3.2.1 \(\int \genfrac {}{}{}{}{\coth ^{-1}(a+b x)}{\genfrac {}{}{}{}{a d}{b}+d x} \, dx\) [101]
3.2.2 \(\int (e+f x)^3 (a+b \coth ^{-1}(c+d x)) \, dx\) [102]
3.2.3 \(\int (e+f x)^2 (a+b \coth ^{-1}(c+d x)) \, dx\) [103]
3.2.4 \(\int (e+f x) (a+b \coth ^{-1}(c+d x)) \, dx\) [104]
3.2.5 \(\int (a+b \coth ^{-1}(c+d x)) \, dx\) [105]
3.2.6 \(\int \genfrac {}{}{}{}{a+b \coth ^{-1}(c+d x)}{e+f x} \, dx\) [106]
3.2.7 \(\int \genfrac {}{}{}{}{a+b \coth ^{-1}(c+d x)}{(e+f x)^2} \, dx\) [107]
3.2.8 \(\int \genfrac {}{}{}{}{a+b \coth ^{-1}(c+d x)}{(e+f x)^3} \, dx\) [108]
3.2.9 \(\int (e+f x)^2 (a+b \coth ^{-1}(c+d x))^2 \, dx\) [109]
3.2.10 \(\int (e+f x) (a+b \coth ^{-1}(c+d x))^2 \, dx\) [110]
3.2.11 \(\int (a+b \coth ^{-1}(c+d x))^2 \, dx\) [111]
3.2.12 \(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(c+d x))^2}{e+f x} \, dx\) [112]
3.2.13 \(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(c+d x))^2}{(e+f x)^2} \, dx\) [113]
3.2.14 \(\int (e+f x)^2 (a+b \coth ^{-1}(c+d x))^3 \, dx\) [114]
3.2.15 \(\int (e+f x) (a+b \coth ^{-1}(c+d x))^3 \, dx\) [115]
3.2.16 \(\int (a+b \coth ^{-1}(c+d x))^3 \, dx\) [116]
3.2.17 \(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(c+d x))^3}{e+f x} \, dx\) [117]
3.2.18 \(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(c+d x))^3}{(e+f x)^2} \, dx\) [118]
3.2.19 \(\int (e+f x)^m (a+b \coth ^{-1}(c+d x)) \, dx\) [119]
3.2.20 \(\int (e+f x)^m (a+b \coth ^{-1}(c+d x))^2 \, dx\) [120]
3.2.21 \(\int (e+f x)^m (a+b \coth ^{-1}(c+d x))^3 \, dx\) [121]
3.2.22 \(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^n}{1-c^2 x^2} \, dx\) [122]
3.2.23 \(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^3}{1-c^2 x^2} \, dx\) [123]
3.2.24 \(\int \genfrac {}{}{}{}{(a+b \coth ^{-1}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2}{1-c^2 x^2} \, dx\) [124]
3.2.25 \(\int \genfrac {}{}{}{}{a+b \coth ^{-1}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}})}{1-c^2 x^2} \, dx\) [125]
3.2.26 \(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \coth ^{-1}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))} \, dx\) [126]
3.2.27 \(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \coth ^{-1}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2} \, dx\) [127]
3.2.28 \(\int x^m \coth ^{-1}(\tanh (a+b x)) \, dx\) [128]
3.2.29 \(\int x^2 \coth ^{-1}(\tanh (a+b x)) \, dx\) [129]
3.2.30 \(\int x \coth ^{-1}(\tanh (a+b x)) \, dx\) [130]
3.2.31 \(\int \coth ^{-1}(\tanh (a+b x)) \, dx\) [131]
3.2.32 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))}{x} \, dx\) [132]
3.2.33 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))}{x^2} \, dx\) [133]
3.2.34 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))}{x^3} \, dx\) [134]
3.2.35 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))}{x^4} \, dx\) [135]
3.2.36 \(\int x^m \coth ^{-1}(\tanh (a+b x))^2 \, dx\) [136]
3.2.37 \(\int x^3 \coth ^{-1}(\tanh (a+b x))^2 \, dx\) [137]
3.2.38 \(\int x^2 \coth ^{-1}(\tanh (a+b x))^2 \, dx\) [138]
3.2.39 \(\int x \coth ^{-1}(\tanh (a+b x))^2 \, dx\) [139]
3.2.40 \(\int \coth ^{-1}(\tanh (a+b x))^2 \, dx\) [140]
3.2.41 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^2}{x} \, dx\) [141]
3.2.42 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^2}{x^2} \, dx\) [142]
3.2.43 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^2}{x^3} \, dx\) [143]
3.2.44 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^2}{x^4} \, dx\) [144]
3.2.45 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^2}{x^5} \, dx\) [145]
3.2.46 \(\int x^m \coth ^{-1}(\tanh (a+b x))^3 \, dx\) [146]
3.2.47 \(\int x^4 \coth ^{-1}(\tanh (a+b x))^3 \, dx\) [147]
3.2.48 \(\int x^3 \coth ^{-1}(\tanh (a+b x))^3 \, dx\) [148]
3.2.49 \(\int x^2 \coth ^{-1}(\tanh (a+b x))^3 \, dx\) [149]
3.2.50 \(\int x \coth ^{-1}(\tanh (a+b x))^3 \, dx\) [150]
