1,0,0,0,0.000000," ","integrate((a+I*a*cot(d*x+c))^n,x, algorithm=""giac"")","\int {\left(i \, a \cot\left(d x + c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((I*a*cot(d*x + c) + a)^n, x)","F",0
2,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(5/2)*(a+a*cot(d*x+c)),x, algorithm=""giac"")","\int {\left(a \cot\left(d x + c\right) + a\right)} \left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)*(e*cot(d*x + c))^(5/2), x)","F",0
3,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(3/2)*(a+a*cot(d*x+c)),x, algorithm=""giac"")","\int {\left(a \cot\left(d x + c\right) + a\right)} \left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)*(e*cot(d*x + c))^(3/2), x)","F",0
4,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(1/2)*(a+a*cot(d*x+c)),x, algorithm=""giac"")","\int {\left(a \cot\left(d x + c\right) + a\right)} \sqrt{e \cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)*sqrt(e*cot(d*x + c)), x)","F",0
5,0,0,0,0.000000," ","integrate((a+a*cot(d*x+c))/(e*cot(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{a \cot\left(d x + c\right) + a}{\sqrt{e \cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)/sqrt(e*cot(d*x + c)), x)","F",0
6,0,0,0,0.000000," ","integrate((a+a*cot(d*x+c))/(e*cot(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{a \cot\left(d x + c\right) + a}{\left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)/(e*cot(d*x + c))^(3/2), x)","F",0
7,0,0,0,0.000000," ","integrate((a+a*cot(d*x+c))/(e*cot(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{a \cot\left(d x + c\right) + a}{\left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)/(e*cot(d*x + c))^(5/2), x)","F",0
8,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(5/2)*(a+a*cot(d*x+c))^2,x, algorithm=""giac"")","\int {\left(a \cot\left(d x + c\right) + a\right)}^{2} \left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)^2*(e*cot(d*x + c))^(5/2), x)","F",0
9,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(3/2)*(a+a*cot(d*x+c))^2,x, algorithm=""giac"")","\int {\left(a \cot\left(d x + c\right) + a\right)}^{2} \left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)^2*(e*cot(d*x + c))^(3/2), x)","F",0
10,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(1/2)*(a+a*cot(d*x+c))^2,x, algorithm=""giac"")","\int {\left(a \cot\left(d x + c\right) + a\right)}^{2} \sqrt{e \cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)^2*sqrt(e*cot(d*x + c)), x)","F",0
11,0,0,0,0.000000," ","integrate((a+a*cot(d*x+c))^2/(e*cot(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(a \cot\left(d x + c\right) + a\right)}^{2}}{\sqrt{e \cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)^2/sqrt(e*cot(d*x + c)), x)","F",0
12,0,0,0,0.000000," ","integrate((a+a*cot(d*x+c))^2/(e*cot(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(a \cot\left(d x + c\right) + a\right)}^{2}}{\left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)^2/(e*cot(d*x + c))^(3/2), x)","F",0
13,0,0,0,0.000000," ","integrate((a+a*cot(d*x+c))^2/(e*cot(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(a \cot\left(d x + c\right) + a\right)}^{2}}{\left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)^2/(e*cot(d*x + c))^(5/2), x)","F",0
14,0,0,0,0.000000," ","integrate((a+a*cot(d*x+c))^2/(e*cot(d*x+c))^(7/2),x, algorithm=""giac"")","\int \frac{{\left(a \cot\left(d x + c\right) + a\right)}^{2}}{\left(e \cot\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)^2/(e*cot(d*x + c))^(7/2), x)","F",0
15,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(5/2)*(a+a*cot(d*x+c))^3,x, algorithm=""giac"")","\int {\left(a \cot\left(d x + c\right) + a\right)}^{3} \left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)^3*(e*cot(d*x + c))^(5/2), x)","F",0
