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