1,1,63,0,0.439042," ","integrate(sin(x)^4/(I+cot(x)),x, algorithm=""giac"")","\frac{15 \, \tan\left(x\right)^{2} + 18 i \, \tan\left(x\right) - 5}{64 \, {\left(-i \, \tan\left(x\right) + 1\right)}^{2}} + \frac{55 \, \tan\left(x\right)^{3} - 69 i \, \tan\left(x\right)^{2} - 15 \, \tan\left(x\right) - 7 i}{192 \, {\left(\tan\left(x\right) - i\right)}^{3}} + \frac{5}{32} \, \log\left(\tan\left(x\right) + i\right) - \frac{5}{32} \, \log\left(\tan\left(x\right) - i\right)"," ",0,"1/64*(15*tan(x)^2 + 18*I*tan(x) - 5)/(-I*tan(x) + 1)^2 + 1/192*(55*tan(x)^3 - 69*I*tan(x)^2 - 15*tan(x) - 7*I)/(tan(x) - I)^3 + 5/32*log(tan(x) + I) - 5/32*log(tan(x) - I)","A",0
2,1,69,0,0.356817," ","integrate(sin(x)^3/(I+cot(x)),x, algorithm=""giac"")","-\frac{9 \, \tan\left(\frac{1}{2} \, x\right)^{2} + 24 i \, \tan\left(\frac{1}{2} \, x\right) - 11}{24 \, {\left(\tan\left(\frac{1}{2} \, x\right) + i\right)}^{3}} + \frac{45 \, \tan\left(\frac{1}{2} \, x\right)^{4} - 240 i \, \tan\left(\frac{1}{2} \, x\right)^{3} - 490 \, \tan\left(\frac{1}{2} \, x\right)^{2} + 320 i \, \tan\left(\frac{1}{2} \, x\right) + 73}{120 \, {\left(\tan\left(\frac{1}{2} \, x\right) - i\right)}^{5}}"," ",0,"-1/24*(9*tan(1/2*x)^2 + 24*I*tan(1/2*x) - 11)/(tan(1/2*x) + I)^3 + 1/120*(45*tan(1/2*x)^4 - 240*I*tan(1/2*x)^3 - 490*tan(1/2*x)^2 + 320*I*tan(1/2*x) + 73)/(tan(1/2*x) - I)^5","B",0
3,1,51,0,0.361850," ","integrate(sin(x)^2/(I+cot(x)),x, algorithm=""giac"")","-\frac{-3 i \, \tan\left(x\right) + 1}{16 \, {\left(-i \, \tan\left(x\right) + 1\right)}} + \frac{9 \, \tan\left(x\right)^{2} - 2 i \, \tan\left(x\right) + 3}{32 \, {\left(\tan\left(x\right) - i\right)}^{2}} + \frac{3}{16} \, \log\left(\tan\left(x\right) + i\right) - \frac{3}{16} \, \log\left(\tan\left(x\right) - i\right)"," ",0,"-1/16*(-3*I*tan(x) + 1)/(-I*tan(x) + 1) + 1/32*(9*tan(x)^2 - 2*I*tan(x) + 3)/(tan(x) - I)^2 + 3/16*log(tan(x) + I) - 3/16*log(tan(x) - I)","A",0
4,1,37,0,0.571034," ","integrate(sin(x)/(I+cot(x)),x, algorithm=""giac"")","-\frac{1}{2 \, {\left(\tan\left(\frac{1}{2} \, x\right) + i\right)}} + \frac{3 \, \tan\left(\frac{1}{2} \, x\right)^{2} - 12 i \, \tan\left(\frac{1}{2} \, x\right) - 5}{6 \, {\left(\tan\left(\frac{1}{2} \, x\right) - i\right)}^{3}}"," ",0,"-1/2/(tan(1/2*x) + I) + 1/6*(3*tan(1/2*x)^2 - 12*I*tan(1/2*x) - 5)/(tan(1/2*x) - I)^3","B",0
5,1,10,0,1.147643," ","integrate(csc(x)/(I+cot(x)),x, algorithm=""giac"")","\frac{2}{\tan\left(\frac{1}{2} \, x\right) - i}"," ",0,"2/(tan(1/2*x) - I)","A",0