16,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(3/2)*(a+a*cot(d*x+c))^3,x, algorithm=""giac"")","\int {\left(a \cot\left(d x + c\right) + a\right)}^{3} \left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)^3*(e*cot(d*x + c))^(3/2), x)","F",0
17,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(1/2)*(a+a*cot(d*x+c))^3,x, algorithm=""giac"")","\int {\left(a \cot\left(d x + c\right) + a\right)}^{3} \sqrt{e \cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)^3*sqrt(e*cot(d*x + c)), x)","F",0
18,0,0,0,0.000000," ","integrate((a+a*cot(d*x+c))^3/(e*cot(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(a \cot\left(d x + c\right) + a\right)}^{3}}{\sqrt{e \cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)^3/sqrt(e*cot(d*x + c)), x)","F",0
19,0,0,0,0.000000," ","integrate((a+a*cot(d*x+c))^3/(e*cot(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(a \cot\left(d x + c\right) + a\right)}^{3}}{\left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)^3/(e*cot(d*x + c))^(3/2), x)","F",0
20,0,0,0,0.000000," ","integrate((a+a*cot(d*x+c))^3/(e*cot(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(a \cot\left(d x + c\right) + a\right)}^{3}}{\left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)^3/(e*cot(d*x + c))^(5/2), x)","F",0
21,0,0,0,0.000000," ","integrate((a+a*cot(d*x+c))^3/(e*cot(d*x+c))^(7/2),x, algorithm=""giac"")","\int \frac{{\left(a \cot\left(d x + c\right) + a\right)}^{3}}{\left(e \cot\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)^3/(e*cot(d*x + c))^(7/2), x)","F",0
22,0,0,0,0.000000," ","integrate((a+a*cot(d*x+c))^3/(e*cot(d*x+c))^(9/2),x, algorithm=""giac"")","\int \frac{{\left(a \cot\left(d x + c\right) + a\right)}^{3}}{\left(e \cot\left(d x + c\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((a*cot(d*x + c) + a)^3/(e*cot(d*x + c))^(9/2), x)","F",0
23,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c)),x, algorithm=""giac"")","\int \frac{\left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}{a \cot\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((e*cot(d*x + c))^(5/2)/(a*cot(d*x + c) + a), x)","F",0
24,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c)),x, algorithm=""giac"")","\int \frac{\left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}{a \cot\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((e*cot(d*x + c))^(3/2)/(a*cot(d*x + c) + a), x)","F",0
25,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c)),x, algorithm=""giac"")","\int \frac{\sqrt{e \cot\left(d x + c\right)}}{a \cot\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(sqrt(e*cot(d*x + c))/(a*cot(d*x + c) + a), x)","F",0
26,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(a \cot\left(d x + c\right) + a\right)} \sqrt{e \cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/((a*cot(d*x + c) + a)*sqrt(e*cot(d*x + c))), x)","F",0
27,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(a \cot\left(d x + c\right) + a\right)} \left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((a*cot(d*x + c) + a)*(e*cot(d*x + c))^(3/2)), x)","F",0
28,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(a \cot\left(d x + c\right) + a\right)} \left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((a*cot(d*x + c) + a)*(e*cot(d*x + c))^(5/2)), x)","F",0
29,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c))^2,x, algorithm=""giac"")","\int \frac{\left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}{{\left(a \cot\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*cot(d*x + c))^(5/2)/(a*cot(d*x + c) + a)^2, x)","F",0
30,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c))^2,x, algorithm=""giac"")","\int \frac{\left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}{{\left(a \cot\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*cot(d*x + c))^(3/2)/(a*cot(d*x + c) + a)^2, x)","F",0
