3.3 Integrals 201 to 242

\(\int x^3 (a+b \text {arctanh}(c \sqrt {x}))^3 \, dx\) [201]
\(\int x^2 (a+b \text {arctanh}(c \sqrt {x}))^3 \, dx\) [202]
\(\int x (a+b \text {arctanh}(c \sqrt {x}))^3 \, dx\) [203]
\(\int (a+b \text {arctanh}(c \sqrt {x}))^3 \, dx\) [204]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c \sqrt {x}))^3}{x} \, dx\) [205]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c \sqrt {x}))^3}{x^2} \, dx\) [206]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c \sqrt {x}))^3}{x^3} \, dx\) [207]
\(\int x^{3/2} \text {arctanh}(\sqrt {x}) \, dx\) [208]
\(\int \sqrt {x} \text {arctanh}(\sqrt {x}) \, dx\) [209]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\sqrt {x})}{\sqrt {x}} \, dx\) [210]
\(\int \genfrac {}{}{}{}{\text {arctanh}(\sqrt {x})}{x^{3/2}} \, dx\) [211]
\(\int x^3 (a+b \text {arctanh}(c x^{3/2})) \, dx\) [212]
\(\int x^2 (a+b \text {arctanh}(c x^{3/2})) \, dx\) [213]
\(\int x (a+b \text {arctanh}(c x^{3/2})) \, dx\) [214]
\(\int (a+b \text {arctanh}(c x^{3/2})) \, dx\) [215]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^{3/2})}{x} \, dx\) [216]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^{3/2})}{x^2} \, dx\) [217]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^{3/2})}{x^3} \, dx\) [218]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^{3/2})}{x^4} \, dx\) [219]
\(\int x^2 (a+b \text {arctanh}(c x^{3/2}))^2 \, dx\) [220]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x^{3/2}))^2}{x} \, dx\) [221]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x^{3/2}))^2}{x^4} \, dx\) [222]
\(\int x^2 (a+b \text {arctanh}(c x^n)) \, dx\) [223]
\(\int x (a+b \text {arctanh}(c x^n)) \, dx\) [224]
\(\int (a+b \text {arctanh}(c x^n)) \, dx\) [225]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^n)}{x} \, dx\) [226]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^n)}{x^2} \, dx\) [227]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^n)}{x^3} \, dx\) [228]
\(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^n)}{x^4} \, dx\) [229]
\(\int x (a+b \text {arctanh}(c x^n))^2 \, dx\) [230]
\(\int (a+b \text {arctanh}(c x^n))^2 \, dx\) [231]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x^n))^2}{x} \, dx\) [232]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x^n))^2}{x^2} \, dx\) [233]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x^n))^2}{x^3} \, dx\) [234]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x^n)}{x} \, dx\) [235]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x^5)}{x} \, dx\) [236]
\(\int \text {arctanh}(\genfrac {}{}{}{}{1}{x}) \, dx\) [237]
\(\int (d x)^m (a+b \text {arctanh}(c x^n))^3 \, dx\) [238]
\(\int (d x)^m (a+b \text {arctanh}(c x^n))^2 \, dx\) [239]
\(\int (d x)^m (a+b \text {arctanh}(c x^n)) \, dx\) [240]
\(\int \genfrac {}{}{}{}{(d x)^m}{a+b \text {arctanh}(c x^n)} \, dx\) [241]
\(\int \genfrac {}{}{}{}{(d x)^m}{(a+b \text {arctanh}(c x^n))^2} \, dx\) [242]