6,1,15,0,0.489682," ","integrate(csc(x)^2/(I+cot(x)),x, algorithm=""giac"")","-2 \, \log\left(\tan\left(\frac{1}{2} \, x\right) - i\right) + \log\left(\tan\left(\frac{1}{2} \, x\right)\right)"," ",0,"-2*log(tan(1/2*x) - I) + log(tan(1/2*x))","B",0
7,1,30,0,2.452970," ","integrate(csc(x)^3/(I+cot(x)),x, algorithm=""giac"")","-\frac{-2 i \, \tan\left(\frac{1}{2} \, x\right) + 1}{2 \, \tan\left(\frac{1}{2} \, x\right)} - i \, \log\left(\tan\left(\frac{1}{2} \, x\right)\right) - \frac{1}{2} \, \tan\left(\frac{1}{2} \, x\right)"," ",0,"-1/2*(-2*I*tan(1/2*x) + 1)/tan(1/2*x) - I*log(tan(1/2*x)) - 1/2*tan(1/2*x)","B",0
8,1,12,0,1.973680," ","integrate(csc(x)^4/(I+cot(x)),x, algorithm=""giac"")","-\frac{-2 i \, \tan\left(x\right) + 1}{2 \, \tan\left(x\right)^{2}}"," ",0,"-1/2*(-2*I*tan(x) + 1)/tan(x)^2","A",0
9,1,62,0,0.647172," ","integrate(csc(x)^5/(I+cot(x)),x, algorithm=""giac"")","-\frac{1}{24} \, \tan\left(\frac{1}{2} \, x\right)^{3} - \frac{1}{8} i \, \tan\left(\frac{1}{2} \, x\right)^{2} - \frac{-22 i \, \tan\left(\frac{1}{2} \, x\right)^{3} + 3 \, \tan\left(\frac{1}{2} \, x\right)^{2} - 3 i \, \tan\left(\frac{1}{2} \, x\right) + 1}{24 \, \tan\left(\frac{1}{2} \, x\right)^{3}} - \frac{1}{2} i \, \log\left(\tan\left(\frac{1}{2} \, x\right)\right) - \frac{1}{8} \, \tan\left(\frac{1}{2} \, x\right)"," ",0,"-1/24*tan(1/2*x)^3 - 1/8*I*tan(1/2*x)^2 - 1/24*(-22*I*tan(1/2*x)^3 + 3*tan(1/2*x)^2 - 3*I*tan(1/2*x) + 1)/tan(1/2*x)^3 - 1/2*I*log(tan(1/2*x)) - 1/8*tan(1/2*x)","B",0
10,1,24,0,0.878370," ","integrate(csc(x)^6/(I+cot(x)),x, algorithm=""giac"")","-\frac{-12 i \, \tan\left(x\right)^{3} + 6 \, \tan\left(x\right)^{2} - 4 i \, \tan\left(x\right) + 3}{12 \, \tan\left(x\right)^{4}}"," ",0,"-1/12*(-12*I*tan(x)^3 + 6*tan(x)^2 - 4*I*tan(x) + 3)/tan(x)^4","A",0
11,1,94,0,0.371908," ","integrate(csc(x)^7/(I+cot(x)),x, algorithm=""giac"")","-\frac{1}{160} \, \tan\left(\frac{1}{2} \, x\right)^{5} - \frac{1}{64} i \, \tan\left(\frac{1}{2} \, x\right)^{4} - \frac{1}{32} \, \tan\left(\frac{1}{2} \, x\right)^{3} - \frac{1}{8} i \, \tan\left(\frac{1}{2} \, x\right)^{2} - \frac{-274 i \, \tan\left(\frac{1}{2} \, x\right)^{5} + 20 \, \tan\left(\frac{1}{2} \, x\right)^{4} - 40 i \, \tan\left(\frac{1}{2} \, x\right)^{3} + 10 \, \tan\left(\frac{1}{2} \, x\right)^{2} - 5 i \, \tan\left(\frac{1}{2} \, x\right) + 2}{320 \, \tan\left(\frac{1}{2} \, x\right)^{5}} - \frac{3}{8} i \, \log\left(\tan\left(\frac{1}{2} \, x\right)\right) - \frac{1}{16} \, \tan\left(\frac{1}{2} \, x\right)"," ",0,"-1/160*tan(1/2*x)^5 - 1/64*I*tan(1/2*x)^4 - 1/32*tan(1/2*x)^3 - 1/8*I*tan(1/2*x)^2 - 1/320*(-274*I*tan(1/2*x)^5 + 20*tan(1/2*x)^4 - 40*I*tan(1/2*x)^3 + 10*tan(1/2*x)^2 - 5*I*tan(1/2*x) + 2)/tan(1/2*x)^5 - 3/8*I*log(tan(1/2*x)) - 1/16*tan(1/2*x)","B",0