31,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c))^2,x, algorithm=""giac"")","\int \frac{\sqrt{e \cot\left(d x + c\right)}}{{\left(a \cot\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(e*cot(d*x + c))/(a*cot(d*x + c) + a)^2, x)","F",0
32,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(a \cot\left(d x + c\right) + a\right)}^{2} \sqrt{e \cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/((a*cot(d*x + c) + a)^2*sqrt(e*cot(d*x + c))), x)","F",0
33,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(a \cot\left(d x + c\right) + a\right)}^{2} \left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((a*cot(d*x + c) + a)^2*(e*cot(d*x + c))^(3/2)), x)","F",0
34,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(a \cot\left(d x + c\right) + a\right)}^{2} \left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((a*cot(d*x + c) + a)^2*(e*cot(d*x + c))^(5/2)), x)","F",0
35,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c))^3,x, algorithm=""giac"")","\int \frac{\left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}{{\left(a \cot\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((e*cot(d*x + c))^(5/2)/(a*cot(d*x + c) + a)^3, x)","F",0
36,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c))^3,x, algorithm=""giac"")","\int \frac{\left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}{{\left(a \cot\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((e*cot(d*x + c))^(3/2)/(a*cot(d*x + c) + a)^3, x)","F",0
37,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c))^3,x, algorithm=""giac"")","\int \frac{\sqrt{e \cot\left(d x + c\right)}}{{\left(a \cot\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(e*cot(d*x + c))/(a*cot(d*x + c) + a)^3, x)","F",0
38,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(1/2)/(a+a*cot(d*x+c))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(a \cot\left(d x + c\right) + a\right)}^{3} \sqrt{e \cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/((a*cot(d*x + c) + a)^3*sqrt(e*cot(d*x + c))), x)","F",0
39,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(3/2)/(a+a*cot(d*x+c))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(a \cot\left(d x + c\right) + a\right)}^{3} \left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((a*cot(d*x + c) + a)^3*(e*cot(d*x + c))^(3/2)), x)","F",0
40,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(5/2)/(a+a*cot(d*x+c))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(a \cot\left(d x + c\right) + a\right)}^{3} \left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((a*cot(d*x + c) + a)^3*(e*cot(d*x + c))^(5/2)), x)","F",0
41,0,0,0,0.000000," ","integrate(cot(x)^2*(1+cot(x))^(1/2),x, algorithm=""giac"")","\int \sqrt{\cot\left(x\right) + 1} \cot\left(x\right)^{2}\,{d x}"," ",0,"integrate(sqrt(cot(x) + 1)*cot(x)^2, x)","F",0
42,0,0,0,0.000000," ","integrate(cot(x)*(1+cot(x))^(1/2),x, algorithm=""giac"")","\int \sqrt{\cot\left(x\right) + 1} \cot\left(x\right)\,{d x}"," ",0,"integrate(sqrt(cot(x) + 1)*cot(x), x)","F",0
43,0,0,0,0.000000," ","integrate(cot(x)^2*(1+cot(x))^(3/2),x, algorithm=""giac"")","\int {\left(\cot\left(x\right) + 1\right)}^{\frac{3}{2}} \cot\left(x\right)^{2}\,{d x}"," ",0,"integrate((cot(x) + 1)^(3/2)*cot(x)^2, x)","F",0
44,0,0,0,0.000000," ","integrate(cot(x)*(1+cot(x))^(3/2),x, algorithm=""giac"")","\int {\left(\cot\left(x\right) + 1\right)}^{\frac{3}{2}} \cot\left(x\right)\,{d x}"," ",0,"integrate((cot(x) + 1)^(3/2)*cot(x), x)","F",0
45,0,0,0,0.000000," ","integrate(cot(x)^2/(1+cot(x))^(1/2),x, algorithm=""giac"")","\int \frac{\cot\left(x\right)^{2}}{\sqrt{\cot\left(x\right) + 1}}\,{d x}"," ",0,"integrate(cot(x)^2/sqrt(cot(x) + 1), x)","F",0
