1,1,12,0,0.395710," ","integrate(cot(b*x+a),x, algorithm=""giac"")","\frac{\log\left({\left| \sin\left(b x + a\right) \right|}\right)}{b}"," ",0,"log(abs(sin(b*x + a)))/b","A",0
2,1,35,0,0.409901," ","integrate(cot(b*x+a)^2,x, algorithm=""giac"")","-\frac{2 \, b x + 2 \, a + \frac{1}{\tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)} - \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)}{2 \, b}"," ",0,"-1/2*(2*b*x + 2*a + 1/tan(1/2*b*x + 1/2*a) - tan(1/2*b*x + 1/2*a))/b","B",0
3,1,118,0,0.341698," ","integrate(cot(b*x+a)^3,x, algorithm=""giac"")","\frac{\frac{{\left(\frac{4 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}}{\cos\left(b x + a\right) - 1} + \frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} - 4 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) + 8 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1 \right|}\right)}{8 \, b}"," ",0,"1/8*((4*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)*(cos(b*x + a) + 1)/(cos(b*x + a) - 1) + (cos(b*x + a) - 1)/(cos(b*x + a) + 1) - 4*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) + 8*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)))/b","B",0
4,1,62,0,0.509577," ","integrate(cot(b*x+a)^4,x, algorithm=""giac"")","\frac{\tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{3} + 24 \, b x + 24 \, a + \frac{15 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - 1}{\tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{3}} - 15 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)}{24 \, b}"," ",0,"1/24*(tan(1/2*b*x + 1/2*a)^3 + 24*b*x + 24*a + (15*tan(1/2*b*x + 1/2*a)^2 - 1)/tan(1/2*b*x + 1/2*a)^3 - 15*tan(1/2*b*x + 1/2*a))/b","B",0
5,1,164,0,0.441797," ","integrate(cot(b*x+a)^5,x, algorithm=""giac"")","-\frac{\frac{{\left(\frac{12 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{48 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}^{2}}{{\left(\cos\left(b x + a\right) - 1\right)}^{2}} + \frac{12 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} - 32 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) + 64 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1 \right|}\right)}{64 \, b}"," ",0,"-1/64*((12*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 48*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 1)*(cos(b*x + a) + 1)^2/(cos(b*x + a) - 1)^2 + 12*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + (cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 - 32*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) + 64*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)))/b","B",0
6,1,91,0,1.143151," ","integrate(cot(b*x+a)^6,x, algorithm=""giac"")","\frac{3 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{5} - 35 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{3} - 480 \, b x - 480 \, a - \frac{330 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} - 35 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} + 3}{\tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{5}} + 330 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)}{480 \, b}"," ",0,"1/480*(3*tan(1/2*b*x + 1/2*a)^5 - 35*tan(1/2*b*x + 1/2*a)^3 - 480*b*x - 480*a - (330*tan(1/2*b*x + 1/2*a)^4 - 35*tan(1/2*b*x + 1/2*a)^2 + 3)/tan(1/2*b*x + 1/2*a)^5 + 330*tan(1/2*b*x + 1/2*a))/b","B",0
