3.2 Integrals 101 to 200

   \(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)}{\genfrac {}{}{}{}{a d}{b}+d x} \, dx\) [101]
   \(\int (e+f x)^3 (a+b \coth ^{-1}(c+d x)) \, dx\) [102]
   \(\int (e+f x)^2 (a+b \coth ^{-1}(c+d x)) \, dx\) [103]
   \(\int (e+f x) (a+b \coth ^{-1}(c+d x)) \, dx\) [104]
   \(\int (a+b \coth ^{-1}(c+d x)) \, dx\) [105]
   \(\int \genfrac {}{}{}{}{a+b \coth ^{-1}(c+d x)}{e+f x} \, dx\) [106]
   \(\int \genfrac {}{}{}{}{a+b \coth ^{-1}(c+d x)}{(e+f x)^2} \, dx\) [107]
   \(\int \genfrac {}{}{}{}{a+b \coth ^{-1}(c+d x)}{(e+f x)^3} \, dx\) [108]
   \(\int (e+f x)^2 (a+b \coth ^{-1}(c+d x))^2 \, dx\) [109]
   \(\int (e+f x) (a+b \coth ^{-1}(c+d x))^2 \, dx\) [110]
   \(\int (a+b \coth ^{-1}(c+d x))^2 \, dx\) [111]
   \(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(c+d x))^2}{e+f x} \, dx\) [112]
   \(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(c+d x))^2}{(e+f x)^2} \, dx\) [113]
   \(\int (e+f x)^2 (a+b \coth ^{-1}(c+d x))^3 \, dx\) [114]
   \(\int (e+f x) (a+b \coth ^{-1}(c+d x))^3 \, dx\) [115]
   \(\int (a+b \coth ^{-1}(c+d x))^3 \, dx\) [116]
   \(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(c+d x))^3}{e+f x} \, dx\) [117]
   \(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(c+d x))^3}{(e+f x)^2} \, dx\) [118]
   \(\int (e+f x)^m (a+b \coth ^{-1}(c+d x)) \, dx\) [119]
   \(\int (e+f x)^m (a+b \coth ^{-1}(c+d x))^2 \, dx\) [120]
   \(\int (e+f x)^m (a+b \coth ^{-1}(c+d x))^3 \, dx\) [121]
   \(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^n}{1-c^2 x^2} \, dx\) [122]
   \(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^3}{1-c^2 x^2} \, dx\) [123]
   \(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2}{1-c^2 x^2} \, dx\) [124]
   \(\int \genfrac {}{}{}{}{a+b \coth ^{-1}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}})}{1-c^2 x^2} \, dx\) [125]
   \(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \coth ^{-1}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))} \, dx\) [126]
   \(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \coth ^{-1}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2} \, dx\) [127]
   \(\int x^m \coth ^{-1}(\tanh (a+b x)) \, dx\) [128]
   \(\int x^2 \coth ^{-1}(\tanh (a+b x)) \, dx\) [129]
   \(\int x \coth ^{-1}(\tanh (a+b x)) \, dx\) [130]
   \(\int \coth ^{-1}(\tanh (a+b x)) \, dx\) [131]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))}{x} \, dx\) [132]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))}{x^2} \, dx\) [133]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))}{x^3} \, dx\) [134]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))}{x^4} \, dx\) [135]
   \(\int x^m \coth ^{-1}(\tanh (a+b x))^2 \, dx\) [136]
   \(\int x^3 \coth ^{-1}(\tanh (a+b x))^2 \, dx\) [137]
   \(\int x^2 \coth ^{-1}(\tanh (a+b x))^2 \, dx\) [138]
   \(\int x \coth ^{-1}(\tanh (a+b x))^2 \, dx\) [139]
   \(\int \coth ^{-1}(\tanh (a+b x))^2 \, dx\) [140]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^2}{x} \, dx\) [141]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^2}{x^2} \, dx\) [142]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^2}{x^3} \, dx\) [143]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^2}{x^4} \, dx\) [144]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^2}{x^5} \, dx\) [145]
   \(\int x^m \coth ^{-1}(\tanh (a+b x))^3 \, dx\) [146]
   \(\int x^4 \coth ^{-1}(\tanh (a+b x))^3 \, dx\) [147]
   \(\int x^3 \coth ^{-1}(\tanh (a+b x))^3 \, dx\) [148]
   \(\int x^2 \coth ^{-1}(\tanh (a+b x))^3 \, dx\) [149]
   \(\int x \coth ^{-1}(\tanh (a+b x))^3 \, dx\) [150]