46,0,0,0,0.000000," ","integrate(cot(x)/(1+cot(x))^(1/2),x, algorithm=""giac"")","\int \frac{\cot\left(x\right)}{\sqrt{\cot\left(x\right) + 1}}\,{d x}"," ",0,"integrate(cot(x)/sqrt(cot(x) + 1), x)","F",0
47,0,0,0,0.000000," ","integrate(cot(x)^2/(1+cot(x))^(3/2),x, algorithm=""giac"")","\int \frac{\cot\left(x\right)^{2}}{{\left(\cot\left(x\right) + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cot(x)^2/(cot(x) + 1)^(3/2), x)","F",0
48,0,0,0,0.000000," ","integrate(cot(x)/(1+cot(x))^(3/2),x, algorithm=""giac"")","\int \frac{\cot\left(x\right)}{{\left(\cot\left(x\right) + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cot(x)/(cot(x) + 1)^(3/2), x)","F",0
49,0,0,0,0.000000," ","integrate(cot(x)^2/(1+cot(x))^(5/2),x, algorithm=""giac"")","\int \frac{\cot\left(x\right)^{2}}{{\left(\cot\left(x\right) + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cot(x)^2/(cot(x) + 1)^(5/2), x)","F",0
50,0,0,0,0.000000," ","integrate(cot(x)/(1+cot(x))^(5/2),x, algorithm=""giac"")","\int \frac{\cot\left(x\right)}{{\left(\cot\left(x\right) + 1\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(cot(x)/(cot(x) + 1)^(5/2), x)","F",0
51,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(3/2)*(a+b*cot(d*x+c)),x, algorithm=""giac"")","\int {\left(b \cot\left(d x + c\right) + a\right)} \left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)*(e*cot(d*x + c))^(3/2), x)","F",0
52,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(1/2)*(a+b*cot(d*x+c)),x, algorithm=""giac"")","\int {\left(b \cot\left(d x + c\right) + a\right)} \sqrt{e \cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)*sqrt(e*cot(d*x + c)), x)","F",0
53,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))/(e*cot(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{b \cot\left(d x + c\right) + a}{\sqrt{e \cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)/sqrt(e*cot(d*x + c)), x)","F",0
54,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))/(e*cot(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{b \cot\left(d x + c\right) + a}{\left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)/(e*cot(d*x + c))^(3/2), x)","F",0
55,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))/(e*cot(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{b \cot\left(d x + c\right) + a}{\left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)/(e*cot(d*x + c))^(5/2), x)","F",0
56,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(3/2)*(a+b*cot(d*x+c))^2,x, algorithm=""giac"")","\int {\left(b \cot\left(d x + c\right) + a\right)}^{2} \left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^2*(e*cot(d*x + c))^(3/2), x)","F",0
57,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(1/2)*(a+b*cot(d*x+c))^2,x, algorithm=""giac"")","\int {\left(b \cot\left(d x + c\right) + a\right)}^{2} \sqrt{e \cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^2*sqrt(e*cot(d*x + c)), x)","F",0
58,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))^2/(e*cot(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \cot\left(d x + c\right) + a\right)}^{2}}{\sqrt{e \cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^2/sqrt(e*cot(d*x + c)), x)","F",0
59,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))^2/(e*cot(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \cot\left(d x + c\right) + a\right)}^{2}}{\left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^2/(e*cot(d*x + c))^(3/2), x)","F",0
60,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))^2/(e*cot(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \cot\left(d x + c\right) + a\right)}^{2}}{\left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^2/(e*cot(d*x + c))^(5/2), x)","F",0
61,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))^2/(e*cot(d*x+c))^(7/2),x, algorithm=""giac"")","\int \frac{{\left(b \cot\left(d x + c\right) + a\right)}^{2}}{\left(e \cot\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^2/(e*cot(d*x + c))^(7/2), x)","F",0
