1,1,242,91,0.449344,"\text{Not used}","int(((A + A/sin(c + d*x))*(a + a/sin(c + d*x)))/sin(c + d*x)^3,x)","\frac{A\,a\,\left(3\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8-3\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+16\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7-16\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)+48\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+144\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5-144\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-48\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+168\,\ln\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\right)}{192\,d\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}","Not used",1,"(A*a*(3*sin(c/2 + (d*x)/2)^8 - 3*cos(c/2 + (d*x)/2)^8 + 16*cos(c/2 + (d*x)/2)*sin(c/2 + (d*x)/2)^7 - 16*cos(c/2 + (d*x)/2)^7*sin(c/2 + (d*x)/2) + 48*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^6 + 144*cos(c/2 + (d*x)/2)^3*sin(c/2 + (d*x)/2)^5 - 144*cos(c/2 + (d*x)/2)^5*sin(c/2 + (d*x)/2)^3 - 48*cos(c/2 + (d*x)/2)^6*sin(c/2 + (d*x)/2)^2 + 168*log(sin(c/2 + (d*x)/2)/cos(c/2 + (d*x)/2))*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^4))/(192*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^4)","B"
2,1,118,72,0.313583,"\text{Not used}","int(((A + A/sin(c + d*x))*(a + a/sin(c + d*x)))/sin(c + d*x)^2,x)","\frac{A\,a\,\ln\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{{\mathrm{cot}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,\left(7\,A\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+2\,A\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\frac{A\,a}{3}\right)}{8\,d}+\frac{7\,A\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{8\,d}+\frac{A\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{4\,d}+\frac{A\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{24\,d}","Not used",1,"(A*a*log(tan(c/2 + (d*x)/2)))/d - (cot(c/2 + (d*x)/2)^3*((A*a)/3 + 7*A*a*tan(c/2 + (d*x)/2)^2 + 2*A*a*tan(c/2 + (d*x)/2)))/(8*d) + (7*A*a*tan(c/2 + (d*x)/2))/(8*d) + (A*a*tan(c/2 + (d*x)/2)^2)/(4*d) + (A*a*tan(c/2 + (d*x)/2)^3)/(24*d)","B"
3,1,84,51,0.278128,"\text{Not used}","int(((A + A/sin(c + d*x))*(a + a/sin(c + d*x)))/sin(c + d*x),x)","\frac{3\,A\,a\,\ln\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{2\,d}-\frac{{\mathrm{cot}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(\frac{A\,a}{8}+A\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}+\frac{A\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{d}+\frac{A\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{8\,d}","Not used",1,"(3*A*a*log(tan(c/2 + (d*x)/2)))/(2*d) - (cot(c/2 + (d*x)/2)^2*((A*a)/8 + A*a*tan(c/2 + (d*x)/2)))/d + (A*a*tan(c/2 + (d*x)/2))/d + (A*a*tan(c/2 + (d*x)/2)^2)/(8*d)","B"
4,1,129,33,0.303320,"\text{Not used}","int(sin(c + d*x)*(A + A/sin(c + d*x))*(a + a/sin(c + d*x)),x)","\frac{A\,a\,\ln\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{2\,A\,a}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}+\frac{4\,A\,a\,\mathrm{atan}\left(\frac{16\,A^2\,a^2}{8\,A^2\,a^2-16\,A^2\,a^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}+\frac{8\,A^2\,a^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{8\,A^2\,a^2-16\,A^2\,a^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)}{d}","Not used",1,"(A*a*log(tan(c/2 + (d*x)/2)))/d - (2*A*a)/(d*(tan(c/2 + (d*x)/2)^2 + 1)) + (4*A*a*atan((16*A^2*a^2)/(8*A^2*a^2 - 16*A^2*a^2*tan(c/2 + (d*x)/2)) + (8*A^2*a^2*tan(c/2 + (d*x)/2))/(8*A^2*a^2 - 16*A^2*a^2*tan(c/2 + (d*x)/2))))/d","B"
