3.2 Integrals 101 to 175

\(\int \genfrac {}{}{}{}{\text {sech}^5(x)}{a+b \text {csch}(x)} \, dx\) [101]
\(\int \genfrac {}{}{}{}{\tanh ^5(x)}{i+\text {csch}(x)} \, dx\) [102]
\(\int \genfrac {}{}{}{}{\tanh ^4(x)}{i+\text {csch}(x)} \, dx\) [103]
\(\int \genfrac {}{}{}{}{\tanh ^3(x)}{i+\text {csch}(x)} \, dx\) [104]
\(\int \genfrac {}{}{}{}{\tanh ^2(x)}{i+\text {csch}(x)} \, dx\) [105]
\(\int \genfrac {}{}{}{}{\tanh (x)}{i+\text {csch}(x)} \, dx\) [106]
\(\int \genfrac {}{}{}{}{\coth (x)}{i+\text {csch}(x)} \, dx\) [107]
\(\int \genfrac {}{}{}{}{\coth ^2(x)}{i+\text {csch}(x)} \, dx\) [108]
\(\int \genfrac {}{}{}{}{\coth ^3(x)}{i+\text {csch}(x)} \, dx\) [109]
\(\int \genfrac {}{}{}{}{\coth ^4(x)}{i+\text {csch}(x)} \, dx\) [110]
\(\int \genfrac {}{}{}{}{\coth ^5(x)}{i+\text {csch}(x)} \, dx\) [111]
\(\int \genfrac {}{}{}{}{\coth ^6(x)}{i+\text {csch}(x)} \, dx\) [112]
\(\int \genfrac {}{}{}{}{\tanh ^5(x)}{a+b \text {csch}(x)} \, dx\) [113]
\(\int \genfrac {}{}{}{}{\tanh ^4(x)}{a+b \text {csch}(x)} \, dx\) [114]
\(\int \genfrac {}{}{}{}{\tanh ^3(x)}{a+b \text {csch}(x)} \, dx\) [115]
\(\int \genfrac {}{}{}{}{\tanh ^2(x)}{a+b \text {csch}(x)} \, dx\) [116]
\(\int \genfrac {}{}{}{}{\tanh (x)}{a+b \text {csch}(x)} \, dx\) [117]
\(\int \genfrac {}{}{}{}{\coth (x)}{a+b \text {csch}(x)} \, dx\) [118]
\(\int \genfrac {}{}{}{}{\coth ^2(x)}{a+b \text {csch}(x)} \, dx\) [119]
\(\int \genfrac {}{}{}{}{\coth ^3(x)}{a+b \text {csch}(x)} \, dx\) [120]
\(\int \genfrac {}{}{}{}{\coth ^4(x)}{a+b \text {csch}(x)} \, dx\) [121]
\(\int \genfrac {}{}{}{}{\coth ^5(x)}{a+b \text {csch}(x)} \, dx\) [122]
\(\int \genfrac {}{}{}{}{\coth ^6(x)}{a+b \text {csch}(x)} \, dx\) [123]
\(\int \genfrac {}{}{}{}{\coth ^7(x)}{a+b \text {csch}(x)} \, dx\) [124]
\(\int e^{c (a+b x)} \text {csch}^2(a c+b c x)^{7/2} \, dx\) [125]
\(\int e^{c (a+b x)} \text {csch}^2(a c+b c x)^{5/2} \, dx\) [126]
\(\int e^{c (a+b x)} \text {csch}^2(a c+b c x)^{3/2} \, dx\) [127]
\(\int e^{c (a+b x)} \sqrt {\text {csch}^2(a c+b c x)} \, dx\) [128]
\(\int \genfrac {}{}{}{}{e^{c (a+b x)}}{\sqrt {\text {csch}^2(a c+b c x)}} \, dx\) [129]
\(\int \genfrac {}{}{}{}{e^{c (a+b x)}}{\text {csch}^2(a c+b c x)^{3/2}} \, dx\) [130]
\(\int \genfrac {}{}{}{}{e^{c (a+b x)}}{\text {csch}^2(a c+b c x)^{5/2}} \, dx\) [131]
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {\text {csch}(2 \log (c x))}} \, dx\) [132]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {\text {csch}(2 \log (c x))}} \, dx\) [133]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {\text {csch}(2 \log (c x))}} \, dx\) [134]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {\text {csch}(2 \log (c x))}} \, dx\) [135]
\(\int \genfrac {}{}{}{}{x}{\sqrt {\text {csch}(2 \log (c x))}} \, dx\) [136]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\text {csch}(2 \log (c x))}} \, dx\) [137]
\(\int \genfrac {}{}{}{}{\sqrt {\text {csch}(2 \log (c x))}}{x} \, dx\) [138]
\(\int \genfrac {}{}{}{}{\sqrt {\text {csch}(2 \log (c x))}}{x^2} \, dx\) [139]
\(\int \genfrac {}{}{}{}{\sqrt {\text {csch}(2 \log (c x))}}{x^3} \, dx\) [140]