62,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(3/2)*(a+b*cot(d*x+c))^3,x, algorithm=""giac"")","\int {\left(b \cot\left(d x + c\right) + a\right)}^{3} \left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^3*(e*cot(d*x + c))^(3/2), x)","F",0
63,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(1/2)*(a+b*cot(d*x+c))^3,x, algorithm=""giac"")","\int {\left(b \cot\left(d x + c\right) + a\right)}^{3} \sqrt{e \cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^3*sqrt(e*cot(d*x + c)), x)","F",0
64,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(b \cot\left(d x + c\right) + a\right)}^{3}}{\sqrt{e \cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^3/sqrt(e*cot(d*x + c)), x)","F",0
65,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(b \cot\left(d x + c\right) + a\right)}^{3}}{\left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^3/(e*cot(d*x + c))^(3/2), x)","F",0
66,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(b \cot\left(d x + c\right) + a\right)}^{3}}{\left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^3/(e*cot(d*x + c))^(5/2), x)","F",0
67,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(7/2),x, algorithm=""giac"")","\int \frac{{\left(b \cot\left(d x + c\right) + a\right)}^{3}}{\left(e \cot\left(d x + c\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^3/(e*cot(d*x + c))^(7/2), x)","F",0
68,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))^3/(e*cot(d*x+c))^(9/2),x, algorithm=""giac"")","\int \frac{{\left(b \cot\left(d x + c\right) + a\right)}^{3}}{\left(e \cot\left(d x + c\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^3/(e*cot(d*x + c))^(9/2), x)","F",0
69,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(5/2)/(a+b*cot(d*x+c)),x, algorithm=""giac"")","\int \frac{\left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}{b \cot\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((e*cot(d*x + c))^(5/2)/(b*cot(d*x + c) + a), x)","F",0
70,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c)),x, algorithm=""giac"")","\int \frac{\left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}{b \cot\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((e*cot(d*x + c))^(3/2)/(b*cot(d*x + c) + a), x)","F",0
71,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c)),x, algorithm=""giac"")","\int \frac{\sqrt{e \cot\left(d x + c\right)}}{b \cot\left(d x + c\right) + a}\,{d x}"," ",0,"integrate(sqrt(e*cot(d*x + c))/(b*cot(d*x + c) + a), x)","F",0
72,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \cot\left(d x + c\right) + a\right)} \sqrt{e \cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/((b*cot(d*x + c) + a)*sqrt(e*cot(d*x + c))), x)","F",0
73,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \cot\left(d x + c\right) + a\right)} \left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*cot(d*x + c) + a)*(e*cot(d*x + c))^(3/2)), x)","F",0
74,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(5/2)/(a+b*cot(d*x+c)),x, algorithm=""giac"")","\int \frac{1}{{\left(b \cot\left(d x + c\right) + a\right)} \left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((b*cot(d*x + c) + a)*(e*cot(d*x + c))^(5/2)), x)","F",0
75,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(7/2)/(a+b*cot(d*x+c))^2,x, algorithm=""giac"")","\int \frac{\left(e \cot\left(d x + c\right)\right)^{\frac{7}{2}}}{{\left(b \cot\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*cot(d*x + c))^(7/2)/(b*cot(d*x + c) + a)^2, x)","F",0
76,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(5/2)/(a+b*cot(d*x+c))^2,x, algorithm=""giac"")","\int \frac{\left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}{{\left(b \cot\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*cot(d*x + c))^(5/2)/(b*cot(d*x + c) + a)^2, x)","F",0
