3.3.1 \(\int \genfrac {}{}{}{}{x^{3/2}}{\text {arctanh}(\tanh (a+b x))^2} \, dx\) [201]
3.3.2 \(\int \genfrac {}{}{}{}{\sqrt {x}}{\text {arctanh}(\tanh (a+b x))^2} \, dx\) [202]
3.3.3 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} \text {arctanh}(\tanh (a+b x))^2} \, dx\) [203]
3.3.4 \(\int \genfrac {}{}{}{}{1}{x^{3/2} \text {arctanh}(\tanh (a+b x))^2} \, dx\) [204]
3.3.5 \(\int \genfrac {}{}{}{}{1}{x^{5/2} \text {arctanh}(\tanh (a+b x))^2} \, dx\) [205]
3.3.6 \(\int \genfrac {}{}{}{}{1}{x^{7/2} \text {arctanh}(\tanh (a+b x))^2} \, dx\) [206]
3.3.7 \(\int \genfrac {}{}{}{}{x^{7/2}}{\text {arctanh}(\tanh (a+b x))^3} \, dx\) [207]
3.3.8 \(\int \genfrac {}{}{}{}{x^{5/2}}{\text {arctanh}(\tanh (a+b x))^3} \, dx\) [208]
3.3.9 \(\int \genfrac {}{}{}{}{x^{3/2}}{\text {arctanh}(\tanh (a+b x))^3} \, dx\) [209]
3.3.10 \(\int \genfrac {}{}{}{}{\sqrt {x}}{\text {arctanh}(\tanh (a+b x))^3} \, dx\) [210]
3.3.11 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} \text {arctanh}(\tanh (a+b x))^3} \, dx\) [211]
3.3.12 \(\int \genfrac {}{}{}{}{1}{x^{3/2} \text {arctanh}(\tanh (a+b x))^3} \, dx\) [212]
3.3.13 \(\int \genfrac {}{}{}{}{1}{x^{5/2} \text {arctanh}(\tanh (a+b x))^3} \, dx\) [213]
3.3.14 \(\int \genfrac {}{}{}{}{1}{x^{7/2} \text {arctanh}(\tanh (a+b x))^3} \, dx\) [214]
3.3.15 \(\int x^{3/2} \sqrt {\text {arctanh}(\tanh (a+b x))} \, dx\) [215]
3.3.16 \(\int \sqrt {x} \sqrt {\text {arctanh}(\tanh (a+b x))} \, dx\) [216]
3.3.17 \(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{\sqrt {x}} \, dx\) [217]
3.3.18 \(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{x^{3/2}} \, dx\) [218]
3.3.19 \(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{x^{5/2}} \, dx\) [219]
3.3.20 \(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{x^{7/2}} \, dx\) [220]
3.3.21 \(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{x^{9/2}} \, dx\) [221]
3.3.22 \(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{x^{11/2}} \, dx\) [222]
3.3.23 \(\int x^{3/2} \text {arctanh}(\tanh (a+b x))^{3/2} \, dx\) [223]
3.3.24 \(\int \sqrt {x} \text {arctanh}(\tanh (a+b x))^{3/2} \, dx\) [224]
3.3.25 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{\sqrt {x}} \, dx\) [225]
3.3.26 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x^{3/2}} \, dx\) [226]
3.3.27 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x^{5/2}} \, dx\) [227]
3.3.28 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x^{7/2}} \, dx\) [228]
3.3.29 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x^{9/2}} \, dx\) [229]
3.3.30 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x^{11/2}} \, dx\) [230]
3.3.31 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x^{13/2}} \, dx\) [231]
3.3.32 \(\int \sqrt {x} \text {arctanh}(\tanh (a+b x))^{5/2} \, dx\) [232]
3.3.33 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{\sqrt {x}} \, dx\) [233]
3.3.34 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^{3/2}} \, dx\) [234]
3.3.35 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^{5/2}} \, dx\) [235]
3.3.36 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^{7/2}} \, dx\) [236]
3.3.37 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^{9/2}} \, dx\) [237]
3.3.38 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^{11/2}} \, dx\) [238]
3.3.39 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^{13/2}} \, dx\) [239]
3.3.40 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^{15/2}} \, dx\) [240]
3.3.41 \(\int \genfrac {}{}{}{}{x^{5/2}}{\sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [241]
3.3.42 \(\int \genfrac {}{}{}{}{x^{3/2}}{\sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [242]
3.3.43 \(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [243]
3.3.44 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [244]
3.3.45 \(\int \genfrac {}{}{}{}{1}{x^{3/2} \sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [245]
3.3.46 \(\int \genfrac {}{}{}{}{1}{x^{5/2} \sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [246]
3.3.47 \(\int \genfrac {}{}{}{}{1}{x^{7/2} \sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [247]
3.3.48 \(\int \genfrac {}{}{}{}{1}{x^{9/2} \sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [248]
