3.2 Integrals 101 to 200

\(\int \genfrac {}{}{}{}{1}{x^3 \text {arctanh}(\tanh (a+b x))^2} \, dx\) [101]
\(\int \genfrac {}{}{}{}{x^m}{\text {arctanh}(\tanh (a+b x))^3} \, dx\) [102]
\(\int \genfrac {}{}{}{}{x^4}{\text {arctanh}(\tanh (a+b x))^3} \, dx\) [103]
\(\int \genfrac {}{}{}{}{x^3}{\text {arctanh}(\tanh (a+b x))^3} \, dx\) [104]
\(\int \genfrac {}{}{}{}{x^2}{\text {arctanh}(\tanh (a+b x))^3} \, dx\) [105]
\(\int \genfrac {}{}{}{}{x}{\text {arctanh}(\tanh (a+b x))^3} \, dx\) [106]
\(\int \genfrac {}{}{}{}{1}{\text {arctanh}(\tanh (a+b x))^3} \, dx\) [107]
\(\int \genfrac {}{}{}{}{1}{x \text {arctanh}(\tanh (a+b x))^3} \, dx\) [108]
\(\int \genfrac {}{}{}{}{1}{x^2 \text {arctanh}(\tanh (a+b x))^3} \, dx\) [109]
\(\int \genfrac {}{}{}{}{1}{x^3 \text {arctanh}(\tanh (a+b x))^3} \, dx\) [110]
\(\int x^4 \sqrt {\text {arctanh}(\tanh (a+b x))} \, dx\) [111]
\(\int x^3 \sqrt {\text {arctanh}(\tanh (a+b x))} \, dx\) [112]
\(\int x^2 \sqrt {\text {arctanh}(\tanh (a+b x))} \, dx\) [113]
\(\int x \sqrt {\text {arctanh}(\tanh (a+b x))} \, dx\) [114]
\(\int \sqrt {\text {arctanh}(\tanh (a+b x))} \, dx\) [115]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{x} \, dx\) [116]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{x^2} \, dx\) [117]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{x^3} \, dx\) [118]
\(\int \genfrac {}{}{}{}{\sqrt {\text {arctanh}(\tanh (a+b x))}}{x^4} \, dx\) [119]
\(\int x^4 \text {arctanh}(\tanh (a+b x))^{3/2} \, dx\) [120]
\(\int x^3 \text {arctanh}(\tanh (a+b x))^{3/2} \, dx\) [121]
\(\int x^2 \text {arctanh}(\tanh (a+b x))^{3/2} \, dx\) [122]
\(\int x \text {arctanh}(\tanh (a+b x))^{3/2} \, dx\) [123]
\(\int \text {arctanh}(\tanh (a+b x))^{3/2} \, dx\) [124]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x} \, dx\) [125]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x^2} \, dx\) [126]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x^3} \, dx\) [127]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{3/2}}{x^4} \, dx\) [128]
\(\int x^4 \text {arctanh}(\tanh (a+b x))^{5/2} \, dx\) [129]
\(\int x^3 \text {arctanh}(\tanh (a+b x))^{5/2} \, dx\) [130]
\(\int x^2 \text {arctanh}(\tanh (a+b x))^{5/2} \, dx\) [131]
\(\int x \text {arctanh}(\tanh (a+b x))^{5/2} \, dx\) [132]
\(\int \text {arctanh}(\tanh (a+b x))^{5/2} \, dx\) [133]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x} \, dx\) [134]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^2} \, dx\) [135]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^3} \, dx\) [136]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^4} \, dx\) [137]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^5} \, dx\) [138]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^{5/2}}{x^6} \, dx\) [139]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [140]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [141]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [142]
\(\int \genfrac {}{}{}{}{x}{\sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [143]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [144]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [145]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [146]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [147]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {\text {arctanh}(\tanh (a+b x))}} \, dx\) [148]
\(\int \genfrac {}{}{}{}{x^4}{\text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [149]
\(\int \genfrac {}{}{}{}{x^3}{\text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [150]
\(\int \genfrac {}{}{}{}{x^2}{\text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [151]
\(\int \genfrac {}{}{}{}{x}{\text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [152]
\(\int \genfrac {}{}{}{}{1}{\text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [153]
