3.1 \(\int (a+i a \cot (c+d x))^n \, dx\)
 3.2 \(\int (e \cot (c+d x))^{5/2} (a+a \cot (c+d x)) \, dx\)
 3.3 \(\int (e \cot (c+d x))^{3/2} (a+a \cot (c+d x)) \, dx\)
 3.4 \(\int \sqrt{e \cot (c+d x)} (a+a \cot (c+d x)) \, dx\)
 3.5 \(\int \frac{a+a \cot (c+d x)}{\sqrt{e \cot (c+d x)}} \, dx\)
 3.6 \(\int \frac{a+a \cot (c+d x)}{(e \cot (c+d x))^{3/2}} \, dx\)
 3.7 \(\int \frac{a+a \cot (c+d x)}{(e \cot (c+d x))^{5/2}} \, dx\)
 3.8 \(\int (e \cot (c+d x))^{5/2} (a+a \cot (c+d x))^2 \, dx\)
 3.9 \(\int (e \cot (c+d x))^{3/2} (a+a \cot (c+d x))^2 \, dx\)
 3.10 \(\int \sqrt{e \cot (c+d x)} (a+a \cot (c+d x))^2 \, dx\)
 3.11 \(\int \frac{(a+a \cot (c+d x))^2}{\sqrt{e \cot (c+d x)}} \, dx\)
 3.12 \(\int \frac{(a+a \cot (c+d x))^2}{(e \cot (c+d x))^{3/2}} \, dx\)
 3.13 \(\int \frac{(a+a \cot (c+d x))^2}{(e \cot (c+d x))^{5/2}} \, dx\)
 3.14 \(\int \frac{(a+a \cot (c+d x))^2}{(e \cot (c+d x))^{7/2}} \, dx\)
 3.15 \(\int (e \cot (c+d x))^{5/2} (a+a \cot (c+d x))^3 \, dx\)
 3.16 \(\int (e \cot (c+d x))^{3/2} (a+a \cot (c+d x))^3 \, dx\)
 3.17 \(\int \sqrt{e \cot (c+d x)} (a+a \cot (c+d x))^3 \, dx\)
 3.18 \(\int \frac{(a+a \cot (c+d x))^3}{\sqrt{e \cot (c+d x)}} \, dx\)
 3.19 \(\int \frac{(a+a \cot (c+d x))^3}{(e \cot (c+d x))^{3/2}} \, dx\)
 3.20 \(\int \frac{(a+a \cot (c+d x))^3}{(e \cot (c+d x))^{5/2}} \, dx\)
 3.21 \(\int \frac{(a+a \cot (c+d x))^3}{(e \cot (c+d x))^{7/2}} \, dx\)
 3.22 \(\int \frac{(a+a \cot (c+d x))^3}{(e \cot (c+d x))^{9/2}} \, dx\)
 3.23 \(\int \frac{(e \cot (c+d x))^{5/2}}{a+a \cot (c+d x)} \, dx\)
 3.24 \(\int \frac{(e \cot (c+d x))^{3/2}}{a+a \cot (c+d x)} \, dx\)
 3.25 \(\int \frac{\sqrt{e \cot (c+d x)}}{a+a \cot (c+d x)} \, dx\)
 3.26 \(\int \frac{1}{\sqrt{e \cot (c+d x)} (a+a \cot (c+d x))} \, dx\)
 3.27 \(\int \frac{1}{(e \cot (c+d x))^{3/2} (a+a \cot (c+d x))} \, dx\)
 3.28 \(\int \frac{1}{(e \cot (c+d x))^{5/2} (a+a \cot (c+d x))} \, dx\)
 3.29 \(\int \frac{(e \cot (c+d x))^{5/2}}{(a+a \cot (c+d x))^2} \, dx\)
 3.30 \(\int \frac{(e \cot (c+d x))^{3/2}}{(a+a \cot (c+d x))^2} \, dx\)
 3.31 \(\int \frac{\sqrt{e \cot (c+d x)}}{(a+a \cot (c+d x))^2} \, dx\)
 3.32 \(\int \frac{1}{\sqrt{e \cot (c+d x)} (a+a \cot (c+d x))^2} \, dx\)
 3.33 \(\int \frac{1}{(e \cot (c+d x))^{3/2} (a+a \cot (c+d x))^2} \, dx\)
 3.34 \(\int \frac{1}{(e \cot (c+d x))^{5/2} (a+a \cot (c+d x))^2} \, dx\)
 3.35 \(\int \frac{(e \cot (c+d x))^{5/2}}{(a+a \cot (c+d x))^3} \, dx\)
