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3.3
Integrals 201 to 300
\(\int \genfrac {}{}{}{}{x^{3/2}}{\text {arctanh}(\tanh (a+b x))^2} \, dx\) [201]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\text {arctanh}(\tanh (a+b x))^2} \, dx\) [202]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \text {arctanh}(\tanh (a+b x))^2} \, dx\) [203]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} \text {arctanh}(\tanh (a+b x))^2} \, dx\) [204]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} \text {arctanh}(\tanh (a+b x))^2} \, dx\) [205]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} \text {arctanh}(\tanh (a+b x))^2} \, dx\) [206]
\(\int \genfrac {}{}{}{}{x^{7/2}}{\text {arctanh}(\tanh (a+b x))^3} \, dx\) [207]
\(\int \genfrac {}{}{}{}{x^{5/2}}{\text {arctanh}(\tanh (a+b x))^3} \, dx\) [208]
\(\int \genfrac {}{}{}{}{x^{3/2}}{\text {arctanh}(\tanh (a+b x))^3} \, dx\) [209]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\text {arctanh}(\tanh (a+b x))^3} \, dx\) [210]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \text {arctanh}(\tanh (a+b x))^3} \, dx\) [211]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} \text {arctanh}(\tanh (a+b x))^3} \, dx\) [212]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} \text {arctanh}(\tanh (a+b x))^3} \, dx\) [213]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} \text {arctanh}(\tanh (a+b x))^3} \, dx\) [214]
\(\int x^{3/2} \sqrt {\text {arctanh}(\tanh (a+b x))} \, dx\) [215]
\(\int \sqrt {x} \sqrt {\text {arctanh}(\tanh (a+b x))} \, dx\) [216]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{\sqrt {x}} \, dx\) [217]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{x^{3/2}} \, dx\) [218]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{x^{5/2}} \, dx\) [219]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{x^{7/2}} \, dx\) [220]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{x^{9/2}} \, dx\) [221]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{x^{11/2}} \, dx\) [222]
\(\int x^{3/2} \text {arctanh}(\tanh (a+b x))^{3/2} \, dx\) [223]
\(\int \sqrt {x} \text {arctanh}(\tanh (a+b x))^{3/2} \, dx\) [224]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{\sqrt {x}} \, dx\) [225]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x^{3/2}} \, dx\) [226]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x^{5/2}} \, dx\) [227]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x^{7/2}} \, dx\) [228]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x^{9/2}} \, dx\) [229]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x^{11/2}} \, dx\) [230]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x^{13/2}} \, dx\) [231]
\(\int \sqrt {x} \text {arctanh}(\tanh (a+b x))^{5/2} \, dx\) [232]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{\sqrt {x}} \, dx\) [233]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^{3/2}} \, dx\) [234]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^{5/2}} \, dx\) [235]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^{7/2}} \, dx\) [236]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^{9/2}} \, dx\) [237]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^{11/2}} \, dx\) [238]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^{13/2}} \, dx\) [239]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^{15/2}} \, dx\) [240]
\(\int \genfrac {}{}{}{}{x^{5/2}}{\sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [241]
\(\int \genfrac {}{}{}{}{x^{3/2}}{\sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [242]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [243]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [244]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} \sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [245]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} \sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [246]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} \sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [247]
\(\int \genfrac {}{}{}{}{1}{x^{9/2} \sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [248]
\(\int \genfrac {}{}{}{}{x^{7/2}}{\text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [249]
\(\int \genfrac {}{}{}{}{x^{5/2}}{\text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [250]
\(\int \genfrac {}{}{}{}{x^{3/2}}{\text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [251]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [252]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [253]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} \text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [254]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} \text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [255]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} \text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [256]
\(\int \genfrac {}{}{}{}{x^{7/2}}{\text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [257]
\(\int \genfrac {}{}{}{}{x^{5/2}}{\text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [258]
\(\int \genfrac {}{}{}{}{x^{3/2}}{\text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [259]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [260]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [261]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} \text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [262]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} \text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [263]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} \text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [264]
\(\int x^m \text {arctanh}(\tanh (a+b x))^n \, dx\) [265]
\(\int x^4 \text {arctanh}(\tanh (a+b x))^n \, dx\) [266]
\(\int x^3 \text {arctanh}(\tanh (a+b x))^n \, dx\) [267]
\(\int x^2 \text {arctanh}(\tanh (a+b x))^n \, dx\) [268]
\(\int x \text {arctanh}(\tanh (a+b x))^n \, dx\) [269]
\(\int \text {arctanh}(\tanh (a+b x))^n \, dx\) [270]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^n}{x} \, dx\) [271]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^n}{x^2} \, dx\) [272]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^n}{x^3} \, dx\) [273]
\(\int x^m \coth ^{-1}(\tanh (a+b x)) \, dx\) [274]
\(\int x^2 \text {arctanh}(\coth (a+b x)) \, dx\) [275]
\(\int x \text {arctanh}(\coth (a+b x)) \, dx\) [276]
\(\int \text {arctanh}(\coth (a+b x)) \, dx\) [277]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\coth (a+b x))}{x} \, dx\) [278]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\coth (a+b x))}{x^2} \, dx\) [279]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\coth (a+b x))}{x^3} \, dx\) [280]
\(\int \text {arctanh}(\cosh (x)) \, dx\) [281]
\(\int x \text {arctanh}(\cosh (x)) \, dx\) [282]
\(\int x^2 \text {arctanh}(\cosh (x)) \, dx\) [283]
\(\int x^2 \text {arctanh}(c+d \tanh (a+b x)) \, dx\) [284]
\(\int x \text {arctanh}(c+d \tanh (a+b x)) \, dx\) [285]
\(\int \text {arctanh}(c+d \tanh (a+b x)) \, dx\) [286]
\(\int \genfrac {}{}{}{}{\text {arctanh}(c+d \tanh (a+b x))}{x} \, dx\) [287]
\(\int x^3 \text {arctanh}(1+d+d \tanh (a+b x)) \, dx\) [288]
\(\int x^2 \text {arctanh}(1+d+d \tanh (a+b x)) \, dx\) [289]
\(\int x \text {arctanh}(1+d+d \tanh (a+b x)) \, dx\) [290]
\(\int \text {arctanh}(1+d+d \tanh (a+b x)) \, dx\) [291]
\(\int \genfrac {}{}{}{}{\text {arctanh}(1+d+d \tanh (a+b x))}{x} \, dx\) [292]
\(\int x^3 \text {arctanh}(1-d-d \tanh (a+b x)) \, dx\) [293]
\(\int x^2 \text {arctanh}(1-d-d \tanh (a+b x)) \, dx\) [294]
\(\int x \text {arctanh}(1-d-d \tanh (a+b x)) \, dx\) [295]
\(\int \text {arctanh}(1-d-d \tanh (a+b x)) \, dx\) [296]
\(\int \genfrac {}{}{}{}{\text {arctanh}(1-d-d \tanh (a+b x))}{x} \, dx\) [297]
\(\int x^2 \text {arctanh}(c+d \coth (a+b x)) \, dx\) [298]
\(\int x \text {arctanh}(c+d \coth (a+b x)) \, dx\) [299]
\(\int \text {arctanh}(c+d \coth (a+b x)) \, dx\) [300]
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