Chapter 3
Listing of integrals

 3.1 \(\int \frac{\sinh ^4(x)}{a-a \cosh ^2(x)} \, dx\)
 3.2 \(\int \frac{\sinh ^3(x)}{a-a \cosh ^2(x)} \, dx\)
 3.3 \(\int \frac{\sinh ^2(x)}{a-a \cosh ^2(x)} \, dx\)
 3.4 \(\int \frac{\text{csch}^2(x)}{a-a \cosh ^2(x)} \, dx\)
 3.5 \(\int \frac{\text{csch}^4(x)}{a-a \cosh ^2(x)} \, dx\)
 3.6 \(\int \frac{\sinh ^7(x)}{a+b \cosh ^2(x)} \, dx\)
 3.7 \(\int \frac{\sinh ^5(x)}{a+b \cosh ^2(x)} \, dx\)
 3.8 \(\int \frac{\sinh ^3(x)}{a+b \cosh ^2(x)} \, dx\)
 3.9 \(\int \frac{\sinh (x)}{a+b \cosh ^2(x)} \, dx\)
 3.10 \(\int \frac{\text{csch}(x)}{a+b \cosh ^2(x)} \, dx\)
 3.11 \(\int \frac{\text{csch}^3(x)}{a+b \cosh ^2(x)} \, dx\)
 3.12 \(\int \frac{\text{csch}^5(x)}{a+b \cosh ^2(x)} \, dx\)
 3.13 \(\int \frac{\sinh ^6(x)}{a+b \cosh ^2(x)} \, dx\)
 3.14 \(\int \frac{\sinh ^4(x)}{a+b \cosh ^2(x)} \, dx\)
 3.15 \(\int \frac{\sinh ^2(x)}{a+b \cosh ^2(x)} \, dx\)
 3.16 \(\int \frac{1}{a+b \cosh ^2(x)} \, dx\)
 3.17 \(\int \frac{\text{csch}^4(x)}{a+b \cosh ^2(x)} \, dx\)
 3.18 \(\int \frac{\text{csch}^6(x)}{a+b \cosh ^2(x)} \, dx\)
 3.19 \(\int \frac{\sinh (x)}{4-3 \cosh ^3(x)} \, dx\)
 3.20 \(\int \frac{\cosh ^7(x)}{a+b \cosh ^2(x)} \, dx\)
 3.21 \(\int \frac{\cosh ^6(x)}{a+b \cosh ^2(x)} \, dx\)
 3.22 \(\int \frac{\cosh ^5(x)}{a+b \cosh ^2(x)} \, dx\)
 3.23 \(\int \frac{\cosh ^4(x)}{a+b \cosh ^2(x)} \, dx\)
 3.24 \(\int \frac{\cosh ^3(x)}{a+b \cosh ^2(x)} \, dx\)
 3.25 \(\int \frac{\cosh ^2(x)}{a+b \cosh ^2(x)} \, dx\)
 3.26 \(\int \frac{\cosh (x)}{a+b \cosh ^2(x)} \, dx\)
 3.27 \(\int \frac{1}{a+b \cosh ^2(x)} \, dx\)
 3.28 \(\int \frac{\text{sech}(x)}{a+b \cosh ^2(x)} \, dx\)
 3.29 \(\int \frac{\text{sech}^2(x)}{a+b \cosh ^2(x)} \, dx\)
 3.30 \(\int \frac{\text{sech}^3(x)}{a+b \cosh ^2(x)} \, dx\)
 3.31 \(\int \frac{\text{sech}^4(x)}{a+b \cosh ^2(x)} \, dx\)
 3.32 \(\int \frac{\text{sech}^5(x)}{a+b \cosh ^2(x)} \, dx\)
 3.33 \(\int \frac{1}{(a+b \cosh ^2(x))^2} \, dx\)
 3.34 \(\int \frac{1}{(a+b \cosh ^2(x))^3} \, dx\)
 3.35 \(\int \frac{1}{1+\cosh ^2(x)} \, dx\)
 3.36 \(\int \frac{1}{(1+\cosh ^2(x))^2} \, dx\)
 3.37 \(\int \frac{1}{(1+\cosh ^2(x))^3} \, dx\)
 3.38 \(\int \frac{1}{1-\cosh ^2(x)} \, dx\)
 3.39 \(\int \frac{1}{(1-\cosh ^2(x))^2} \, dx\)