   \(\int \coth ^{-1}(\tanh (a+b x))^3 \, dx\) [151]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^3}{x} \, dx\) [152]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^3}{x^2} \, dx\) [153]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^3}{x^3} \, dx\) [154]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^3}{x^4} \, dx\) [155]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^3}{x^5} \, dx\) [156]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^3}{x^6} \, dx\) [157]
   \(\int \genfrac {}{}{}{}{x^m}{\coth ^{-1}(\tanh (a+b x))} \, dx\) [158]
   \(\int \genfrac {}{}{}{}{x^3}{\coth ^{-1}(\tanh (a+b x))} \, dx\) [159]
   \(\int \genfrac {}{}{}{}{x^2}{\coth ^{-1}(\tanh (a+b x))} \, dx\) [160]
   \(\int \genfrac {}{}{}{}{x}{\coth ^{-1}(\tanh (a+b x))} \, dx\) [161]
   \(\int \genfrac {}{}{}{}{1}{\coth ^{-1}(\tanh (a+b x))} \, dx\) [162]
   \(\int \genfrac {}{}{}{}{1}{x \coth ^{-1}(\tanh (a+b x))} \, dx\) [163]
   \(\int \genfrac {}{}{}{}{1}{x^2 \coth ^{-1}(\tanh (a+b x))} \, dx\) [164]
   \(\int \genfrac {}{}{}{}{1}{x^3 \coth ^{-1}(\tanh (a+b x))} \, dx\) [165]
   \(\int \genfrac {}{}{}{}{x^m}{\coth ^{-1}(\tanh (a+b x))^2} \, dx\) [166]
   \(\int \genfrac {}{}{}{}{x^4}{\coth ^{-1}(\tanh (a+b x))^2} \, dx\) [167]
   \(\int \genfrac {}{}{}{}{x^3}{\coth ^{-1}(\tanh (a+b x))^2} \, dx\) [168]
   \(\int \genfrac {}{}{}{}{x^2}{\coth ^{-1}(\tanh (a+b x))^2} \, dx\) [169]
   \(\int \genfrac {}{}{}{}{x}{\coth ^{-1}(\tanh (a+b x))^2} \, dx\) [170]
   \(\int \genfrac {}{}{}{}{1}{\coth ^{-1}(\tanh (a+b x))^2} \, dx\) [171]
   \(\int \genfrac {}{}{}{}{1}{x \coth ^{-1}(\tanh (a+b x))^2} \, dx\) [172]
   \(\int \genfrac {}{}{}{}{1}{x^2 \coth ^{-1}(\tanh (a+b x))^2} \, dx\) [173]
   \(\int \genfrac {}{}{}{}{1}{x^3 \coth ^{-1}(\tanh (a+b x))^2} \, dx\) [174]
   \(\int \genfrac {}{}{}{}{x^m}{\coth ^{-1}(\tanh (a+b x))^3} \, dx\) [175]
   \(\int \genfrac {}{}{}{}{x^4}{\coth ^{-1}(\tanh (a+b x))^3} \, dx\) [176]
   \(\int \genfrac {}{}{}{}{x^3}{\coth ^{-1}(\tanh (a+b x))^3} \, dx\) [177]
   \(\int \genfrac {}{}{}{}{x^2}{\coth ^{-1}(\tanh (a+b x))^3} \, dx\) [178]
   \(\int \genfrac {}{}{}{}{x}{\coth ^{-1}(\tanh (a+b x))^3} \, dx\) [179]
   \(\int \genfrac {}{}{}{}{1}{\coth ^{-1}(\tanh (a+b x))^3} \, dx\) [180]
   \(\int \genfrac {}{}{}{}{1}{x \coth ^{-1}(\tanh (a+b x))^3} \, dx\) [181]
   \(\int \genfrac {}{}{}{}{1}{x^2 \coth ^{-1}(\tanh (a+b x))^3} \, dx\) [182]
   \(\int \genfrac {}{}{}{}{1}{x^3 \coth ^{-1}(\tanh (a+b x))^3} \, dx\) [183]
   \(\int x^m \coth ^{-1}(\tanh (a+b x))^n \, dx\) [184]
   \(\int x^4 \coth ^{-1}(\tanh (a+b x))^n \, dx\) [185]
   \(\int x^3 \coth ^{-1}(\tanh (a+b x))^n \, dx\) [186]
   \(\int x^2 \coth ^{-1}(\tanh (a+b x))^n \, dx\) [187]
   \(\int x \coth ^{-1}(\tanh (a+b x))^n \, dx\) [188]
   \(\int \coth ^{-1}(\tanh (a+b x))^n \, dx\) [189]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^n}{x} \, dx\) [190]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^n}{x^2} \, dx\) [191]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^n}{x^3} \, dx\) [192]
   \(\int x^m \coth ^{-1}(\tanh (a+b x)) \, dx\) [193]
   \(\int x^2 \coth ^{-1}(\coth (a+b x)) \, dx\) [194]
   \(\int x \coth ^{-1}(\coth (a+b x)) \, dx\) [195]
   \(\int \coth ^{-1}(\coth (a+b x)) \, dx\) [196]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\coth (a+b x))}{x} \, dx\) [197]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\coth (a+b x))}{x^2} \, dx\) [198]
   \(\int \genfrac {}{}{}{}{\coth ^{-1}(\coth (a+b x))}{x^3} \, dx\) [199]
   \(\int \coth ^{-1}(\cosh (x)) \, dx\) [200]