77,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c))^2,x, algorithm=""giac"")","\int \frac{\left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}{{\left(b \cot\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((e*cot(d*x + c))^(3/2)/(b*cot(d*x + c) + a)^2, x)","F",0
78,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c))^2,x, algorithm=""giac"")","\int \frac{\sqrt{e \cot\left(d x + c\right)}}{{\left(b \cot\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate(sqrt(e*cot(d*x + c))/(b*cot(d*x + c) + a)^2, x)","F",0
79,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \cot\left(d x + c\right) + a\right)}^{2} \sqrt{e \cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/((b*cot(d*x + c) + a)^2*sqrt(e*cot(d*x + c))), x)","F",0
80,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c))^2,x, algorithm=""giac"")","\int \frac{1}{{\left(b \cot\left(d x + c\right) + a\right)}^{2} \left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*cot(d*x + c) + a)^2*(e*cot(d*x + c))^(3/2)), x)","F",0
81,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(9/2)/(a+b*cot(d*x+c))^3,x, algorithm=""giac"")","\int \frac{\left(e \cot\left(d x + c\right)\right)^{\frac{9}{2}}}{{\left(b \cot\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((e*cot(d*x + c))^(9/2)/(b*cot(d*x + c) + a)^3, x)","F",0
82,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(7/2)/(a+b*cot(d*x+c))^3,x, algorithm=""giac"")","\int \frac{\left(e \cot\left(d x + c\right)\right)^{\frac{7}{2}}}{{\left(b \cot\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((e*cot(d*x + c))^(7/2)/(b*cot(d*x + c) + a)^3, x)","F",0
83,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(5/2)/(a+b*cot(d*x+c))^3,x, algorithm=""giac"")","\int \frac{\left(e \cot\left(d x + c\right)\right)^{\frac{5}{2}}}{{\left(b \cot\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((e*cot(d*x + c))^(5/2)/(b*cot(d*x + c) + a)^3, x)","F",0
84,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c))^3,x, algorithm=""giac"")","\int \frac{\left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}{{\left(b \cot\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((e*cot(d*x + c))^(3/2)/(b*cot(d*x + c) + a)^3, x)","F",0
85,0,0,0,0.000000," ","integrate((e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c))^3,x, algorithm=""giac"")","\int \frac{\sqrt{e \cot\left(d x + c\right)}}{{\left(b \cot\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate(sqrt(e*cot(d*x + c))/(b*cot(d*x + c) + a)^3, x)","F",0
86,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(1/2)/(a+b*cot(d*x+c))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(b \cot\left(d x + c\right) + a\right)}^{3} \sqrt{e \cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate(1/((b*cot(d*x + c) + a)^3*sqrt(e*cot(d*x + c))), x)","F",0
87,0,0,0,0.000000," ","integrate(1/(e*cot(d*x+c))^(3/2)/(a+b*cot(d*x+c))^3,x, algorithm=""giac"")","\int \frac{1}{{\left(b \cot\left(d x + c\right) + a\right)}^{3} \left(e \cot\left(d x + c\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((b*cot(d*x + c) + a)^3*(e*cot(d*x + c))^(3/2)), x)","F",0
88,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))^n,x, algorithm=""giac"")","\int {\left(b \cot\left(d x + c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^n, x)","F",0
89,0,0,0,0.000000," ","integrate((a+b*cot(f*x+e))^m*(d*tan(f*x+e))^n,x, algorithm=""giac"")","\int {\left(b \cot\left(f x + e\right) + a\right)}^{m} \left(d \tan\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((b*cot(f*x + e) + a)^m*(d*tan(f*x + e))^n, x)","F",0