\(\int \genfrac {}{}{}{}{1}{x \text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [154]
\(\int \genfrac {}{}{}{}{1}{x^2 \text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [155]
\(\int \genfrac {}{}{}{}{1}{x^3 \text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [156]
\(\int \genfrac {}{}{}{}{1}{x^4 \text {arctanh}(\tanh (a+b x))^{3/2}} \, dx\) [157]
\(\int \genfrac {}{}{}{}{x^4}{\text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [158]
\(\int \genfrac {}{}{}{}{x^3}{\text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [159]
\(\int \genfrac {}{}{}{}{x^2}{\text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [160]
\(\int \genfrac {}{}{}{}{x}{\text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [161]
\(\int \genfrac {}{}{}{}{1}{\text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [162]
\(\int \genfrac {}{}{}{}{1}{x \text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [163]
\(\int \genfrac {}{}{}{}{1}{x^2 \text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [164]
\(\int \genfrac {}{}{}{}{1}{x^3 \text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [165]
\(\int \genfrac {}{}{}{}{1}{x^4 \text {arctanh}(\tanh (a+b x))^{5/2}} \, dx\) [166]
\(\int x^{7/2} \text {arctanh}(\tanh (a+b x)) \, dx\) [167]
\(\int x^{5/2} \text {arctanh}(\tanh (a+b x)) \, dx\) [168]
\(\int x^{3/2} \text {arctanh}(\tanh (a+b x)) \, dx\) [169]
\(\int \sqrt {x} \text {arctanh}(\tanh (a+b x)) \, dx\) [170]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))}{\sqrt {x}} \, dx\) [171]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))}{x^{3/2}} \, dx\) [172]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))}{x^{5/2}} \, dx\) [173]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))}{x^{7/2}} \, dx\) [174]
\(\int x^{7/2} \text {arctanh}(\tanh (a+b x))^2 \, dx\) [175]
\(\int x^{5/2} \text {arctanh}(\tanh (a+b x))^2 \, dx\) [176]
\(\int x^{3/2} \text {arctanh}(\tanh (a+b x))^2 \, dx\) [177]
\(\int \sqrt {x} \text {arctanh}(\tanh (a+b x))^2 \, dx\) [178]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^2}{\sqrt {x}} \, dx\) [179]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^2}{x^{3/2}} \, dx\) [180]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^2}{x^{5/2}} \, dx\) [181]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^2}{x^{7/2}} \, dx\) [182]
\(\int x^{7/2} \text {arctanh}(\tanh (a+b x))^3 \, dx\) [183]
\(\int x^{5/2} \text {arctanh}(\tanh (a+b x))^3 \, dx\) [184]
\(\int x^{3/2} \text {arctanh}(\tanh (a+b x))^3 \, dx\) [185]
\(\int \sqrt {x} \text {arctanh}(\tanh (a+b x))^3 \, dx\) [186]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^3}{\sqrt {x}} \, dx\) [187]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^3}{x^{3/2}} \, dx\) [188]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^3}{x^{5/2}} \, dx\) [189]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\tanh (a+b x))^3}{x^{7/2}} \, dx\) [190]
\(\int \genfrac {}{}{}{}{x^{7/2}}{\text {arctanh}(\tanh (a+b x))} \, dx\) [191]
\(\int \genfrac {}{}{}{}{x^{5/2}}{\text {arctanh}(\tanh (a+b x))} \, dx\) [192]
\(\int \genfrac {}{}{}{}{x^{3/2}}{\text {arctanh}(\tanh (a+b x))} \, dx\) [193]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{\text {arctanh}(\tanh (a+b x))} \, dx\) [194]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \text {arctanh}(\tanh (a+b x))} \, dx\) [195]
\(\int \genfrac {}{}{}{}{1}{x^{3/2} \text {arctanh}(\tanh (a+b x))} \, dx\) [196]
\(\int \genfrac {}{}{}{}{1}{x^{5/2} \text {arctanh}(\tanh (a+b x))} \, dx\) [197]
\(\int \genfrac {}{}{}{}{1}{x^{7/2} \text {arctanh}(\tanh (a+b x))} \, dx\) [198]
\(\int \genfrac {}{}{}{}{x^{7/2}}{\text {arctanh}(\tanh (a+b x))^2} \, dx\) [199]
\(\int \genfrac {}{}{}{}{x^{5/2}}{\text {arctanh}(\tanh (a+b x))^2} \, dx\) [200]