12,1,151,0,1.322088," ","integrate(csc(x)^6/(a+b*cot(x)),x, algorithm=""giac"")","\frac{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \log\left({\left| \tan\left(x\right) \right|}\right)}{b^{5}} - \frac{{\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} \log\left({\left| a \tan\left(x\right) + b \right|}\right)}{a b^{5}} - \frac{25 \, a^{4} \tan\left(x\right)^{4} + 50 \, a^{2} b^{2} \tan\left(x\right)^{4} + 25 \, b^{4} \tan\left(x\right)^{4} - 12 \, a^{3} b \tan\left(x\right)^{3} - 24 \, a b^{3} \tan\left(x\right)^{3} + 6 \, a^{2} b^{2} \tan\left(x\right)^{2} + 12 \, b^{4} \tan\left(x\right)^{2} - 4 \, a b^{3} \tan\left(x\right) + 3 \, b^{4}}{12 \, b^{5} \tan\left(x\right)^{4}}"," ",0,"(a^4 + 2*a^2*b^2 + b^4)*log(abs(tan(x)))/b^5 - (a^5 + 2*a^3*b^2 + a*b^4)*log(abs(a*tan(x) + b))/(a*b^5) - 1/12*(25*a^4*tan(x)^4 + 50*a^2*b^2*tan(x)^4 + 25*b^4*tan(x)^4 - 12*a^3*b*tan(x)^3 - 24*a*b^3*tan(x)^3 + 6*a^2*b^2*tan(x)^2 + 12*b^4*tan(x)^2 - 4*a*b^3*tan(x) + 3*b^4)/(b^5*tan(x)^4)","B",0
13,1,78,0,2.510629," ","integrate(csc(x)^4/(a+b*cot(x)),x, algorithm=""giac"")","\frac{{\left(a^{2} + b^{2}\right)} \log\left({\left| \tan\left(x\right) \right|}\right)}{b^{3}} - \frac{{\left(a^{3} + a b^{2}\right)} \log\left({\left| a \tan\left(x\right) + b \right|}\right)}{a b^{3}} - \frac{3 \, a^{2} \tan\left(x\right)^{2} + 3 \, b^{2} \tan\left(x\right)^{2} - 2 \, a b \tan\left(x\right) + b^{2}}{2 \, b^{3} \tan\left(x\right)^{2}}"," ",0,"(a^2 + b^2)*log(abs(tan(x)))/b^3 - (a^3 + a*b^2)*log(abs(a*tan(x) + b))/(a*b^3) - 1/2*(3*a^2*tan(x)^2 + 3*b^2*tan(x)^2 - 2*a*b*tan(x) + b^2)/(b^3*tan(x)^2)","B",0
14,1,22,0,0.866744," ","integrate(csc(x)^2/(a+b*cot(x)),x, algorithm=""giac"")","-\frac{\log\left({\left| a \tan\left(x\right) + b \right|}\right)}{b} + \frac{\log\left({\left| \tan\left(x\right) \right|}\right)}{b}"," ",0,"-log(abs(a*tan(x) + b))/b + log(abs(tan(x)))/b","A",0