7,1,208,0,0.440060," ","integrate(cot(b*x+a)^7,x, algorithm=""giac"")","\frac{\frac{{\left(\frac{12 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{87 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{352 \, {\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} + 1\right)} {\left(\cos\left(b x + a\right) + 1\right)}^{3}}{{\left(\cos\left(b x + a\right) - 1\right)}^{3}} + \frac{87 \, {\left(\cos\left(b x + a\right) - 1\right)}}{\cos\left(b x + a\right) + 1} + \frac{12 \, {\left(\cos\left(b x + a\right) - 1\right)}^{2}}{{\left(\cos\left(b x + a\right) + 1\right)}^{2}} + \frac{{\left(\cos\left(b x + a\right) - 1\right)}^{3}}{{\left(\cos\left(b x + a\right) + 1\right)}^{3}} - 192 \, \log\left(\frac{{\left| -\cos\left(b x + a\right) + 1 \right|}}{{\left| \cos\left(b x + a\right) + 1 \right|}}\right) + 384 \, \log\left({\left| -\frac{\cos\left(b x + a\right) - 1}{\cos\left(b x + a\right) + 1} + 1 \right|}\right)}{384 \, b}"," ",0,"1/384*((12*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 87*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + 352*(cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 + 1)*(cos(b*x + a) + 1)^3/(cos(b*x + a) - 1)^3 + 87*(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 12*(cos(b*x + a) - 1)^2/(cos(b*x + a) + 1)^2 + (cos(b*x + a) - 1)^3/(cos(b*x + a) + 1)^3 - 192*log(abs(-cos(b*x + a) + 1)/abs(cos(b*x + a) + 1)) + 384*log(abs(-(cos(b*x + a) - 1)/(cos(b*x + a) + 1) + 1)))/b","B",0
8,1,116,0,0.341085," ","integrate(cot(b*x+a)^8,x, algorithm=""giac"")","\frac{15 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{7} - 189 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{5} + 1295 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{3} + 13440 \, b x + 13440 \, a + \frac{9765 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{6} - 1295 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{4} + 189 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{2} - 15}{\tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)^{7}} - 9765 \, \tan\left(\frac{1}{2} \, b x + \frac{1}{2} \, a\right)}{13440 \, b}"," ",0,"1/13440*(15*tan(1/2*b*x + 1/2*a)^7 - 189*tan(1/2*b*x + 1/2*a)^5 + 1295*tan(1/2*b*x + 1/2*a)^3 + 13440*b*x + 13440*a + (9765*tan(1/2*b*x + 1/2*a)^6 - 1295*tan(1/2*b*x + 1/2*a)^4 + 189*tan(1/2*b*x + 1/2*a)^2 - 15)/tan(1/2*b*x + 1/2*a)^7 - 9765*tan(1/2*b*x + 1/2*a))/b","B",0
9,0,0,0,0.000000," ","integrate((c*cot(b*x+a))^(7/2),x, algorithm=""giac"")","\int \left(c \cot\left(b x + a\right)\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((c*cot(b*x + a))^(7/2), x)","F",0
10,0,0,0,0.000000," ","integrate((c*cot(b*x+a))^(5/2),x, algorithm=""giac"")","\int \left(c \cot\left(b x + a\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((c*cot(b*x + a))^(5/2), x)","F",0
11,0,0,0,0.000000," ","integrate((c*cot(b*x+a))^(3/2),x, algorithm=""giac"")","\int \left(c \cot\left(b x + a\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((c*cot(b*x + a))^(3/2), x)","F",0
12,0,0,0,0.000000," ","integrate((c*cot(b*x+a))^(1/2),x, algorithm=""giac"")","\int \sqrt{c \cot\left(b x + a\right)}\,{d x}"," ",0,"integrate(sqrt(c*cot(b*x + a)), x)","F",0
13,0,0,0,0.000000," ","integrate(1/(c*cot(b*x+a))^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{c \cot\left(b x + a\right)}}\,{d x}"," ",0,"integrate(1/sqrt(c*cot(b*x + a)), x)","F",0
14,0,0,0,0.000000," ","integrate(1/(c*cot(b*x+a))^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(c \cot\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((c*cot(b*x + a))^(-3/2), x)","F",0
