Chapter 3
Listing of integrals

 3.1 \(\int \frac{A+C \cot ^2(c+d x)}{\sqrt{b \tan (c+d x)}} \, dx\)
 3.2 \(\int (a+b \cot ^2(c+d x)) \, dx\)
 3.3 \(\int (a+b \cot ^2(c+d x))^2 \, dx\)
 3.4 \(\int (a+b \cot ^2(c+d x))^3 \, dx\)
 3.5 \(\int \frac{1}{a+b \cot ^2(c+d x)} \, dx\)
 3.6 \(\int \frac{1}{(a+b \cot ^2(c+d x))^2} \, dx\)
 3.7 \(\int \frac{1}{(a+b \cot ^2(c+d x))^3} \, dx\)
 3.8 \(\int (1+\cot ^2(x))^{3/2} \, dx\)
 3.9 \(\int \sqrt{1+\cot ^2(x)} \, dx\)
 3.10 \(\int \frac{1}{\sqrt{1+\cot ^2(x)}} \, dx\)
 3.11 \(\int (-1-\cot ^2(x))^{3/2} \, dx\)
 3.12 \(\int \sqrt{-1-\cot ^2(x)} \, dx\)
 3.13 \(\int \frac{1}{\sqrt{-1-\cot ^2(x)}} \, dx\)
 3.14 \(\int \frac{\cot ^3(x)}{\sqrt{a+a \cot ^2(x)}} \, dx\)
 3.15 \(\int \frac{\cot ^2(x)}{\sqrt{a+a \cot ^2(x)}} \, dx\)
 3.16 \(\int \frac{\cot (x)}{\sqrt{a+a \cot ^2(x)}} \, dx\)
 3.17 \(\int \frac{\tan (x)}{\sqrt{a+a \cot ^2(x)}} \, dx\)
 3.18 \(\int \frac{\tan ^2(x)}{\sqrt{a+a \cot ^2(x)}} \, dx\)
 3.19 \(\int \cot ^3(x) \sqrt{a+b \cot ^2(x)} \, dx\)
 3.20 \(\int \cot (x) \sqrt{a+b \cot ^2(x)} \, dx\)
 3.21 \(\int \sqrt{a+b \cot ^2(x)} \tan (x) \, dx\)
 3.22 \(\int \cot ^2(x) \sqrt{a+b \cot ^2(x)} \, dx\)
 3.23 \(\int \sqrt{a+b \cot ^2(x)} \, dx\)
 3.24 \(\int \sqrt{a+b \cot ^2(x)} \tan ^2(x) \, dx\)
 3.25 \(\int \sqrt{a+b \cot ^2(x)} \tan ^4(x) \, dx\)
 3.26 \(\int \cot ^3(x) (a+b \cot ^2(x))^{3/2} \, dx\)
 3.27 \(\int \cot ^2(x) (a+b \cot ^2(x))^{3/2} \, dx\)
 3.28 \(\int \cot (x) (a+b \cot ^2(x))^{3/2} \, dx\)
 3.29 \(\int (a+b \cot ^2(x))^{3/2} \tan (x) \, dx\)
 3.30 \(\int (a+b \cot ^2(x))^{3/2} \tan ^2(x) \, dx\)
 3.31 \(\int (a+b \cot ^2(c+d x))^{5/2} \, dx\)
 3.32 \(\int (a+b \cot ^2(c+d x))^{3/2} \, dx\)
 3.33 \(\int \sqrt{a+b \cot ^2(c+d x)} \, dx\)
 3.34 \(\int \frac{1}{\sqrt{a+b \cot ^2(c+d x)}} \, dx\)
 3.35 \(\int \frac{1}{(a+b \cot ^2(c+d x))^{3/2}} \, dx\)
 3.36 \(\int \frac{1}{(a+b \cot ^2(c+d x))^{5/2}} \, dx\)
 3.37 \(\int \frac{1}{(a+b \cot ^2(c+d x))^{7/2}} \, dx\)
 3.38 \(\int (1-\cot ^2(x))^{3/2} \, dx\)
 3.39 \(\int \sqrt{1-\cot ^2(x)} \, dx\)
 3.40 \(\int \frac{1}{\sqrt{1-\cot ^2(x)}} \, dx\)
 3.41 \(\int (-1+\cot ^2(x))^{3/2} \, dx\)
 3.42 \(\int \sqrt{-1+\cot ^2(x)} \, dx\)
 3.43 \(\int \frac{1}{\sqrt{-1+\cot ^2(x)}} \, dx\)
 3.44 \(\int \frac{\cot ^3(x)}{\sqrt{a+b \cot ^2(x)}} \, dx\)
 3.45 \(\int \frac{\cot ^2(x)}{\sqrt{a+b \cot ^2(x)}} \, dx\)
 3.46 \(\int \frac{\cot (x)}{\sqrt{a+b \cot ^2(x)}} \, dx\)
 3.47 \(\int \frac{\tan (x)}{\sqrt{a+b \cot ^2(x)}} \, dx\)
 3.48 \(\int \frac{\tan ^2(x)}{\sqrt{a+b \cot ^2(x)}} \, dx\)
 3.49 \(\int \frac{\cot ^3(x)}{(a+b \cot ^2(x))^{3/2}} \, dx\)
 3.50 \(\int \frac{\cot ^2(x)}{(a+b \cot ^2(x))^{3/2}} \, dx\)
 3.51 \(\int \frac{\cot (x)}{(a+b \cot ^2(x))^{3/2}} \, dx\)
 3.52 \(\int \frac{\tan (x)}{(a+b \cot ^2(x))^{3/2}} \, dx\)
 3.53 \(\int \frac{\tan ^2(x)}{(a+b \cot ^2(x))^{3/2}} \, dx\)
 3.54 \(\int \frac{\cot ^3(x)}{(a+b \cot ^2(x))^{5/2}} \, dx\)
 3.55 \(\int \frac{\cot ^2(x)}{(a+b \cot ^2(x))^{5/2}} \, dx\)
 3.56 \(\int \frac{\cot (x)}{(a+b \cot ^2(x))^{5/2}} \, dx\)
 3.57 \(\int \frac{\tan (x)}{(a+b \cot ^2(x))^{5/2}} \, dx\)
 3.58 \(\int \frac{\tan ^2(x)}{(a+b \cot ^2(x))^{5/2}} \, dx\)
 3.59 \(\int \frac{1}{1+\cot ^3(x)} \, dx\)
 3.60 \(\int \cot (x) \sqrt{a+b \cot ^4(x)} \, dx\)
 3.61 \(\int \cot (x) (a+b \cot ^4(x))^{3/2} \, dx\)
 3.62 \(\int \frac{\cot (x)}{\sqrt{a+b \cot ^4(x)}} \, dx\)
 3.63 \(\int \frac{\cot (x)}{(a+b \cot ^4(x))^{3/2}} \, dx\)
 3.64 \(\int \frac{\cot (x)}{(a+b \cot ^4(x))^{5/2}} \, dx\)