3.1 Integrals 1 to 42

\(\int \genfrac {}{}{}{}{\sinh ^4(x)}{a-a \cosh ^2(x)} \, dx\) [1]
\(\int \genfrac {}{}{}{}{\sinh ^3(x)}{a-a \cosh ^2(x)} \, dx\) [2]
\(\int \genfrac {}{}{}{}{\sinh ^2(x)}{a-a \cosh ^2(x)} \, dx\) [3]
\(\int \genfrac {}{}{}{}{\text {csch}^2(x)}{a-a \cosh ^2(x)} \, dx\) [4]
\(\int \genfrac {}{}{}{}{\text {csch}^4(x)}{a-a \cosh ^2(x)} \, dx\) [5]
\(\int \genfrac {}{}{}{}{\sinh ^7(x)}{a+b \cosh ^2(x)} \, dx\) [6]
\(\int \genfrac {}{}{}{}{\sinh ^5(x)}{a+b \cosh ^2(x)} \, dx\) [7]
\(\int \genfrac {}{}{}{}{\sinh ^3(x)}{a+b \cosh ^2(x)} \, dx\) [8]
\(\int \genfrac {}{}{}{}{\sinh (x)}{a+b \cosh ^2(x)} \, dx\) [9]
\(\int \genfrac {}{}{}{}{\text {csch}(x)}{a+b \cosh ^2(x)} \, dx\) [10]
\(\int \genfrac {}{}{}{}{\text {csch}^3(x)}{a+b \cosh ^2(x)} \, dx\) [11]
\(\int \genfrac {}{}{}{}{\text {csch}^5(x)}{a+b \cosh ^2(x)} \, dx\) [12]
\(\int \genfrac {}{}{}{}{\sinh ^6(x)}{a+b \cosh ^2(x)} \, dx\) [13]
\(\int \genfrac {}{}{}{}{\sinh ^4(x)}{a+b \cosh ^2(x)} \, dx\) [14]
\(\int \genfrac {}{}{}{}{\sinh ^2(x)}{a+b \cosh ^2(x)} \, dx\) [15]
\(\int \genfrac {}{}{}{}{1}{a+b \cosh ^2(x)} \, dx\) [16]
\(\int \genfrac {}{}{}{}{\text {csch}^4(x)}{a+b \cosh ^2(x)} \, dx\) [17]
\(\int \genfrac {}{}{}{}{\text {csch}^6(x)}{a+b \cosh ^2(x)} \, dx\) [18]
\(\int \genfrac {}{}{}{}{\sinh (x)}{4-3 \cosh ^3(x)} \, dx\) [19]
\(\int \genfrac {}{}{}{}{\cosh ^7(x)}{a+b \cosh ^2(x)} \, dx\) [20]
\(\int \genfrac {}{}{}{}{\cosh ^6(x)}{a+b \cosh ^2(x)} \, dx\) [21]
\(\int \genfrac {}{}{}{}{\cosh ^5(x)}{a+b \cosh ^2(x)} \, dx\) [22]
\(\int \genfrac {}{}{}{}{\cosh ^4(x)}{a+b \cosh ^2(x)} \, dx\) [23]
\(\int \genfrac {}{}{}{}{\cosh ^3(x)}{a+b \cosh ^2(x)} \, dx\) [24]
\(\int \genfrac {}{}{}{}{\cosh ^2(x)}{a+b \cosh ^2(x)} \, dx\) [25]
\(\int \genfrac {}{}{}{}{\cosh (x)}{a+b \cosh ^2(x)} \, dx\) [26]
\(\int \genfrac {}{}{}{}{1}{a+b \cosh ^2(x)} \, dx\) [27]
\(\int \genfrac {}{}{}{}{\text {sech}(x)}{a+b \cosh ^2(x)} \, dx\) [28]
\(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{a+b \cosh ^2(x)} \, dx\) [29]
\(\int \genfrac {}{}{}{}{\text {sech}^3(x)}{a+b \cosh ^2(x)} \, dx\) [30]
\(\int \genfrac {}{}{}{}{\text {sech}^4(x)}{a+b \cosh ^2(x)} \, dx\) [31]
\(\int \genfrac {}{}{}{}{\text {sech}^5(x)}{a+b \cosh ^2(x)} \, dx\) [32]
\(\int \genfrac {}{}{}{}{\tanh (x)}{1+\cosh ^2(x)} \, dx\) [33]
\(\int \sqrt {a+b \cosh ^2(x)} \tanh (x) \, dx\) [34]
\(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {a+b \cosh ^2(x)}} \, dx\) [35]
\(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {1+\cosh ^2(x)}} \, dx\) [36]
\(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {1-\cosh ^2(x)}} \, dx\) [37]
\(\int \genfrac {}{}{}{}{\tanh ^3(x)}{a+b \cosh ^3(x)} \, dx\) [38]
\(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {a+b \cosh ^3(x)}} \, dx\) [39]
\(\int \sqrt {a+b \cosh ^3(x)} \tanh (x) \, dx\) [40]
\(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {a+b \cosh ^n(x)}} \, dx\) [41]
\(\int \sqrt {a+b \cosh ^n(x)} \tanh (x) \, dx\) [42]