 3.36 \(\int \frac{(e \cot (c+d x))^{3/2}}{(a+a \cot (c+d x))^3} \, dx\)
 3.37 \(\int \frac{\sqrt{e \cot (c+d x)}}{(a+a \cot (c+d x))^3} \, dx\)
 3.38 \(\int \frac{1}{\sqrt{e \cot (c+d x)} (a+a \cot (c+d x))^3} \, dx\)
 3.39 \(\int \frac{1}{(e \cot (c+d x))^{3/2} (a+a \cot (c+d x))^3} \, dx\)
 3.40 \(\int \frac{1}{(e \cot (c+d x))^{5/2} (a+a \cot (c+d x))^3} \, dx\)
 3.41 \(\int \cot ^2(x) \sqrt{1+\cot (x)} \, dx\)
 3.42 \(\int \cot (x) \sqrt{1+\cot (x)} \, dx\)
 3.43 \(\int \cot ^2(x) (1+\cot (x))^{3/2} \, dx\)
 3.44 \(\int \cot (x) (1+\cot (x))^{3/2} \, dx\)
 3.45 \(\int \frac{\cot ^2(x)}{\sqrt{1+\cot (x)}} \, dx\)
 3.46 \(\int \frac{\cot (x)}{\sqrt{1+\cot (x)}} \, dx\)
 3.47 \(\int \frac{\cot ^2(x)}{(1+\cot (x))^{3/2}} \, dx\)
 3.48 \(\int \frac{\cot (x)}{(1+\cot (x))^{3/2}} \, dx\)
 3.49 \(\int \frac{\cot ^2(x)}{(1+\cot (x))^{5/2}} \, dx\)
 3.50 \(\int \frac{\cot (x)}{(1+\cot (x))^{5/2}} \, dx\)
 3.51 \(\int (e \cot (c+d x))^{3/2} (a+b \cot (c+d x)) \, dx\)
 3.52 \(\int \sqrt{e \cot (c+d x)} (a+b \cot (c+d x)) \, dx\)
 3.53 \(\int \frac{a+b \cot (c+d x)}{\sqrt{e \cot (c+d x)}} \, dx\)
 3.54 \(\int \frac{a+b \cot (c+d x)}{(e \cot (c+d x))^{3/2}} \, dx\)
 3.55 \(\int \frac{a+b \cot (c+d x)}{(e \cot (c+d x))^{5/2}} \, dx\)
 3.56 \(\int (e \cot (c+d x))^{3/2} (a+b \cot (c+d x))^2 \, dx\)
 3.57 \(\int \sqrt{e \cot (c+d x)} (a+b \cot (c+d x))^2 \, dx\)
 3.58 \(\int \frac{(a+b \cot (c+d x))^2}{\sqrt{e \cot (c+d x)}} \, dx\)
 3.59 \(\int \frac{(a+b \cot (c+d x))^2}{(e \cot (c+d x))^{3/2}} \, dx\)
 3.60 \(\int \frac{(a+b \cot (c+d x))^2}{(e \cot (c+d x))^{5/2}} \, dx\)
 3.61 \(\int \frac{(a+b \cot (c+d x))^2}{(e \cot (c+d x))^{7/2}} \, dx\)
 3.62 \(\int (e \cot (c+d x))^{3/2} (a+b \cot (c+d x))^3 \, dx\)
 3.63 \(\int \sqrt{e \cot (c+d x)} (a+b \cot (c+d x))^3 \, dx\)
 3.64 \(\int \frac{(a+b \cot (c+d x))^3}{\sqrt{e \cot (c+d x)}} \, dx\)
 3.65 \(\int \frac{(a+b \cot (c+d x))^3}{(e \cot (c+d x))^{3/2}} \, dx\)
 3.66 \(\int \frac{(a+b \cot (c+d x))^3}{(e \cot (c+d x))^{5/2}} \, dx\)
 3.67 \(\int \frac{(a+b \cot (c+d x))^3}{(e \cot (c+d x))^{7/2}} \, dx\)
 3.68 \(\int \frac{(a+b \cot (c+d x))^3}{(e \cot (c+d x))^{9/2}} \, dx\)
 3.69 \(\int \frac{(e \cot (c+d x))^{5/2}}{a+b \cot (c+d x)} \, dx\)
 3.70 \(\int \frac{(e \cot (c+d x))^{3/2}}{a+b \cot (c+d x)} \, dx\)
 3.71 \(\int \frac{\sqrt{e \cot (c+d x)}}{a+b \cot (c+d x)} \, dx\)