5,1,116,42,0.394809,"\text{Not used}","int(sin(c + d*x)^2*(A + A/sin(c + d*x))*(a + a/sin(c + d*x)),x)","\frac{3\,A\,a\,x}{2}-\frac{-A\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+\left(A\,a\,\left(3\,c+3\,d\,x\right)-\frac{A\,a\,\left(6\,c+6\,d\,x-8\right)}{2}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+A\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\frac{A\,a\,\left(3\,c+3\,d\,x\right)}{2}-\frac{A\,a\,\left(3\,c+3\,d\,x-8\right)}{2}}{d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^2}","Not used",1,"(3*A*a*x)/2 - (tan(c/2 + (d*x)/2)^2*(A*a*(3*c + 3*d*x) - (A*a*(6*c + 6*d*x - 8))/2) - A*a*tan(c/2 + (d*x)/2)^3 + (A*a*(3*c + 3*d*x))/2 - (A*a*(3*c + 3*d*x - 8))/2 + A*a*tan(c/2 + (d*x)/2))/(d*(tan(c/2 + (d*x)/2)^2 + 1)^2)","B"
6,1,153,54,0.841930,"\text{Not used}","int(sin(c + d*x)^3*(A + A/sin(c + d*x))*(a + a/sin(c + d*x)),x)","A\,a\,x-\frac{-2\,A\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+\left(A\,a\,\left(3\,c+3\,d\,x\right)-\frac{A\,a\,\left(9\,c+9\,d\,x-6\right)}{3}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+\left(A\,a\,\left(3\,c+3\,d\,x\right)-\frac{A\,a\,\left(9\,c+9\,d\,x-24\right)}{3}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+2\,A\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\frac{A\,a\,\left(3\,c+3\,d\,x\right)}{3}-\frac{A\,a\,\left(3\,c+3\,d\,x-10\right)}{3}}{d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^3}","Not used",1,"A*a*x - (tan(c/2 + (d*x)/2)^4*(A*a*(3*c + 3*d*x) - (A*a*(9*c + 9*d*x - 6))/3) + tan(c/2 + (d*x)/2)^2*(A*a*(3*c + 3*d*x) - (A*a*(9*c + 9*d*x - 24))/3) - 2*A*a*tan(c/2 + (d*x)/2)^5 + (A*a*(3*c + 3*d*x))/3 - (A*a*(3*c + 3*d*x - 10))/3 + 2*A*a*tan(c/2 + (d*x)/2))/(d*(tan(c/2 + (d*x)/2)^2 + 1)^3)","B"
7,1,56,61,0.305501,"\text{Not used}","int(((A + A/sin(c + d*x))*(a - a/sin(c + d*x)))/sin(c + d*x)^3,x)","\frac{A\,a\,\left(8\,\ln\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+1\right)}{64\,d\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}","Not used",1,"(A*a*(8*log(tan(c/2 + (d*x)/2))*tan(c/2 + (d*x)/2)^4 - tan(c/2 + (d*x)/2)^8 + 1))/(64*d*tan(c/2 + (d*x)/2)^4)","B"
8,1,15,17,0.272353,"\text{Not used}","int(((A + A/sin(c + d*x))*(a - a/sin(c + d*x)))/sin(c + d*x)^2,x)","\frac{A\,a\,{\mathrm{cot}\left(c+d\,x\right)}^3}{3\,d}","Not used",1,"(A*a*cot(c + d*x)^3)/(3*d)","B"
9,1,56,38,0.262086,"\text{Not used}","int(((A + A/sin(c + d*x))*(a - a/sin(c + d*x)))/sin(c + d*x),x)","\frac{A\,a\,\left(4\,\ln\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+1\right)}{8\,d\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}","Not used",1,"(A*a*(4*log(tan(c/2 + (d*x)/2))*tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)^4 + 1))/(8*d*tan(c/2 + (d*x)/2)^2)","B"
10,1,40,27,0.304640,"\text{Not used}","int(sin(c + d*x)*(A + A/sin(c + d*x))*(a - a/sin(c + d*x)),x)","-\frac{A\,a\,\ln\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{2\,A\,a}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}","Not used",1,"- (A*a*log(tan(c/2 + (d*x)/2)))/d - (2*A*a)/(d*(tan(c/2 + (d*x)/2)^2 + 1))","B"
11,1,53,29,0.663740,"\text{Not used}","int(sin(c + d*x)^2*(A + A/sin(c + d*x))*(a - a/sin(c + d*x)),x)","\frac{A\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-A\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^2}-\frac{A\,a\,x}{2}","Not used",1,"(A*a*tan(c/2 + (d*x)/2)^3 - A*a*tan(c/2 + (d*x)/2))/(d*(tan(c/2 + (d*x)/2)^2 + 1)^2) - (A*a*x)/2","B"
12,1,15,17,0.271616,"\text{Not used}","int(sin(c + d*x)^3*(A + A/sin(c + d*x))*(a - a/sin(c + d*x)),x)","\frac{A\,a\,{\cos\left(c+d\,x\right)}^3}{3\,d}","Not used",1,"(A*a*cos(c + d*x)^3)/(3*d)","B"