90,0,0,0,0.000000," ","integrate((1+I*cot(d*x+c))/(a+b*cot(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{i \, \cot\left(d x + c\right) + 1}{\sqrt{b \cot\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((I*cot(d*x + c) + 1)/sqrt(b*cot(d*x + c) + a), x)","F",0
91,0,0,0,0.000000," ","integrate((1-I*cot(d*x+c))/(a+b*cot(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{-i \, \cot\left(d x + c\right) + 1}{\sqrt{b \cot\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((-I*cot(d*x + c) + 1)/sqrt(b*cot(d*x + c) + a), x)","F",0
92,1,95,0,0.534166," ","integrate((A+B*cot(d*x+c))/(a+b*cot(d*x+c)),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(A a + B b\right)} {\left(d x + c\right)}}{a^{2} + b^{2}} - \frac{{\left(B a - A b\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}} + \frac{2 \, {\left(B a^{2} - A a b\right)} \log\left({\left| a \tan\left(d x + c\right) + b \right|}\right)}{a^{3} + a b^{2}}}{2 \, d}"," ",0,"1/2*(2*(A*a + B*b)*(d*x + c)/(a^2 + b^2) - (B*a - A*b)*log(tan(d*x + c)^2 + 1)/(a^2 + b^2) + 2*(B*a^2 - A*a*b)*log(abs(a*tan(d*x + c) + b))/(a^3 + a*b^2))/d","A",0
93,1,241,0,0.489543," ","integrate((A+B*cot(d*x+c))/(a+b*cot(d*x+c))^2,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(A a^{2} + 2 \, B a b - A b^{2}\right)} {\left(d x + c\right)}}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{{\left(B a^{2} - 2 \, A a b - B b^{2}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{2 \, {\left(B a^{3} - 2 \, A a^{2} b - B a b^{2}\right)} \log\left({\left| a \tan\left(d x + c\right) + b \right|}\right)}{a^{5} + 2 \, a^{3} b^{2} + a b^{4}} - \frac{2 \, {\left(B a^{4} \tan\left(d x + c\right) - 2 \, A a^{3} b \tan\left(d x + c\right) - B a^{2} b^{2} \tan\left(d x + c\right) - A a^{2} b^{2} - 2 \, B a b^{3} + A b^{4}\right)}}{{\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} {\left(a \tan\left(d x + c\right) + b\right)}}}{2 \, d}"," ",0,"1/2*(2*(A*a^2 + 2*B*a*b - A*b^2)*(d*x + c)/(a^4 + 2*a^2*b^2 + b^4) - (B*a^2 - 2*A*a*b - B*b^2)*log(tan(d*x + c)^2 + 1)/(a^4 + 2*a^2*b^2 + b^4) + 2*(B*a^3 - 2*A*a^2*b - B*a*b^2)*log(abs(a*tan(d*x + c) + b))/(a^5 + 2*a^3*b^2 + a*b^4) - 2*(B*a^4*tan(d*x + c) - 2*A*a^3*b*tan(d*x + c) - B*a^2*b^2*tan(d*x + c) - A*a^2*b^2 - 2*B*a*b^3 + A*b^4)/((a^5 + 2*a^3*b^2 + a*b^4)*(a*tan(d*x + c) + b)))/d","B",0
94,1,412,0,0.489407," ","integrate((A+B*cot(d*x+c))/(a+b*cot(d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(A a^{3} + 3 \, B a^{2} b - 3 \, A a b^{2} - B b^{3}\right)} {\left(d x + c\right)}}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} - \frac{{\left(B a^{3} - 3 \, A a^{2} b - 3 \, B a b^{2} + A b^{3}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} + \frac{2 \, {\left(B a^{4} - 3 \, A a^{3} b - 3 \, B a^{2} b^{2} + A a b^{3}\right)} \log\left({\left| a \tan\left(d x + c\right) + b \right|}\right)}{a^{7} + 3 \, a^{5} b^{2} + 3 \, a^{3} b^{4} + a b^{6}} - \frac{3 \, B a^{7} \tan\left(d x + c\right)^{2} - 9 \, A a^{6} b \tan\left(d x + c\right)^{2} - 9 \, B a^{5} b^{2} \tan\left(d x + c\right)^{2} + 3 \, A a^{4} b^{3} \tan\left(d x + c\right)^{2} + 2 \, B a^{6} b \tan\left(d x + c\right) - 12 \, A a^{5} b^{2} \tan\left(d x + c\right) - 22 \, B a^{4} b^{3} \tan\left(d x + c\right) + 14 \, A a^{3} b^{4} \tan\left(d x + c\right) + 2 \, A a b^{6} \tan\left(d x + c\right) - 4 \, A a^{4} b^{3} - 11 \, B a^{3} b^{4} + 9 \, A a^{2} b^{5} + B a b^{6} + A b^{7}}{{\left(a^{8} + 3 \, a^{6} b^{2} + 3 \, a^{4} b^{4} + a^{2} b^{6}\right)} {\left(a \tan\left(d x + c\right) + b\right)}^{2}}}{2 \, d}"," ",0,"1/2*(2*(A*a^3 + 3*B*a^2*b - 3*A*a*b^2 - B*b^3)*(d*x + c)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - (B*a^3 - 3*A*a^2*b - 3*B*a*b^2 + A*b^3)*log(tan(d*x + c)^2 + 1)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + 2*(B*a^4 - 3*A*a^3*b - 3*B*a^2*b^2 + A*a*b^3)*log(abs(a*tan(d*x + c) + b))/(a^7 + 3*a^5*b^2 + 3*a^3*b^4 + a*b^6) - (3*B*a^7*tan(d*x + c)^2 - 9*A*a^6*b*tan(d*x + c)^2 - 9*B*a^5*b^2*tan(d*x + c)^2 + 3*A*a^4*b^3*tan(d*x + c)^2 + 2*B*a^6*b*tan(d*x + c) - 12*A*a^5*b^2*tan(d*x + c) - 22*B*a^4*b^3*tan(d*x + c) + 14*A*a^3*b^4*tan(d*x + c) + 2*A*a*b^6*tan(d*x + c) - 4*A*a^4*b^3 - 11*B*a^3*b^4 + 9*A*a^2*b^5 + B*a*b^6 + A*b^7)/((a^8 + 3*a^6*b^2 + 3*a^4*b^4 + a^2*b^6)*(a*tan(d*x + c) + b)^2))/d","B",0
