\(\int (c+d x^2) \text {arctanh}(a x) \, dx\) [501]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{c+d x^2} \, dx\) [502]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{(c+d x^2)^2} \, dx\) [503]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{(c+d x^2)^3} \, dx\) [504]
\(\int \genfrac {}{}{}{}{\text {arctanh}(b x)}{1-x^2} \, dx\) [505]
\(\int \genfrac {}{}{}{}{1}{(a-a x^2) (b-2 b \text {arctanh}(x))} \, dx\) [506]
\(\int \sqrt {c+d x^2} \text {arctanh}(a x) \, dx\) [507]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{\sqrt {c+d x^2}} \, dx\) [508]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{(c+d x^2)^{3/2}} \, dx\) [509]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{(c+d x^2)^{5/2}} \, dx\) [510]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{(c+d x^2)^{7/2}} \, dx\) [511]
\(\int \genfrac {}{}{}{}{\text {arctanh}(a x)}{(c+d x^2)^{9/2}} \, dx\) [512]
\(\int \sqrt {a-a x^2} \text {arctanh}(x) \, dx\) [513]
\(\int \genfrac {}{}{}{}{\text {arctanh}(x)}{\sqrt {a-a x^2}} \, dx\) [514]
\(\int \genfrac {}{}{}{}{\text {arctanh}(x)}{(a-a x^2)^{3/2}} \, dx\) [515]
\(\int \genfrac {}{}{}{}{\text {arctanh}(x)}{(a-a x^2)^{5/2}} \, dx\) [516]
\(\int \genfrac {}{}{}{}{\text {arctanh}(x)}{(a-a x^2)^{7/2}} \, dx\) [517]
\(\int \genfrac {}{}{}{}{\text {arctanh}(x)}{a+b x+c x^2} \, dx\) [518]
\(\int \genfrac {}{}{}{}{x^2 (a+b \text {arctanh}(c x))}{(1-c x) (1+c x)^3} \, dx\) [519]
\(\int \genfrac {}{}{}{}{x^2 (a+b \text {arctanh}(c x))}{(1+c x)^2 (1-c^2 x^2)} \, dx\) [520]
\(\int x^4 (a+b \text {arctanh}(c x)) (d+e \log (1-c^2 x^2)) \, dx\) [521]
\(\int x^3 (a+b \text {arctanh}(c x)) (d+e \log (1-c^2 x^2)) \, dx\) [522]
\(\int x^2 (a+b \text {arctanh}(c x)) (d+e \log (1-c^2 x^2)) \, dx\) [523]
\(\int x (a+b \text {arctanh}(c x)) (d+e \log (1-c^2 x^2)) \, dx\) [524]
\(\int (a+b \text {arctanh}(c x)) (d+e \log (1-c^2 x^2)) \, dx\) [525]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x)) (d+e \log (1-c^2 x^2))}{x} \, dx\) [526]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x)) (d+e \log (1-c^2 x^2))}{x^2} \, dx\) [527]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x)) (d+e \log (1-c^2 x^2))}{x^3} \, dx\) [528]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x)) (d+e \log (1-c^2 x^2))}{x^4} \, dx\) [529]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x)) (d+e \log (1-c^2 x^2))}{x^5} \, dx\) [530]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x)) (d+e \log (1-c^2 x^2))}{x^6} \, dx\) [531]
\(\int x (a+b \text {arctanh}(c x)) (d+e \log (f+g x^2)) \, dx\) [532]
\(\int (a+b \text {arctanh}(c x)) (d+e \log (f+g x^2)) \, dx\) [533]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x)) (d+e \log (f+g x^2))}{x} \, dx\) [534]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x)) (d+e \log (f+g x^2))}{x^2} \, dx\) [535]
\(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x)) (d+e \log (f+g x^2))}{x^3} \, dx\) [536]
\(\int \genfrac {}{}{}{}{\text {arctanh}(c x) (a+b \text {arctanh}(c x))}{(1+c x)^2} \, dx\) [537]