 3.40 \(\int \frac{1}{(1-\cosh ^2(x))^3} \, dx\)
 3.41 \(\int \sqrt{a+b \cosh ^2(x)} \, dx\)
 3.42 \(\int \sqrt{1+\cosh ^2(x)} \, dx\)
 3.43 \(\int \sqrt{1-\cosh ^2(x)} \, dx\)
 3.44 \(\int \sqrt{-1+\cosh ^2(x)} \, dx\)
 3.45 \(\int \sqrt{-1-\cosh ^2(x)} \, dx\)
 3.46 \(\int (a+b \cosh ^2(x))^{3/2} \, dx\)
 3.47 \(\int (1+\cosh ^2(x))^{3/2} \, dx\)
 3.48 \(\int (1-\cosh ^2(x))^{3/2} \, dx\)
 3.49 \(\int (-1+\cosh ^2(x))^{3/2} \, dx\)
 3.50 \(\int (-1-\cosh ^2(x))^{3/2} \, dx\)
 3.51 \(\int \frac{1}{\sqrt{a+b \cosh ^2(x)}} \, dx\)
 3.52 \(\int \frac{1}{\sqrt{1+\cosh ^2(x)}} \, dx\)
 3.53 \(\int \frac{1}{\sqrt{1-\cosh ^2(x)}} \, dx\)
 3.54 \(\int \frac{1}{\sqrt{-1+\cosh ^2(x)}} \, dx\)
 3.55 \(\int \frac{1}{\sqrt{-1-\cosh ^2(x)}} \, dx\)
 3.56 \(\int \frac{1}{a+b \cosh ^3(x)} \, dx\)
 3.57 \(\int \frac{1}{a-b \cosh ^3(x)} \, dx\)
 3.58 \(\int \frac{1}{1+\cosh ^3(x)} \, dx\)
 3.59 \(\int \frac{1}{1-\cosh ^3(x)} \, dx\)
 3.60 \(\int \frac{1}{a+b \cosh ^4(x)} \, dx\)
 3.61 \(\int \frac{1}{a-b \cosh ^4(x)} \, dx\)
 3.62 \(\int \frac{1}{1+\cosh ^4(x)} \, dx\)
 3.63 \(\int \frac{1}{1-\cosh ^4(x)} \, dx\)
 3.64 \(\int \frac{1}{a+b \cosh ^5(x)} \, dx\)
 3.65 \(\int \frac{1}{a+b \cosh ^6(x)} \, dx\)
 3.66 \(\int \frac{1}{a+b \cosh ^8(x)} \, dx\)
 3.67 \(\int \frac{1}{a-b \cosh ^5(x)} \, dx\)
 3.68 \(\int \frac{1}{a-b \cosh ^6(x)} \, dx\)
 3.69 \(\int \frac{1}{a-b \cosh ^8(x)} \, dx\)
 3.70 \(\int \frac{1}{1+\cosh ^5(x)} \, dx\)
 3.71 \(\int \frac{1}{1+\cosh ^6(x)} \, dx\)
 3.72 \(\int \frac{1}{1+\cosh ^8(x)} \, dx\)
 3.73 \(\int \frac{1}{1-\cosh ^5(x)} \, dx\)
 3.74 \(\int \frac{1}{1-\cosh ^6(x)} \, dx\)
 3.75 \(\int \frac{1}{1-\cosh ^8(x)} \, dx\)
 3.76 \(\int \frac{\tanh (x)}{1+\cosh ^2(x)} \, dx\)
 3.77 \(\int \sqrt{a+b \cosh ^2(x)} \tanh (x) \, dx\)
 3.78 \(\int \frac{\tanh (x)}{\sqrt{a+b \cosh ^2(x)}} \, dx\)
 3.79 \(\int \frac{\tanh (x)}{\sqrt{1+\cosh ^2(x)}} \, dx\)
 3.80 \(\int \frac{\tanh (x)}{\sqrt{1-\cosh ^2(x)}} \, dx\)
 3.81 \(\int \frac{\tanh ^3(x)}{a+b \cosh ^3(x)} \, dx\)
 3.82 \(\int \frac{\tanh (x)}{\sqrt{a+b \cosh ^3(x)}} \, dx\)
 3.83 \(\int \sqrt{a+b \cosh ^3(x)} \tanh (x) \, dx\)
 3.84 \(\int \frac{\tanh (x)}{\sqrt{a+b \cosh ^n(x)}} \, dx\)
 3.85 \(\int \sqrt{a+b \cosh ^n(x)} \tanh (x) \, dx\)