15,0,0,0,0.000000," ","integrate(1/(c*cot(b*x+a))^(5/2),x, algorithm=""giac"")","\int \frac{1}{\left(c \cot\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((c*cot(b*x + a))^(-5/2), x)","F",0
16,0,0,0,0.000000," ","integrate(1/(c*cot(b*x+a))^(7/2),x, algorithm=""giac"")","\int \frac{1}{\left(c \cot\left(b x + a\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((c*cot(b*x + a))^(-7/2), x)","F",0
17,0,0,0,0.000000," ","integrate((c*cot(b*x+a))^(4/3),x, algorithm=""giac"")","\int \left(c \cot\left(b x + a\right)\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((c*cot(b*x + a))^(4/3), x)","F",0
18,0,0,0,0.000000," ","integrate((c*cot(b*x+a))^(2/3),x, algorithm=""giac"")","\int \left(c \cot\left(b x + a\right)\right)^{\frac{2}{3}}\,{d x}"," ",0,"integrate((c*cot(b*x + a))^(2/3), x)","F",0
19,0,0,0,0.000000," ","integrate((c*cot(b*x+a))^(1/3),x, algorithm=""giac"")","\int \left(c \cot\left(b x + a\right)\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((c*cot(b*x + a))^(1/3), x)","F",0
20,0,0,0,0.000000," ","integrate(1/(c*cot(b*x+a))^(1/3),x, algorithm=""giac"")","\int \frac{1}{\left(c \cot\left(b x + a\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((c*cot(b*x + a))^(-1/3), x)","F",0
21,0,0,0,0.000000," ","integrate(1/(c*cot(b*x+a))^(2/3),x, algorithm=""giac"")","\int \frac{1}{\left(c \cot\left(b x + a\right)\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((c*cot(b*x + a))^(-2/3), x)","F",0
22,0,0,0,0.000000," ","integrate(1/(c*cot(b*x+a))^(4/3),x, algorithm=""giac"")","\int \frac{1}{\left(c \cot\left(b x + a\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((c*cot(b*x + a))^(-4/3), x)","F",0
23,0,0,0,0.000000," ","integrate(cot(b*x+a)^n,x, algorithm=""giac"")","\int \cot\left(b x + a\right)^{n}\,{d x}"," ",0,"integrate(cot(b*x + a)^n, x)","F",0
24,0,0,0,0.000000," ","integrate((b*cot(d*x+c))^n,x, algorithm=""giac"")","\int \left(b \cot\left(d x + c\right)\right)^{n}\,{d x}"," ",0,"integrate((b*cot(d*x + c))^n, x)","F",0
25,1,31,0,0.602363," ","integrate((a*cot(x)^2)^(3/2),x, algorithm=""giac"")","\frac{1}{2} \, a^{\frac{3}{2}} {\left(\frac{1}{\cos\left(x\right)^{2} - 1} - \log\left(-\cos\left(x\right)^{2} + 1\right)\right)} \mathrm{sgn}\left(\cos\left(x\right)\right) \mathrm{sgn}\left(\sin\left(x\right)\right)"," ",0,"1/2*a^(3/2)*(1/(cos(x)^2 - 1) - log(-cos(x)^2 + 1))*sgn(cos(x))*sgn(sin(x))","A",0
26,1,20,0,0.361585," ","integrate((a*cot(x)^2)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{a} \log\left(-\cos\left(x\right)^{2} + 1\right) \mathrm{sgn}\left(\cos\left(x\right)\right) \mathrm{sgn}\left(\sin\left(x\right)\right)"," ",0,"1/2*sqrt(a)*log(-cos(x)^2 + 1)*sgn(cos(x))*sgn(sin(x))","A",0
27,1,19,0,0.449423," ","integrate(1/(a*cot(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{\log\left({\left| \cos\left(x\right) \right|}\right)}{\sqrt{a} \mathrm{sgn}\left(\cos\left(x\right)\right) \mathrm{sgn}\left(\sin\left(x\right)\right)}"," ",0,"-log(abs(cos(x)))/(sqrt(a)*sgn(cos(x))*sgn(sin(x)))","A",0
