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