15,1,148,0,0.801312," ","integrate(sin(x)^2/(a+b*cot(x)),x, algorithm=""giac"")","-\frac{a b^{3} \log\left({\left| a \tan\left(x\right) + b \right|}\right)}{a^{5} + 2 \, a^{3} b^{2} + a b^{4}} + \frac{b^{3} \log\left(\tan\left(x\right)^{2} + 1\right)}{2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)}} + \frac{{\left(a^{3} + 3 \, a b^{2}\right)} x}{2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)}} - \frac{b^{3} \tan\left(x\right)^{2} + a^{3} \tan\left(x\right) + a b^{2} \tan\left(x\right) - a^{2} b}{2 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} {\left(\tan\left(x\right)^{2} + 1\right)}}"," ",0,"-a*b^3*log(abs(a*tan(x) + b))/(a^5 + 2*a^3*b^2 + a*b^4) + 1/2*b^3*log(tan(x)^2 + 1)/(a^4 + 2*a^2*b^2 + b^4) + 1/2*(a^3 + 3*a*b^2)*x/(a^4 + 2*a^2*b^2 + b^4) - 1/2*(b^3*tan(x)^2 + a^3*tan(x) + a*b^2*tan(x) - a^2*b)/((a^4 + 2*a^2*b^2 + b^4)*(tan(x)^2 + 1))","B",0
16,1,273,0,1.957879," ","integrate(sin(x)^4/(a+b*cot(x)),x, algorithm=""giac"")","-\frac{a b^{5} \log\left({\left| a \tan\left(x\right) + b \right|}\right)}{a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}} + \frac{b^{5} \log\left(\tan\left(x\right)^{2} + 1\right)}{2 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)}} + \frac{{\left(3 \, a^{5} + 10 \, a^{3} b^{2} + 15 \, a b^{4}\right)} x}{8 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)}} - \frac{6 \, b^{5} \tan\left(x\right)^{4} + 5 \, a^{5} \tan\left(x\right)^{3} + 14 \, a^{3} b^{2} \tan\left(x\right)^{3} + 9 \, a b^{4} \tan\left(x\right)^{3} - 4 \, a^{4} b \tan\left(x\right)^{2} - 12 \, a^{2} b^{3} \tan\left(x\right)^{2} + 4 \, b^{5} \tan\left(x\right)^{2} + 3 \, a^{5} \tan\left(x\right) + 10 \, a^{3} b^{2} \tan\left(x\right) + 7 \, a b^{4} \tan\left(x\right) - 2 \, a^{4} b - 8 \, a^{2} b^{3}}{8 \, {\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} {\left(\tan\left(x\right)^{2} + 1\right)}^{2}}"," ",0,"-a*b^5*log(abs(a*tan(x) + b))/(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6) + 1/2*b^5*log(tan(x)^2 + 1)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + 1/8*(3*a^5 + 10*a^3*b^2 + 15*a*b^4)*x/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - 1/8*(6*b^5*tan(x)^4 + 5*a^5*tan(x)^3 + 14*a^3*b^2*tan(x)^3 + 9*a*b^4*tan(x)^3 - 4*a^4*b*tan(x)^2 - 12*a^2*b^3*tan(x)^2 + 4*b^5*tan(x)^2 + 3*a^5*tan(x) + 10*a^3*b^2*tan(x) + 7*a*b^4*tan(x) - 2*a^4*b - 8*a^2*b^3)/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*(tan(x)^2 + 1)^2)","B",0