28,1,139,0,0.911066," ","integrate(1/(a*cot(x)^2)^(3/2),x, algorithm=""giac"")","-\frac{\frac{\log\left(\tan\left(\frac{1}{2} \, x\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, x\right)^{2}} + 2\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, x\right)\right)}{\mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, x\right)^{2} + 1\right)} - \frac{\log\left(\tan\left(\frac{1}{2} \, x\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, x\right)^{2}} - 2\right) \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, x\right)\right)}{\mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, x\right)^{2} + 1\right)} + \frac{{\left(\tan\left(\frac{1}{2} \, x\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, x\right)^{2}}\right)} \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, x\right)\right) - 6 \, \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, x\right)\right)}{{\left(\tan\left(\frac{1}{2} \, x\right)^{2} + \frac{1}{\tan\left(\frac{1}{2} \, x\right)^{2}} - 2\right)} \mathrm{sgn}\left(-\tan\left(\frac{1}{2} \, x\right)^{2} + 1\right)} - \mathrm{sgn}\left(\tan\left(\frac{1}{2} \, x\right)\right)}{2 \, a^{\frac{3}{2}}}"," ",0,"-1/2*(log(tan(1/2*x)^2 + 1/tan(1/2*x)^2 + 2)*sgn(tan(1/2*x))/sgn(-tan(1/2*x)^2 + 1) - log(tan(1/2*x)^2 + 1/tan(1/2*x)^2 - 2)*sgn(tan(1/2*x))/sgn(-tan(1/2*x)^2 + 1) + ((tan(1/2*x)^2 + 1/tan(1/2*x)^2)*sgn(tan(1/2*x)) - 6*sgn(tan(1/2*x)))/((tan(1/2*x)^2 + 1/tan(1/2*x)^2 - 2)*sgn(-tan(1/2*x)^2 + 1)) - sgn(tan(1/2*x)))/a^(3/2)","B",0
29,0,0,0,0.000000," ","integrate((a*cot(x)^3)^(3/2),x, algorithm=""giac"")","\int \left(a \cot\left(x\right)^{3}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a*cot(x)^3)^(3/2), x)","F",0
30,0,0,0,0.000000," ","integrate((a*cot(x)^3)^(1/2),x, algorithm=""giac"")","\int \sqrt{a \cot\left(x\right)^{3}}\,{d x}"," ",0,"integrate(sqrt(a*cot(x)^3), x)","F",0
31,0,0,0,0.000000," ","integrate(1/(a*cot(x)^3)^(1/2),x, algorithm=""giac"")","\int \frac{1}{\sqrt{a \cot\left(x\right)^{3}}}\,{d x}"," ",0,"integrate(1/sqrt(a*cot(x)^3), x)","F",0
32,0,0,0,0.000000," ","integrate(1/(a*cot(x)^3)^(3/2),x, algorithm=""giac"")","\int \frac{1}{\left(a \cot\left(x\right)^{3}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*cot(x)^3)^(-3/2), x)","F",0
33,1,57,0,2.413288," ","integrate((a*cot(x)^4)^(3/2),x, algorithm=""giac"")","\frac{1}{480} \, {\left(3 \, \tan\left(\frac{1}{2} \, x\right)^{5} - 35 \, \tan\left(\frac{1}{2} \, x\right)^{3} - 480 \, x - \frac{330 \, \tan\left(\frac{1}{2} \, x\right)^{4} - 35 \, \tan\left(\frac{1}{2} \, x\right)^{2} + 3}{\tan\left(\frac{1}{2} \, x\right)^{5}} + 330 \, \tan\left(\frac{1}{2} \, x\right)\right)} a^{\frac{3}{2}}"," ",0,"1/480*(3*tan(1/2*x)^5 - 35*tan(1/2*x)^3 - 480*x - (330*tan(1/2*x)^4 - 35*tan(1/2*x)^2 + 3)/tan(1/2*x)^5 + 330*tan(1/2*x))*a^(3/2)","A",0
34,1,21,0,0.392114," ","integrate((a*cot(x)^4)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{a} {\left(2 \, x + \frac{1}{\tan\left(\frac{1}{2} \, x\right)} - \tan\left(\frac{1}{2} \, x\right)\right)}"," ",0,"-1/2*sqrt(a)*(2*x + 1/tan(1/2*x) - tan(1/2*x))","A",0
35,1,13,0,0.313104," ","integrate(1/(a*cot(x)^4)^(1/2),x, algorithm=""giac"")","-\frac{x}{\sqrt{a}} + \frac{\tan\left(x\right)}{\sqrt{a}}"," ",0,"-x/sqrt(a) + tan(x)/sqrt(a)","A",0
36,1,43,0,0.418950," ","integrate(1/(a*cot(x)^4)^(3/2),x, algorithm=""giac"")","-\frac{\frac{15 \, x}{\sqrt{a}} - \frac{3 \, a^{2} \tan\left(x\right)^{5} - 5 \, a^{2} \tan\left(x\right)^{3} + 15 \, a^{2} \tan\left(x\right)}{a^{\frac{5}{2}}}}{15 \, a}"," ",0,"-1/15*(15*x/sqrt(a) - (3*a^2*tan(x)^5 - 5*a^2*tan(x)^3 + 15*a^2*tan(x))/a^(5/2))/a","A",0
37,0,0,0,0.000000," ","integrate((b*cot(d*x+c)^p)^n,x, algorithm=""giac"")","\int \left(b \cot\left(d x + c\right)^{p}\right)^{n}\,{d x}"," ",0,"integrate((b*cot(d*x + c)^p)^n, x)","F",0