3.2.51 \(\int \coth ^{-1}(\tanh (a+b x))^3 \, dx\) [151]
3.2.52 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^3}{x} \, dx\) [152]
3.2.53 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^3}{x^2} \, dx\) [153]
3.2.54 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^3}{x^3} \, dx\) [154]
3.2.55 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^3}{x^4} \, dx\) [155]
3.2.56 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^3}{x^5} \, dx\) [156]
3.2.57 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^3}{x^6} \, dx\) [157]
3.2.58 \(\int \genfrac {}{}{}{}{x^m}{\coth ^{-1}(\tanh (a+b x))} \, dx\) [158]
3.2.59 \(\int \genfrac {}{}{}{}{x^3}{\coth ^{-1}(\tanh (a+b x))} \, dx\) [159]
3.2.60 \(\int \genfrac {}{}{}{}{x^2}{\coth ^{-1}(\tanh (a+b x))} \, dx\) [160]
3.2.61 \(\int \genfrac {}{}{}{}{x}{\coth ^{-1}(\tanh (a+b x))} \, dx\) [161]
3.2.62 \(\int \genfrac {}{}{}{}{1}{\coth ^{-1}(\tanh (a+b x))} \, dx\) [162]
3.2.63 \(\int \genfrac {}{}{}{}{1}{x \coth ^{-1}(\tanh (a+b x))} \, dx\) [163]
3.2.64 \(\int \genfrac {}{}{}{}{1}{x^2 \coth ^{-1}(\tanh (a+b x))} \, dx\) [164]
3.2.65 \(\int \genfrac {}{}{}{}{1}{x^3 \coth ^{-1}(\tanh (a+b x))} \, dx\) [165]
3.2.66 \(\int \genfrac {}{}{}{}{x^m}{\coth ^{-1}(\tanh (a+b x))^2} \, dx\) [166]
3.2.67 \(\int \genfrac {}{}{}{}{x^4}{\coth ^{-1}(\tanh (a+b x))^2} \, dx\) [167]
3.2.68 \(\int \genfrac {}{}{}{}{x^3}{\coth ^{-1}(\tanh (a+b x))^2} \, dx\) [168]
3.2.69 \(\int \genfrac {}{}{}{}{x^2}{\coth ^{-1}(\tanh (a+b x))^2} \, dx\) [169]
3.2.70 \(\int \genfrac {}{}{}{}{x}{\coth ^{-1}(\tanh (a+b x))^2} \, dx\) [170]
3.2.71 \(\int \genfrac {}{}{}{}{1}{\coth ^{-1}(\tanh (a+b x))^2} \, dx\) [171]
3.2.72 \(\int \genfrac {}{}{}{}{1}{x \coth ^{-1}(\tanh (a+b x))^2} \, dx\) [172]
3.2.73 \(\int \genfrac {}{}{}{}{1}{x^2 \coth ^{-1}(\tanh (a+b x))^2} \, dx\) [173]
3.2.74 \(\int \genfrac {}{}{}{}{1}{x^3 \coth ^{-1}(\tanh (a+b x))^2} \, dx\) [174]
3.2.75 \(\int \genfrac {}{}{}{}{x^m}{\coth ^{-1}(\tanh (a+b x))^3} \, dx\) [175]
3.2.76 \(\int \genfrac {}{}{}{}{x^4}{\coth ^{-1}(\tanh (a+b x))^3} \, dx\) [176]
3.2.77 \(\int \genfrac {}{}{}{}{x^3}{\coth ^{-1}(\tanh (a+b x))^3} \, dx\) [177]
3.2.78 \(\int \genfrac {}{}{}{}{x^2}{\coth ^{-1}(\tanh (a+b x))^3} \, dx\) [178]
3.2.79 \(\int \genfrac {}{}{}{}{x}{\coth ^{-1}(\tanh (a+b x))^3} \, dx\) [179]
3.2.80 \(\int \genfrac {}{}{}{}{1}{\coth ^{-1}(\tanh (a+b x))^3} \, dx\) [180]
3.2.81 \(\int \genfrac {}{}{}{}{1}{x \coth ^{-1}(\tanh (a+b x))^3} \, dx\) [181]
3.2.82 \(\int \genfrac {}{}{}{}{1}{x^2 \coth ^{-1}(\tanh (a+b x))^3} \, dx\) [182]
3.2.83 \(\int \genfrac {}{}{}{}{1}{x^3 \coth ^{-1}(\tanh (a+b x))^3} \, dx\) [183]
3.2.84 \(\int x^m \coth ^{-1}(\tanh (a+b x))^n \, dx\) [184]
3.2.85 \(\int x^4 \coth ^{-1}(\tanh (a+b x))^n \, dx\) [185]
3.2.86 \(\int x^3 \coth ^{-1}(\tanh (a+b x))^n \, dx\) [186]
3.2.87 \(\int x^2 \coth ^{-1}(\tanh (a+b x))^n \, dx\) [187]
3.2.88 \(\int x \coth ^{-1}(\tanh (a+b x))^n \, dx\) [188]
3.2.89 \(\int \coth ^{-1}(\tanh (a+b x))^n \, dx\) [189]
3.2.90 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^n}{x} \, dx\) [190]
3.2.91 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^n}{x^2} \, dx\) [191]
3.2.92 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\tanh (a+b x))^n}{x^3} \, dx\) [192]
3.2.93 \(\int x^m \coth ^{-1}(\tanh (a+b x)) \, dx\) [193]
3.2.94 \(\int x^2 \coth ^{-1}(\coth (a+b x)) \, dx\) [194]
3.2.95 \(\int x \coth ^{-1}(\coth (a+b x)) \, dx\) [195]
3.2.96 \(\int \coth ^{-1}(\coth (a+b x)) \, dx\) [196]
3.2.97 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\coth (a+b x))}{x} \, dx\) [197]
3.2.98 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\coth (a+b x))}{x^2} \, dx\) [198]
3.2.99 \(\int \genfrac {}{}{}{}{\coth ^{-1}(\coth (a+b x))}{x^3} \, dx\) [199]
3.2.100 \(\int \coth ^{-1}(\cosh (x)) \, dx\) [200]