Chapter 3
Listing of integrals

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