17,1,220,0,0.763013," ","integrate(csc(x)^5/(a+b*cot(x)),x, algorithm=""giac"")","-\frac{b^{2} \tan\left(\frac{1}{2} \, x\right)^{3} + 3 \, a b \tan\left(\frac{1}{2} \, x\right)^{2} + 12 \, a^{2} \tan\left(\frac{1}{2} \, x\right) + 15 \, b^{2} \tan\left(\frac{1}{2} \, x\right)}{24 \, b^{3}} - \frac{{\left(2 \, a^{3} + 3 \, a b^{2}\right)} \log\left({\left| \tan\left(\frac{1}{2} \, x\right) \right|}\right)}{2 \, b^{4}} - \frac{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \log\left(\frac{{\left| 2 \, b \tan\left(\frac{1}{2} \, x\right) - 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b \tan\left(\frac{1}{2} \, x\right) - 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}} b^{4}} + \frac{44 \, a^{3} \tan\left(\frac{1}{2} \, x\right)^{3} + 66 \, a b^{2} \tan\left(\frac{1}{2} \, x\right)^{3} - 12 \, a^{2} b \tan\left(\frac{1}{2} \, x\right)^{2} - 15 \, b^{3} \tan\left(\frac{1}{2} \, x\right)^{2} + 3 \, a b^{2} \tan\left(\frac{1}{2} \, x\right) - b^{3}}{24 \, b^{4} \tan\left(\frac{1}{2} \, x\right)^{3}}"," ",0,"-1/24*(b^2*tan(1/2*x)^3 + 3*a*b*tan(1/2*x)^2 + 12*a^2*tan(1/2*x) + 15*b^2*tan(1/2*x))/b^3 - 1/2*(2*a^3 + 3*a*b^2)*log(abs(tan(1/2*x)))/b^4 - (a^4 + 2*a^2*b^2 + b^4)*log(abs(2*b*tan(1/2*x) - 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*tan(1/2*x) - 2*a + 2*sqrt(a^2 + b^2)))/(sqrt(a^2 + b^2)*b^4) + 1/24*(44*a^3*tan(1/2*x)^3 + 66*a*b^2*tan(1/2*x)^3 - 12*a^2*b*tan(1/2*x)^2 - 15*b^3*tan(1/2*x)^2 + 3*a*b^2*tan(1/2*x) - b^3)/(b^4*tan(1/2*x)^3)","B",0
18,1,108,0,0.411756," ","integrate(csc(x)^3/(a+b*cot(x)),x, algorithm=""giac"")","-\frac{a \log\left({\left| \tan\left(\frac{1}{2} \, x\right) \right|}\right)}{b^{2}} - \frac{\tan\left(\frac{1}{2} \, x\right)}{2 \, b} - \frac{\sqrt{a^{2} + b^{2}} \log\left(\frac{{\left| 2 \, b \tan\left(\frac{1}{2} \, x\right) - 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b \tan\left(\frac{1}{2} \, x\right) - 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{b^{2}} + \frac{2 \, a \tan\left(\frac{1}{2} \, x\right) - b}{2 \, b^{2} \tan\left(\frac{1}{2} \, x\right)}"," ",0,"-a*log(abs(tan(1/2*x)))/b^2 - 1/2*tan(1/2*x)/b - sqrt(a^2 + b^2)*log(abs(2*b*tan(1/2*x) - 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*tan(1/2*x) - 2*a + 2*sqrt(a^2 + b^2)))/b^2 + 1/2*(2*a*tan(1/2*x) - b)/(b^2*tan(1/2*x))","B",0
19,1,61,0,0.472538," ","integrate(csc(x)/(a+b*cot(x)),x, algorithm=""giac"")","-\frac{\log\left(\frac{{\left| 2 \, b \tan\left(\frac{1}{2} \, x\right) - 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b \tan\left(\frac{1}{2} \, x\right) - 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}}}"," ",0,"-log(abs(2*b*tan(1/2*x) - 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*tan(1/2*x) - 2*a + 2*sqrt(a^2 + b^2)))/sqrt(a^2 + b^2)","A",0