38,0,0,0,0.000000," ","integrate((a*(b*cot(d*x+c))^p)^n,x, algorithm=""giac"")","\int \left(\left(b \cot\left(d x + c\right)\right)^{p} a\right)^{n}\,{d x}"," ",0,"integrate(((b*cot(d*x + c))^p*a)^n, x)","F",0
39,0,0,0,0.000000," ","integrate((b*cot(f*x+e))^n*(a*sin(f*x+e))^m,x, algorithm=""giac"")","\int \left(b \cot\left(f x + e\right)\right)^{n} \left(a \sin\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*cot(f*x + e))^n*(a*sin(f*x + e))^m, x)","F",0
40,0,0,0,0.000000," ","integrate((a*cos(f*x+e))^m*(b*cot(f*x+e))^n,x, algorithm=""giac"")","\int \left(a \cos\left(f x + e\right)\right)^{m} \left(b \cot\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((a*cos(f*x + e))^m*(b*cot(f*x + e))^n, x)","F",0
41,0,0,0,0.000000," ","integrate((a*cot(f*x+e))^m*(b*cot(f*x+e))^n,x, algorithm=""giac"")","\int \left(a \cot\left(f x + e\right)\right)^{m} \left(b \cot\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((a*cot(f*x + e))^m*(b*cot(f*x + e))^n, x)","F",0
42,0,0,0,0.000000," ","integrate((b*cot(f*x+e))^n*(a*sec(f*x+e))^m,x, algorithm=""giac"")","\int \left(b \cot\left(f x + e\right)\right)^{n} \left(a \sec\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*cot(f*x + e))^n*(a*sec(f*x + e))^m, x)","F",0
43,0,0,0,0.000000," ","integrate((d*cot(f*x+e))^n*csc(f*x+e)^6,x, algorithm=""giac"")","\int \left(d \cot\left(f x + e\right)\right)^{n} \csc\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((d*cot(f*x + e))^n*csc(f*x + e)^6, x)","F",0
44,0,0,0,0.000000," ","integrate((d*cot(f*x+e))^n*csc(f*x+e)^4,x, algorithm=""giac"")","\int \left(d \cot\left(f x + e\right)\right)^{n} \csc\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((d*cot(f*x + e))^n*csc(f*x + e)^4, x)","F",0
45,0,0,0,0.000000," ","integrate((d*cot(f*x+e))^n*csc(f*x+e)^2,x, algorithm=""giac"")","\int \left(d \cot\left(f x + e\right)\right)^{n} \csc\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((d*cot(f*x + e))^n*csc(f*x + e)^2, x)","F",0
46,0,0,0,0.000000," ","integrate((d*cot(f*x+e))^n*sin(f*x+e)^2,x, algorithm=""giac"")","\int \left(d \cot\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((d*cot(f*x + e))^n*sin(f*x + e)^2, x)","F",0
47,0,0,0,0.000000," ","integrate((d*cot(f*x+e))^n*sin(f*x+e)^4,x, algorithm=""giac"")","\int \left(d \cot\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((d*cot(f*x + e))^n*sin(f*x + e)^4, x)","F",0
48,0,0,0,0.000000," ","integrate((d*cot(f*x+e))^n*csc(f*x+e)^3,x, algorithm=""giac"")","\int \left(d \cot\left(f x + e\right)\right)^{n} \csc\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((d*cot(f*x + e))^n*csc(f*x + e)^3, x)","F",0
49,0,0,0,0.000000," ","integrate((d*cot(f*x+e))^n*csc(f*x+e),x, algorithm=""giac"")","\int \left(d \cot\left(f x + e\right)\right)^{n} \csc\left(f x + e\right)\,{d x}"," ",0,"integrate((d*cot(f*x + e))^n*csc(f*x + e), x)","F",0
50,0,0,0,0.000000," ","integrate((d*cot(f*x+e))^n*sin(f*x+e),x, algorithm=""giac"")","\int \left(d \cot\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)\,{d x}"," ",0,"integrate((d*cot(f*x + e))^n*sin(f*x + e), x)","F",0
51,0,0,0,0.000000," ","integrate((d*cot(f*x+e))^n*sin(f*x+e)^3,x, algorithm=""giac"")","\int \left(d \cot\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((d*cot(f*x + e))^n*sin(f*x + e)^3, x)","F",0
52,0,0,0,0.000000," ","integrate((b*cot(f*x+e))^n*(a*csc(f*x+e))^m,x, algorithm=""giac"")","\int \left(b \cot\left(f x + e\right)\right)^{n} \left(a \csc\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*cot(f*x + e))^n*(a*csc(f*x + e))^m, x)","F",0
