate((a+a*csc(d*x+c))*(A-A*csc(d*x+c))/csc(d*x+c)^2,x, algorithm=""maxima"")","\frac{{\left(2 \, d x + 2 \, c - \sin\left(2 \, d x + 2 \, c\right)\right)} A a - 4 \, {\left(d x + c\right)} A a}{4 \, d}"," ",0,"1/4*((2*d*x + 2*c - sin(2*d*x + 2*c))*A*a - 4*(d*x + c)*A*a)/d","A",0
18,1,36,0,0.320939," ","integrate((a+a*csc(d*x+c))*(A-A*csc(d*x+c))/csc(d*x+c)^3,x, algorithm=""maxima"")","\frac{{\left(\cos\left(d x + c\right)^{3} - 3 \, \cos\left(d x + c\right)\right)} A a + 3 \, A a \cos\left(d x + c\right)}{3 \, d}"," ",0,"1/3*((cos(d*x + c)^3 - 3*cos(d*x + c))*A*a + 3*A*a*cos(d*x + c))/d","B",0
19,1,145,0,0.331322," ","integrate(csc(d*x+c)^3*(a-a*csc(d*x+c))*(A-A*csc(d*x+c)),x, algorithm=""maxima"")","\frac{3 \, A a {\left(\frac{2 \, {\left(3 \, \cos\left(d x + c\right)^{3} - 5 \, \cos\left(d x + c\right)\right)}}{\cos\left(d x + c\right)^{4} - 2 \, \cos\left(d x + c\right)^{2} + 1} - 3 \, \log\left(\cos\left(d x + c\right) + 1\right) + 3 \, \log\left(\cos\left(d x + c\right) - 1\right)\right)} + 12 \, A a {\left(\frac{2 \, \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{2} - 1} - \log\left(\cos\left(d x + c\right) + 1\right) + \log\left(\cos\left(d x + c\right) - 1\right)\right)} + \frac{32 \, {\left(3 \, \tan\left(d x + c\right)^{2} + 1\right)} A a}{\tan\left(d x + c\right)^{3}}}{48 \, d}"," ",0,"1/48*(3*A*a*(2*(3*cos(d*x + c)^3 - 5*cos(d*x + c))/(cos(d*x + c)^4 - 2*cos(d*x + c)^2 + 1) - 3*log(cos(d*x + c) + 1) + 3*log(cos(d*x + c) - 1)) + 12*A*a*(2*cos(d*x + c)/(cos(d*x + c)^2 - 1) - log(cos(d*x + c) + 1) + log(cos(d*x + c) - 1)) + 32*(3*tan(d*x + c)^2 + 1)*A*a/tan(d*x + c)^3)/d","A",0
20,1,87,0,0.336031," ","integrate(csc(d*x+c)^2*(a-a*csc(d*x+c))*(A-A*csc(d*x+c)),x, algorithm=""maxima"")","-\frac{3 \, A a {\left(\frac{2 \, \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{2} - 1} - \log\left(\cos\left(d x + c\right) + 1\right) + \log\left(\cos\left(d x + c\right) - 1\right)\right)} + \frac{6 \, A a}{\tan\left(d x + c\right)} + \frac{2 \, {\left(3 \, \tan\left(d x + c\right)^{2} + 1\right)} A a}{\tan\left(d x + c\right)^{3}}}{6 \, d}"," ",0,"-1/6*(3*A*a*(2*cos(d*x + c)/(cos(d*x + c)^2 - 1) - log(cos(d*x + c) + 1) + log(cos(d*x + c) - 1)) + 6*A*a/tan(d*x + c) + 2*(3*tan(d*x + c)^2 + 1)*A*a/tan(d*x + c)^3)/d","A",0
21,1,80,0,0.321601," ","integrate(csc(d*x+c)*(a-a*csc(d*x+c))*(A-A*csc(d*x+c)),x, algorithm=""maxima"")","\frac{A a {\left(\frac{2 \, \cos\left(d x + c\right)}{\cos\left(d x + c\right)^{2} - 1} - \log\left(\cos\left(d x + c\right) + 1\right) + \log\left(\cos\left(d x + c\right) - 1\right)\right)} - 4 \, A a \log\left(\cot\left(d x + c\right) + \csc\left(d x + c\right)\right) + \frac{8 \, A a}{\tan\left(d x + c\right)}}{4 \, d}"," ",0,"1/4*(A*a*(2*cos(d*x + c)/(cos(d*x + c)^2 - 1) - log(cos(d*x + c) + 1) + log(cos(d*x + c) - 1)) - 4*A*a*log(cot(d*x + c) + csc(d*x + c)) + 8*A*a/tan(d*x + c))/d","A",0
22,1,41,0,0.309172," ","integrate((a-a*csc(d*x+c))*(A-A*csc(d*x+c))/csc(d*x+c),x, algorithm=""maxima"")","-\frac{2 \, {\left(d x + c\right)} A a + A a \cos\left(d x + c\right) + A a \log\left(\cot\left(d x + c\right) + \csc\left(d x + c\right)\right)}{d}"," ",0,"-(2*(d*x + c)*A*a + A*a*cos(d*x + c) + A*a*log(cot(d*x + c) + csc(d*x + c)))/d","A",0
23,1,47,0,0.309252," ","integrate((a-a*csc(d*x+c))*(A-A*csc(d*x+c))/csc(d*x+c)^2,x, algorithm=""maxima"")","\frac{{\left(2 \, d x + 2 \, c - \sin\left(2 \, d x + 2 \, c\right)\right)} A a + 4 \, {\left(d x + c\right)} A a + 8 \, A a \cos\left(d x + c\right)}{4 \, d}"," ",0,"1/4*((2*d*x + 2*c - sin(2*d*x + 2*c))*A*a + 4*(d*x + c)*A*a + 8*A*a*cos(d*x + c))/d","A",0
24,1,60,0,0.317228," ","integrate((a-a*csc(d*x+c))*(A-A*csc(d*x+c))/csc(d*x+c)^3,x, algorithm=""maxima"")","\frac{2 \, {\left(\cos\left(d x + c\right)^{3} - 3 \, \cos\left(d x + c\right)\right)} A a - 3 \, {\left(2 \, d x + 2 \, c - \sin\left(2 \, d x + 2 \, c\right)\right)} A a - 6 \, A a \cos\left(d x + c\right)}{6 \, d}"," ",0,"1/6*(2*(cos(d*x + c)^3 - 3*cos(d*x + c))*A*a - 3*(2*d*x + 2*c - sin(2*d*x + 2*c))*A*a - 6*A*a*cos(d*x + c))/d","A",0