20,1,94,0,0.727849," ","integrate(sin(x)/(a+b*cot(x)),x, algorithm=""giac"")","-\frac{b^{2} \log\left(\frac{{\left| 2 \, b \tan\left(\frac{1}{2} \, x\right) - 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b \tan\left(\frac{1}{2} \, x\right) - 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{2} + b^{2}\right)}^{\frac{3}{2}}} - \frac{2 \, {\left(b \tan\left(\frac{1}{2} \, x\right) + a\right)}}{{\left(a^{2} + b^{2}\right)} {\left(\tan\left(\frac{1}{2} \, x\right)^{2} + 1\right)}}"," ",0,"-b^2*log(abs(2*b*tan(1/2*x) - 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*tan(1/2*x) - 2*a + 2*sqrt(a^2 + b^2)))/(a^2 + b^2)^(3/2) - 2*(b*tan(1/2*x) + a)/((a^2 + b^2)*(tan(1/2*x)^2 + 1))","A",0
21,1,201,0,0.717617," ","integrate(sin(x)^3/(a+b*cot(x)),x, algorithm=""giac"")","-\frac{b^{4} \log\left(\frac{{\left| 2 \, b \tan\left(\frac{1}{2} \, x\right) - 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b \tan\left(\frac{1}{2} \, x\right) - 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} \sqrt{a^{2} + b^{2}}} - \frac{2 \, {\left(3 \, b^{3} \tan\left(\frac{1}{2} \, x\right)^{5} + 3 \, a b^{2} \tan\left(\frac{1}{2} \, x\right)^{4} + 4 \, a^{2} b \tan\left(\frac{1}{2} \, x\right)^{3} + 10 \, b^{3} \tan\left(\frac{1}{2} \, x\right)^{3} + 6 \, a^{3} \tan\left(\frac{1}{2} \, x\right)^{2} + 12 \, a b^{2} \tan\left(\frac{1}{2} \, x\right)^{2} + 3 \, b^{3} \tan\left(\frac{1}{2} \, x\right) + 2 \, a^{3} + 5 \, a b^{2}\right)}}{3 \, {\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} {\left(\tan\left(\frac{1}{2} \, x\right)^{2} + 1\right)}^{3}}"," ",0,"-b^4*log(abs(2*b*tan(1/2*x) - 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*tan(1/2*x) - 2*a + 2*sqrt(a^2 + b^2)))/((a^4 + 2*a^2*b^2 + b^4)*sqrt(a^2 + b^2)) - 2/3*(3*b^3*tan(1/2*x)^5 + 3*a*b^2*tan(1/2*x)^4 + 4*a^2*b*tan(1/2*x)^3 + 10*b^3*tan(1/2*x)^3 + 6*a^3*tan(1/2*x)^2 + 12*a*b^2*tan(1/2*x)^2 + 3*b^3*tan(1/2*x) + 2*a^3 + 5*a*b^2)/((a^4 + 2*a^2*b^2 + b^4)*(tan(1/2*x)^2 + 1)^3)","A",0
22,1,13,0,0.598120," ","integrate(csc(x)^2/(a+b*cot(x))^2,x, algorithm=""giac"")","-\frac{1}{{\left(a \tan\left(x\right) + b\right)} a}"," ",0,"-1/((a*tan(x) + b)*a)","A",0
23,0,0,0,0.000000," ","integrate((a+b*cot(x))^n*csc(x)^2,x, algorithm=""giac"")","\int {\left(b \cot\left(x\right) + a\right)}^{n} \csc\left(x\right)^{2}\,{d x}"," ",0,"integrate((b*cot(x) + a)^n*csc(x)^2, x)","F",0