\(\int \genfrac {}{}{}{}{\sqrt {\text {csch}(2 \log (c x))}}{x^4} \, dx\) [141]
\(\int \genfrac {}{}{}{}{\sqrt {\text {csch}(2 \log (c x))}}{x^5} \, dx\) [142]
\(\int \genfrac {}{}{}{}{x^8}{\text {csch}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [143]
\(\int \genfrac {}{}{}{}{x^7}{\text {csch}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [144]
\(\int \genfrac {}{}{}{}{x^6}{\text {csch}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [145]
\(\int \genfrac {}{}{}{}{x^5}{\text {csch}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [146]
\(\int \genfrac {}{}{}{}{x^4}{\text {csch}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [147]
\(\int \genfrac {}{}{}{}{x^3}{\text {csch}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [148]
\(\int \genfrac {}{}{}{}{x^2}{\text {csch}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [149]
\(\int \genfrac {}{}{}{}{x}{\text {csch}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [150]
\(\int \genfrac {}{}{}{}{1}{\text {csch}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [151]
\(\int \genfrac {}{}{}{}{\text {csch}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))}{x} \, dx\) [152]
\(\int \genfrac {}{}{}{}{\text {csch}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))}{x^2} \, dx\) [153]
\(\int \genfrac {}{}{}{}{\text {csch}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))}{x^3} \, dx\) [154]
\(\int \genfrac {}{}{}{}{\text {csch}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))}{x^4} \, dx\) [155]
\(\int \text {csch}(a+b \log (c x^n)) \, dx\) [156]
\(\int \text {csch}^2(a+b \log (c x^n)) \, dx\) [157]
\(\int \text {csch}^3(a+b \log (c x^n)) \, dx\) [158]
\(\int \text {csch}^4(a+b \log (c x^n)) \, dx\) [159]
\(\int (-((1-b^2 n^2) \text {csch}(a+b \log (c x^n)))+2 b^2 n^2 \text {csch}^3(a+b \log (c x^n))) \, dx\) [160]
\(\int \text {csch}^3(a+2 \log (c \sqrt {x})) \, dx\) [161]
\(\int \text {csch}^3(a+2 \log (\genfrac {}{}{}{}{c}{\sqrt {x}})) \, dx\) [162]
\(\int \text {csch}^p(a+\genfrac {}{}{}{}{\log (c x^n)}{n (-2+p)}) \, dx\) [163]
\(\int \text {csch}^p(a-\genfrac {}{}{}{}{\log (c x^n)}{n (-2+p)}) \, dx\) [164]
\(\int \genfrac {}{}{}{}{\text {csch}(a+b \log (c x^n))}{x} \, dx\) [165]
\(\int \genfrac {}{}{}{}{\text {csch}^2(a+b \log (c x^n))}{x} \, dx\) [166]
\(\int \genfrac {}{}{}{}{\text {csch}^3(a+b \log (c x^n))}{x} \, dx\) [167]
\(\int \genfrac {}{}{}{}{\text {csch}^4(a+b \log (c x^n))}{x} \, dx\) [168]
\(\int \genfrac {}{}{}{}{\text {csch}^5(a+b \log (c x^n))}{x} \, dx\) [169]
\(\int \genfrac {}{}{}{}{\text {csch}^{\genfrac {}{}{}{}{5}{2}}(a+b \log (c x^n))}{x} \, dx\) [170]
\(\int \genfrac {}{}{}{}{\text {csch}^{\genfrac {}{}{}{}{3}{2}}(a+b \log (c x^n))}{x} \, dx\) [171]
\(\int \genfrac {}{}{}{}{\sqrt {\text {csch}(a+b \log (c x^n))}}{x} \, dx\) [172]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {\text {csch}(a+b \log (c x^n))}} \, dx\) [173]
\(\int \genfrac {}{}{}{}{1}{x \text {csch}^{\genfrac {}{}{}{}{3}{2}}(a+b \log (c x^n))} \, dx\) [174]
\(\int \genfrac {}{}{}{}{1}{x \text {csch}^{\genfrac {}{}{}{}{5}{2}}(a+b \log (c x^n))} \, dx\) [175]