3.3.49 \(\int \genfrac {}{}{}{}{x^{7/2}}{\text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [249]
3.3.50 \(\int \genfrac {}{}{}{}{x^{5/2}}{\text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [250]
3.3.51 \(\int \genfrac {}{}{}{}{x^{3/2}}{\text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [251]
3.3.52 \(\int \genfrac {}{}{}{}{\sqrt {x}}{\text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [252]
3.3.53 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} \text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [253]
3.3.54 \(\int \genfrac {}{}{}{}{1}{x^{3/2} \text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [254]
3.3.55 \(\int \genfrac {}{}{}{}{1}{x^{5/2} \text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [255]
3.3.56 \(\int \genfrac {}{}{}{}{1}{x^{7/2} \text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [256]
3.3.57 \(\int \genfrac {}{}{}{}{x^{7/2}}{\text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [257]
3.3.58 \(\int \genfrac {}{}{}{}{x^{5/2}}{\text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [258]
3.3.59 \(\int \genfrac {}{}{}{}{x^{3/2}}{\text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [259]
3.3.60 \(\int \genfrac {}{}{}{}{\sqrt {x}}{\text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [260]
3.3.61 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} \text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [261]
3.3.62 \(\int \genfrac {}{}{}{}{1}{x^{3/2} \text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [262]
3.3.63 \(\int \genfrac {}{}{}{}{1}{x^{5/2} \text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [263]
3.3.64 \(\int \genfrac {}{}{}{}{1}{x^{7/2} \text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [264]
3.3.65 \(\int x^m \text {arctanh}(\tanh (a+b x))^n \, dx\) [265]
3.3.66 \(\int x^4 \text {arctanh}(\tanh (a+b x))^n \, dx\) [266]
3.3.67 \(\int x^3 \text {arctanh}(\tanh (a+b x))^n \, dx\) [267]
3.3.68 \(\int x^2 \text {arctanh}(\tanh (a+b x))^n \, dx\) [268]
3.3.69 \(\int x \text {arctanh}(\tanh (a+b x))^n \, dx\) [269]
3.3.70 \(\int \text {arctanh}(\tanh (a+b x))^n \, dx\) [270]
3.3.71 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^n}{x} \, dx\) [271]
3.3.72 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^n}{x^2} \, dx\) [272]
3.3.73 \(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^n}{x^3} \, dx\) [273]
3.3.74 \(\int x^m \coth ^{-1}(\tanh (a+b x)) \, dx\) [274]
3.3.75 \(\int x^2 \text {arctanh}(\coth (a+b x)) \, dx\) [275]
3.3.76 \(\int x \text {arctanh}(\coth (a+b x)) \, dx\) [276]
3.3.77 \(\int \text {arctanh}(\coth (a+b x)) \, dx\) [277]
3.3.78 \(\int \genfrac {}{}{}{}{\text {arctanh}(\coth (a+b x))}{x} \, dx\) [278]
3.3.79 \(\int \genfrac {}{}{}{}{\text {arctanh}(\coth (a+b x))}{x^2} \, dx\) [279]
3.3.80 \(\int \genfrac {}{}{}{}{\text {arctanh}(\coth (a+b x))}{x^3} \, dx\) [280]
3.3.81 \(\int \text {arctanh}(\cosh (x)) \, dx\) [281]
3.3.82 \(\int x \text {arctanh}(\cosh (x)) \, dx\) [282]
3.3.83 \(\int x^2 \text {arctanh}(\cosh (x)) \, dx\) [283]
3.3.84 \(\int x^2 \text {arctanh}(c+d \tanh (a+b x)) \, dx\) [284]
3.3.85 \(\int x \text {arctanh}(c+d \tanh (a+b x)) \, dx\) [285]
3.3.86 \(\int \text {arctanh}(c+d \tanh (a+b x)) \, dx\) [286]
3.3.87 \(\int \genfrac {}{}{}{}{\text {arctanh}(c+d \tanh (a+b x))}{x} \, dx\) [287]
3.3.88 \(\int x^3 \text {arctanh}(1+d+d \tanh (a+b x)) \, dx\) [288]
3.3.89 \(\int x^2 \text {arctanh}(1+d+d \tanh (a+b x)) \, dx\) [289]
3.3.90 \(\int x \text {arctanh}(1+d+d \tanh (a+b x)) \, dx\) [290]
3.3.91 \(\int \text {arctanh}(1+d+d \tanh (a+b x)) \, dx\) [291]
3.3.92 \(\int \genfrac {}{}{}{}{\text {arctanh}(1+d+d \tanh (a+b x))}{x} \, dx\) [292]
3.3.93 \(\int x^3 \text {arctanh}(1-d-d \tanh (a+b x)) \, dx\) [293]
3.3.94 \(\int x^2 \text {arctanh}(1-d-d \tanh (a+b x)) \, dx\) [294]
3.3.95 \(\int x \text {arctanh}(1-d-d \tanh (a+b x)) \, dx\) [295]
3.3.96 \(\int \text {arctanh}(1-d-d \tanh (a+b x)) \, dx\) [296]
3.3.97 \(\int \genfrac {}{}{}{}{\text {arctanh}(1-d-d \tanh (a+b x))}{x} \, dx\) [297]
3.3.98 \(\int x^2 \text {arctanh}(c+d \coth (a+b x)) \, dx\) [298]
3.3.99 \(\int x \text {arctanh}(c+d \coth (a+b x)) \, dx\) [299]
3.3.100 \(\int \text {arctanh}(c+d \coth (a+b x)) \, dx\) [300]