3.3.1 \(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c \sqrt {x}))^2}{x^3} \, dx\) [201]
3.3.2 \(\int x^3 (a+b \text {arctanh}(c \sqrt {x}))^3 \, dx\) [202]
3.3.3 \(\int x^2 (a+b \text {arctanh}(c \sqrt {x}))^3 \, dx\) [203]
3.3.4 \(\int x (a+b \text {arctanh}(c \sqrt {x}))^3 \, dx\) [204]
3.3.5 \(\int (a+b \text {arctanh}(c \sqrt {x}))^3 \, dx\) [205]
3.3.6 \(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c \sqrt {x}))^3}{x} \, dx\) [206]
3.3.7 \(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c \sqrt {x}))^3}{x^2} \, dx\) [207]
3.3.8 \(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c \sqrt {x}))^3}{x^3} \, dx\) [208]
3.3.9 \(\int x^{3/2} \text {arctanh}(\sqrt {x}) \, dx\) [209]
3.3.10 \(\int \sqrt {x} \text {arctanh}(\sqrt {x}) \, dx\) [210]
3.3.11 \(\int \genfrac {}{}{}{}{\text {arctanh}(\sqrt {x})}{\sqrt {x}} \, dx\) [211]
3.3.12 \(\int \genfrac {}{}{}{}{\text {arctanh}(\sqrt {x})}{x^{3/2}} \, dx\) [212]
3.3.13 \(\int x^3 (a+b \text {arctanh}(c x^{3/2})) \, dx\) [213]
3.3.14 \(\int x^2 (a+b \text {arctanh}(c x^{3/2})) \, dx\) [214]
3.3.15 \(\int x (a+b \text {arctanh}(c x^{3/2})) \, dx\) [215]
3.3.16 \(\int (a+b \text {arctanh}(c x^{3/2})) \, dx\) [216]
3.3.17 \(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^{3/2})}{x} \, dx\) [217]
3.3.18 \(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^{3/2})}{x^2} \, dx\) [218]
3.3.19 \(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^{3/2})}{x^3} \, dx\) [219]
3.3.20 \(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^{3/2})}{x^4} \, dx\) [220]
3.3.21 \(\int x^2 (a+b \text {arctanh}(c x^{3/2}))^2 \, dx\) [221]
3.3.22 \(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x^{3/2}))^2}{x} \, dx\) [222]
3.3.23 \(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x^{3/2}))^2}{x^4} \, dx\) [223]
3.3.24 \(\int x^2 (a+b \text {arctanh}(c x^n)) \, dx\) [224]
3.3.25 \(\int x (a+b \text {arctanh}(c x^n)) \, dx\) [225]
3.3.26 \(\int (a+b \text {arctanh}(c x^n)) \, dx\) [226]
3.3.27 \(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^n)}{x} \, dx\) [227]
3.3.28 \(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^n)}{x^2} \, dx\) [228]
3.3.29 \(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^n)}{x^3} \, dx\) [229]
3.3.30 \(\int \genfrac {}{}{}{}{a+b \text {arctanh}(c x^n)}{x^4} \, dx\) [230]
3.3.31 \(\int x (a+b \text {arctanh}(c x^n))^2 \, dx\) [231]
3.3.32 \(\int (a+b \text {arctanh}(c x^n))^2 \, dx\) [232]
3.3.33 \(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x^n))^2}{x} \, dx\) [233]
3.3.34 \(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x^n))^2}{x^2} \, dx\) [234]
3.3.35 \(\int \genfrac {}{}{}{}{(a+b \text {arctanh}(c x^n))^2}{x^3} \, dx\) [235]
3.3.36 \(\int \genfrac {}{}{}{}{\text {arctanh}(a x^n)}{x} \, dx\) [236]
3.3.37 \(\int \genfrac {}{}{}{}{\text {arctanh}(a x^5)}{x} \, dx\) [237]
3.3.38 \(\int \text {arctanh}(\genfrac {}{}{}{}{1}{x}) \, dx\) [238]
3.3.39 \(\int (d x)^m (a+b \text {arctanh}(c x^n))^3 \, dx\) [239]
3.3.40 \(\int (d x)^m (a+b \text {arctanh}(c x^n))^2 \, dx\) [240]
3.3.41 \(\int (d x)^m (a+b \text {arctanh}(c x^n)) \, dx\) [241]
3.3.42 \(\int \genfrac {}{}{}{}{(d x)^m}{a+b \text {arctanh}(c x^n)} \, dx\) [242]
3.3.43 \(\int \genfrac {}{}{}{}{(d x)^m}{(a+b \text {arctanh}(c x^n))^2} \, dx\) [243]