\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^2}{x^2 (1-a^2 x^2)^{3/2}} \, dx\) [401]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^2}{x^3 (1-a^2 x^2)^{3/2}} \, dx\) [402]
\(\int \genfrac {}{}{}{}{x^m \text {arctanh}(a x)^3}{(1-a^2 x^2)^{3/2}} \, dx\) [403]
\(\int \genfrac {}{}{}{}{x^3 \text {arctanh}(a x)^3}{(1-a^2 x^2)^{3/2}} \, dx\) [404]
\(\int \genfrac {}{}{}{}{x^2 \text {arctanh}(a x)^3}{(1-a^2 x^2)^{3/2}} \, dx\) [405]
\(\int \genfrac {}{}{}{}{x \text {arctanh}(a x)^3}{(1-a^2 x^2)^{3/2}} \, dx\) [406]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^3}{(1-a^2 x^2)^{3/2}} \, dx\) [407]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^3}{x (1-a^2 x^2)^{3/2}} \, dx\) [408]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^3}{x^2 (1-a^2 x^2)^{3/2}} \, dx\) [409]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^3}{x^3 (1-a^2 x^2)^{3/2}} \, dx\) [410]
\(\int \genfrac {}{}{}{}{x^m}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)} \, dx\) [411]
\(\int \genfrac {}{}{}{}{x^2}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)} \, dx\) [412]
\(\int \genfrac {}{}{}{}{x}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)} \, dx\) [413]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)} \, dx\) [414]
\(\int \genfrac {}{}{}{}{1}{x (1-a^2 x^2)^{3/2} \text {arctanh}(a x)} \, dx\) [415]
\(\int \genfrac {}{}{}{}{x^m}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)^2} \, dx\) [416]
\(\int \genfrac {}{}{}{}{x^2}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)^2} \, dx\) [417]
\(\int \genfrac {}{}{}{}{x}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)^2} \, dx\) [418]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)^2} \, dx\) [419]
\(\int \genfrac {}{}{}{}{1}{x (1-a^2 x^2)^{3/2} \text {arctanh}(a x)^2} \, dx\) [420]
\(\int \genfrac {}{}{}{}{x^m}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)^3} \, dx\) [421]
\(\int \genfrac {}{}{}{}{x^2}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)^3} \, dx\) [422]
\(\int \genfrac {}{}{}{}{x}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)^3} \, dx\) [423]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)^3} \, dx\) [424]
\(\int \genfrac {}{}{}{}{1}{x (1-a^2 x^2)^{3/2} \text {arctanh}(a x)^3} \, dx\) [425]
\(\int x^4 \sqrt {1-a^2 x^2} \text {arctanh}(a x) \, dx\) [426]
\(\int x^3 \sqrt {1-a^2 x^2} \text {arctanh}(a x) \, dx\) [427]
\(\int x^2 \sqrt {1-a^2 x^2} \text {arctanh}(a x) \, dx\) [428]
\(\int x \sqrt {1-a^2 x^2} \text {arctanh}(a x) \, dx\) [429]
\(\int \sqrt {1-a^2 x^2} \text {arctanh}(a x) \, dx\) [430]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2 x^2} \text {arctanh}(a x)}{x} \, dx\) [431]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2 x^2} \text {arctanh}(a x)}{x^2} \, dx\) [432]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2 x^2} \text {arctanh}(a x)}{x^3} \, dx\) [433]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2 x^2} \text {arctanh}(a x)}{x^4} \, dx\) [434]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2 x^2} \text {arctanh}(a x)}{x^5} \, dx\) [435]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2 x^2} \text {arctanh}(a x)}{x^6} \, dx\) [436]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2 x^2} \text {arctanh}(a x)}{x^7} \, dx\) [437]
\(\int x^4 \sqrt {1-a^2 x^2} \text {arctanh}(a x)^2 \, dx\) [438]
\(\int x^3 \sqrt {1-a^2 x^2} \text {arctanh}(a x)^2 \, dx\) [439]
\(\int x^2 \sqrt {1-a^2 x^2} \text {arctanh}(a x)^2 \, dx\) [440]
\(\int x \sqrt {1-a^2 x^2} \text {arctanh}(a x)^2 \, dx\) [441]
\(\int \sqrt {1-a^2 x^2} \text {arctanh}(a x)^2 \, dx\) [442]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2 x^2} \text {arctanh}(a x)^2}{x} \, dx\) [443]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2 x^2} \text {arctanh}(a x)^2}{x^2} \, dx\) [444]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2 x^2} \text {arctanh}(a x)^2}{x^3} \, dx\) [445]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2 x^2} \text {arctanh}(a x)^2}{x^4} \, dx\) [446]
\(\int x^4 (1-a^2 x^2)^{3/2} \text {arctanh}(a x) \, dx\) [447]
\(\int x^3 (1-a^2 x^2)^{3/2} \text {arctanh}(a x) \, dx\) [448]
\(\int x^2 (1-a^2 x^2)^{3/2} \text {arctanh}(a x) \, dx\) [449]
\(\int x (1-a^2 x^2)^{3/2} \text {arctanh}(a x) \, dx\) [450]