13,1,56,61,0.244727,"\text{Not used}","int(((A - A/sin(c + d*x))*(a + a/sin(c + d*x)))/sin(c + d*x)^3,x)","\frac{A\,a\,\left(8\,\ln\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+1\right)}{64\,d\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}","Not used",1,"(A*a*(8*log(tan(c/2 + (d*x)/2))*tan(c/2 + (d*x)/2)^4 - tan(c/2 + (d*x)/2)^8 + 1))/(64*d*tan(c/2 + (d*x)/2)^4)","B"
14,1,15,17,0.208942,"\text{Not used}","int(((A - A/sin(c + d*x))*(a + a/sin(c + d*x)))/sin(c + d*x)^2,x)","\frac{A\,a\,{\mathrm{cot}\left(c+d\,x\right)}^3}{3\,d}","Not used",1,"(A*a*cot(c + d*x)^3)/(3*d)","B"
15,1,56,38,0.212503,"\text{Not used}","int(((A - A/sin(c + d*x))*(a + a/sin(c + d*x)))/sin(c + d*x),x)","\frac{A\,a\,\left(4\,\ln\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+1\right)}{8\,d\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}","Not used",1,"(A*a*(4*log(tan(c/2 + (d*x)/2))*tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)^4 + 1))/(8*d*tan(c/2 + (d*x)/2)^2)","B"
16,1,40,27,0.224142,"\text{Not used}","int(sin(c + d*x)*(A - A/sin(c + d*x))*(a + a/sin(c + d*x)),x)","-\frac{A\,a\,\ln\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{2\,A\,a}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}","Not used",1,"- (A*a*log(tan(c/2 + (d*x)/2)))/d - (2*A*a)/(d*(tan(c/2 + (d*x)/2)^2 + 1))","B"
17,1,53,29,0.600700,"\text{Not used}","int(sin(c + d*x)^2*(A - A/sin(c + d*x))*(a + a/sin(c + d*x)),x)","\frac{A\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-A\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^2}-\frac{A\,a\,x}{2}","Not used",1,"(A*a*tan(c/2 + (d*x)/2)^3 - A*a*tan(c/2 + (d*x)/2))/(d*(tan(c/2 + (d*x)/2)^2 + 1)^2) - (A*a*x)/2","B"
18,1,15,17,0.220494,"\text{Not used}","int(sin(c + d*x)^3*(A - A/sin(c + d*x))*(a + a/sin(c + d*x)),x)","\frac{A\,a\,{\cos\left(c+d\,x\right)}^3}{3\,d}","Not used",1,"(A*a*cos(c + d*x)^3)/(3*d)","B"
19,1,242,91,0.409247,"\text{Not used}","int(((A - A/sin(c + d*x))*(a - a/sin(c + d*x)))/sin(c + d*x)^3,x)","\frac{A\,a\,\left(3\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8-3\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8-16\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7+16\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)+48\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-144\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+144\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-48\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+168\,\ln\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\right)}{192\,d\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}","Not used",1,"(A*a*(3*sin(c/2 + (d*x)/2)^8 - 3*cos(c/2 + (d*x)/2)^8 - 16*cos(c/2 + (d*x)/2)*sin(c/2 + (d*x)/2)^7 + 16*cos(c/2 + (d*x)/2)^7*sin(c/2 + (d*x)/2) + 48*cos(c/2 + (d*x)/2)^2*sin(c/2 + (d*x)/2)^6 - 144*cos(c/2 + (d*x)/2)^3*sin(c/2 + (d*x)/2)^5 + 144*cos(c/2 + (d*x)/2)^5*sin(c/2 + (d*x)/2)^3 - 48*cos(c/2 + (d*x)/2)^6*sin(c/2 + (d*x)/2)^2 + 168*log(sin(c/2 + (d*x)/2)/cos(c/2 + (d*x)/2))*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^4))/(192*d*cos(c/2 + (d*x)/2)^4*sin(c/2 + (d*x)/2)^4)","B"
20,1,119,70,0.296335,"\text{Not used}","int(((A - A/sin(c + d*x))*(a - a/sin(c + d*x)))/sin(c + d*x)^2,x)","\frac{7\,A\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{8\,d}-\frac{A\,a\,\ln\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{{\mathrm{cot}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,\left(7\,A\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-2\,A\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\frac{A\,a}{3}\right)}{8\,d}-\frac{A\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{4\,d}+\frac{A\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{24\,d}","Not used",1,"(7*A*a*tan(c/2 + (d*x)/2))/(8*d) - (A*a*log(tan(c/2 + (d*x)/2)))/d - (cot(c/2 + (d*x)/2)^3*((A*a)/3 + 7*A*a*tan(c/2 + (d*x)/2)^2 - 2*A*a*tan(c/2 + (d*x)/2)))/(8*d) - (A*a*tan(c/2 + (d*x)/2)^2)/(4*d) + (A*a*tan(c/2 + (d*x)/2)^3)/(24*d)","B"