 3.72 \(\int \frac{1}{\sqrt{e \cot (c+d x)} (a+b \cot (c+d x))} \, dx\)
 3.73 \(\int \frac{1}{(e \cot (c+d x))^{3/2} (a+b \cot (c+d x))} \, dx\)
 3.74 \(\int \frac{1}{(e \cot (c+d x))^{5/2} (a+b \cot (c+d x))} \, dx\)
 3.75 \(\int \frac{(e \cot (c+d x))^{7/2}}{(a+b \cot (c+d x))^2} \, dx\)
 3.76 \(\int \frac{(e \cot (c+d x))^{5/2}}{(a+b \cot (c+d x))^2} \, dx\)
 3.77 \(\int \frac{(e \cot (c+d x))^{3/2}}{(a+b \cot (c+d x))^2} \, dx\)
 3.78 \(\int \frac{\sqrt{e \cot (c+d x)}}{(a+b \cot (c+d x))^2} \, dx\)
 3.79 \(\int \frac{1}{\sqrt{e \cot (c+d x)} (a+b \cot (c+d x))^2} \, dx\)
 3.80 \(\int \frac{1}{(e \cot (c+d x))^{3/2} (a+b \cot (c+d x))^2} \, dx\)
 3.81 \(\int \frac{(e \cot (c+d x))^{9/2}}{(a+b \cot (c+d x))^3} \, dx\)
 3.82 \(\int \frac{(e \cot (c+d x))^{7/2}}{(a+b \cot (c+d x))^3} \, dx\)
 3.83 \(\int \frac{(e \cot (c+d x))^{5/2}}{(a+b \cot (c+d x))^3} \, dx\)
 3.84 \(\int \frac{(e \cot (c+d x))^{3/2}}{(a+b \cot (c+d x))^3} \, dx\)
 3.85 \(\int \frac{\sqrt{e \cot (c+d x)}}{(a+b \cot (c+d x))^3} \, dx\)
 3.86 \(\int \frac{1}{\sqrt{e \cot (c+d x)} (a+b \cot (c+d x))^3} \, dx\)
 3.87 \(\int \frac{1}{(e \cot (c+d x))^{3/2} (a+b \cot (c+d x))^3} \, dx\)
 3.88 \(\int (a+b \cot (c+d x))^n \, dx\)
 3.89 \(\int (a+b \cot (e+f x))^m (d \tan (e+f x))^n \, dx\)
 3.90 \(\int \frac{1+i \cot (c+d x)}{\sqrt{a+b \cot (c+d x)}} \, dx\)
 3.91 \(\int \frac{1-i \cot (c+d x)}{\sqrt{a+b \cot (c+d x)}} \, dx\)
 3.92 \(\int \frac{A+B \cot (c+d x)}{a+b \cot (c+d x)} \, dx\)
 3.93 \(\int \frac{A+B \cot (c+d x)}{(a+b \cot (c+d x))^2} \, dx\)
 3.94 \(\int \frac{A+B \cot (c+d x)}{(a+b \cot (c+d x))^3} \, dx\)
 3.95 \(\int (a+b \cot (c+d x))^{5/2} (A+B \cot (c+d x)) \, dx\)
 3.96 \(\int (a+b \cot (c+d x))^{3/2} (A+B \cot (c+d x)) \, dx\)
 3.97 \(\int \sqrt{a+b \cot (c+d x)} (A+B \cot (c+d x)) \, dx\)
 3.98 \(\int (-a+b \cot (c+d x)) (a+b \cot (c+d x))^{5/2} \, dx\)
 3.99 \(\int (-a+b \cot (c+d x)) (a+b \cot (c+d x))^{3/2} \, dx\)
 3.100 \(\int (-a+b \cot (c+d x)) \sqrt{a+b \cot (c+d x)} \, dx\)
 3.101 \(\int \frac{A+B \cot (c+d x)}{\sqrt{a+b \cot (c+d x)}} \, dx\)
 3.102 \(\int \frac{A+B \cot (c+d x)}{(a+b \cot (c+d x))^{3/2}} \, dx\)
 3.103 \(\int \frac{A+B \cot (c+d x)}{(a+b \cot (c+d x))^{5/2}} \, dx\)
 3.104 \(\int \frac{-a+b \cot (c+d x)}{\sqrt{a+b \cot (c+d x)}} \, dx\)
 3.105 \(\int \frac{-a+b \cot (c+d x)}{(a+b \cot (c+d x))^{3/2}} \, dx\)
 3.106 \(\int \frac{-a+b \cot (c+d x)}{(a+b \cot (c+d x))^{5/2}} \, dx\)