\(\int (1-a^2 x^2)^{3/2} \text {arctanh}(a x) \, dx\) [451]
\(\int \genfrac {}{}{}{}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)}{x} \, dx\) [452]
\(\int \genfrac {}{}{}{}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)}{x^2} \, dx\) [453]
\(\int \genfrac {}{}{}{}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)}{x^3} \, dx\) [454]
\(\int \genfrac {}{}{}{}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)}{x^4} \, dx\) [455]
\(\int \genfrac {}{}{}{}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)}{x^5} \, dx\) [456]
\(\int \genfrac {}{}{}{}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)}{x^6} \, dx\) [457]
\(\int \genfrac {}{}{}{}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)}{x^7} \, dx\) [458]
\(\int (1-a^2 x^2)^{5/2} \text {arctanh}(a x) \, dx\) [459]
\(\int (1-a^2 x^2)^{3/2} \text {arctanh}(a x) \, dx\) [460]
\(\int \sqrt {1-a^2 x^2} \text {arctanh}(a x) \, dx\) [461]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{(1-a^2 x^2)^{5/2}} \, dx\) [462]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{(1-a^2 x^2)^{7/2}} \, dx\) [463]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{(1-a^2 x^2)^{9/2}} \, dx\) [464]
\(\int (c-a^2 c x^2)^{3/2} \text {arctanh}(a x) \, dx\) [465]
\(\int \sqrt {c-a^2 c x^2} \text {arctanh}(a x) \, dx\) [466]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{\sqrt {c-a^2 c x^2}} \, dx\) [467]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{(c-a^2 c x^2)^{3/2}} \, dx\) [468]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{(c-a^2 c x^2)^{5/2}} \, dx\) [469]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{(c-a^2 c x^2)^{7/2}} \, dx\) [470]
\(\int \sqrt {1-a^2 x^2} \text {arctanh}(a x)^2 \, dx\) [471]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^2}{(1-a^2 x^2)^{5/2}} \, dx\) [472]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^2}{(1-a^2 x^2)^{7/2}} \, dx\) [473]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^2}{(1-a^2 x^2)^{9/2}} \, dx\) [474]
\(\int \sqrt {1-a^2 x^2} \text {arctanh}(a x)^3 \, dx\) [475]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^3}{(1-a^2 x^2)^{5/2}} \, dx\) [476]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^3}{(1-a^2 x^2)^{7/2}} \, dx\) [477]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)^3}{(1-a^2 x^2)^{9/2}} \, dx\) [478]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2 x^2}}{\text {arctanh}(a x)} \, dx\) [479]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-a^2 x^2} \text {arctanh}(a x)} \, dx\) [480]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)} \, dx\) [481]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^{5/2} \text {arctanh}(a x)} \, dx\) [482]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^{7/2} \text {arctanh}(a x)} \, dx\) [483]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^{9/2} \text {arctanh}(a x)} \, dx\) [484]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2 x^2}}{\text {arctanh}(a x)^2} \, dx\) [485]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-a^2 x^2} \text {arctanh}(a x)^2} \, dx\) [486]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)^2} \, dx\) [487]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^{5/2} \text {arctanh}(a x)^2} \, dx\) [488]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^{7/2} \text {arctanh}(a x)^2} \, dx\) [489]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^{9/2} \text {arctanh}(a x)^2} \, dx\) [490]
\(\int \genfrac {}{}{}{}{\sqrt {1-a^2 x^2}}{\text {arctanh}(a x)^3} \, dx\) [491]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-a^2 x^2} \text {arctanh}(a x)^3} \, dx\) [492]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^{3/2} \text {arctanh}(a x)^3} \, dx\) [493]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^{5/2} \text {arctanh}(a x)^3} \, dx\) [494]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^{7/2} \text {arctanh}(a x)^3} \, dx\) [495]
\(\int \genfrac {}{}{}{}{1}{(1-a^2 x^2)^{9/2} \text {arctanh}(a x)^3} \, dx\) [496]
\(\int \genfrac {}{}{}{}{(d+e x) (a+b \text {arctanh}(c x))^2}{1-c^2 x^2} \, dx\) [497]
\(\int (c+d x^2)^4 \text {arctanh}(a x) \, dx\) [498]
\(\int (c+d x^2)^3 \text {arctanh}(a x) \, dx\) [499]
\(\int (c+d x^2)^2 \text {arctanh}(a x) \, dx\) [500]