21,1,86,51,0.277761,"\text{Not used}","int(((A - A/sin(c + d*x))*(a - a/sin(c + d*x)))/sin(c + d*x),x)","\frac{3\,A\,a\,\ln\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{2\,d}-\frac{{\mathrm{cot}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(\frac{A\,a}{8}-A\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{A\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{d}+\frac{A\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{8\,d}","Not used",1,"(3*A*a*log(tan(c/2 + (d*x)/2)))/(2*d) - (cot(c/2 + (d*x)/2)^2*((A*a)/8 - A*a*tan(c/2 + (d*x)/2)))/d - (A*a*tan(c/2 + (d*x)/2))/d + (A*a*tan(c/2 + (d*x)/2)^2)/(8*d)","B"
22,1,129,33,0.288015,"\text{Not used}","int(sin(c + d*x)*(A - A/sin(c + d*x))*(a - a/sin(c + d*x)),x)","\frac{A\,a\,\ln\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{2\,A\,a}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}+\frac{4\,A\,a\,\mathrm{atan}\left(\frac{16\,A^2\,a^2}{8\,A^2\,a^2+16\,A^2\,a^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}-\frac{8\,A^2\,a^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{8\,A^2\,a^2+16\,A^2\,a^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)}{d}","Not used",1,"(A*a*log(tan(c/2 + (d*x)/2)))/d - (2*A*a)/(d*(tan(c/2 + (d*x)/2)^2 + 1)) + (4*A*a*atan((16*A^2*a^2)/(8*A^2*a^2 + 16*A^2*a^2*tan(c/2 + (d*x)/2)) - (8*A^2*a^2*tan(c/2 + (d*x)/2))/(8*A^2*a^2 + 16*A^2*a^2*tan(c/2 + (d*x)/2))))/d","B"
23,1,116,42,0.393235,"\text{Not used}","int(sin(c + d*x)^2*(A - A/sin(c + d*x))*(a - a/sin(c + d*x)),x)","\frac{3\,A\,a\,x}{2}-\frac{-A\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+\left(A\,a\,\left(3\,c+3\,d\,x\right)-\frac{A\,a\,\left(6\,c+6\,d\,x+8\right)}{2}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+A\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\frac{A\,a\,\left(3\,c+3\,d\,x\right)}{2}-\frac{A\,a\,\left(3\,c+3\,d\,x+8\right)}{2}}{d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^2}","Not used",1,"(3*A*a*x)/2 - (tan(c/2 + (d*x)/2)^2*(A*a*(3*c + 3*d*x) - (A*a*(6*c + 6*d*x + 8))/2) - A*a*tan(c/2 + (d*x)/2)^3 + (A*a*(3*c + 3*d*x))/2 - (A*a*(3*c + 3*d*x + 8))/2 + A*a*tan(c/2 + (d*x)/2))/(d*(tan(c/2 + (d*x)/2)^2 + 1)^2)","B"
24,1,153,54,0.794617,"\text{Not used}","int(sin(c + d*x)^3*(A - A/sin(c + d*x))*(a - a/sin(c + d*x)),x)","\frac{-2\,A\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+\left(A\,a\,\left(3\,c+3\,d\,x\right)-\frac{A\,a\,\left(9\,c+9\,d\,x+6\right)}{3}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+\left(A\,a\,\left(3\,c+3\,d\,x\right)-\frac{A\,a\,\left(9\,c+9\,d\,x+24\right)}{3}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+2\,A\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\frac{A\,a\,\left(3\,c+3\,d\,x\right)}{3}-\frac{A\,a\,\left(3\,c+3\,d\,x+10\right)}{3}}{d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^3}-A\,a\,x","Not used",1,"(tan(c/2 + (d*x)/2)^4*(A*a*(3*c + 3*d*x) - (A*a*(9*c + 9*d*x + 6))/3) + tan(c/2 + (d*x)/2)^2*(A*a*(3*c + 3*d*x) - (A*a*(9*c + 9*d*x + 24))/3) - 2*A*a*tan(c/2 + (d*x)/2)^5 + (A*a*(3*c + 3*d*x))/3 - (A*a*(3*c + 3*d*x + 10))/3 + 2*A*a*tan(c/2 + (d*x)/2))/(d*(tan(c/2 + (d*x)/2)^2 + 1)^3) - A*a*x","B"