95,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))^(5/2)*(A+B*cot(d*x+c)),x, algorithm=""giac"")","\int {\left(B \cot\left(d x + c\right) + A\right)} {\left(b \cot\left(d x + c\right) + a\right)}^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*cot(d*x + c) + A)*(b*cot(d*x + c) + a)^(5/2), x)","F",0
96,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))^(3/2)*(A+B*cot(d*x+c)),x, algorithm=""giac"")","\int {\left(B \cot\left(d x + c\right) + A\right)} {\left(b \cot\left(d x + c\right) + a\right)}^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*cot(d*x + c) + A)*(b*cot(d*x + c) + a)^(3/2), x)","F",0
97,0,0,0,0.000000," ","integrate((a+b*cot(d*x+c))^(1/2)*(A+B*cot(d*x+c)),x, algorithm=""giac"")","\int {\left(B \cot\left(d x + c\right) + A\right)} \sqrt{b \cot\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((B*cot(d*x + c) + A)*sqrt(b*cot(d*x + c) + a), x)","F",0
98,0,0,0,0.000000," ","integrate((-a+b*cot(d*x+c))*(a+b*cot(d*x+c))^(5/2),x, algorithm=""giac"")","\int {\left(b \cot\left(d x + c\right) + a\right)}^{\frac{5}{2}} {\left(b \cot\left(d x + c\right) - a\right)}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^(5/2)*(b*cot(d*x + c) - a), x)","F",0
99,0,0,0,0.000000," ","integrate((-a+b*cot(d*x+c))*(a+b*cot(d*x+c))^(3/2),x, algorithm=""giac"")","\int {\left(b \cot\left(d x + c\right) + a\right)}^{\frac{3}{2}} {\left(b \cot\left(d x + c\right) - a\right)}\,{d x}"," ",0,"integrate((b*cot(d*x + c) + a)^(3/2)*(b*cot(d*x + c) - a), x)","F",0
100,0,0,0,0.000000," ","integrate((-a+b*cot(d*x+c))*(a+b*cot(d*x+c))^(1/2),x, algorithm=""giac"")","\int \sqrt{b \cot\left(d x + c\right) + a} {\left(b \cot\left(d x + c\right) - a\right)}\,{d x}"," ",0,"integrate(sqrt(b*cot(d*x + c) + a)*(b*cot(d*x + c) - a), x)","F",0
101,0,0,0,0.000000," ","integrate((A+B*cot(d*x+c))/(a+b*cot(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{B \cot\left(d x + c\right) + A}{\sqrt{b \cot\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((B*cot(d*x + c) + A)/sqrt(b*cot(d*x + c) + a), x)","F",0
102,0,0,0,0.000000," ","integrate((A+B*cot(d*x+c))/(a+b*cot(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{B \cot\left(d x + c\right) + A}{{\left(b \cot\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*cot(d*x + c) + A)/(b*cot(d*x + c) + a)^(3/2), x)","F",0
103,0,0,0,0.000000," ","integrate((A+B*cot(d*x+c))/(a+b*cot(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{B \cot\left(d x + c\right) + A}{{\left(b \cot\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*cot(d*x + c) + A)/(b*cot(d*x + c) + a)^(5/2), x)","F",0
104,0,0,0,0.000000," ","integrate((-a+b*cot(d*x+c))/(a+b*cot(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{b \cot\left(d x + c\right) - a}{\sqrt{b \cot\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) - a)/sqrt(b*cot(d*x + c) + a), x)","F",0
105,0,0,0,0.000000," ","integrate((-a+b*cot(d*x+c))/(a+b*cot(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{b \cot\left(d x + c\right) - a}{{\left(b \cot\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) - a)/(b*cot(d*x + c) + a)^(3/2), x)","F",0
106,0,0,0,0.000000," ","integrate((-a+b*cot(d*x+c))/(a+b*cot(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{b \cot\left(d x + c\right) - a}{{\left(b \cot\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*cot(d*x + c) - a)/(b*cot(d*x + c) + a)^(5/2), x)","F",0
