\(\int (1+a^2+2 a b x+b^2 x^2)^{3/2} \text {arcsinh}(a+b x)^3 \, dx\) [201]
\(\int (1+a^2+2 a b x+b^2 x^2)^{3/2} \text {arcsinh}(a+b x)^2 \, dx\) [202]
\(\int (1+a^2+2 a b x+b^2 x^2)^{3/2} \text {arcsinh}(a+b x) \, dx\) [203]
\(\int \genfrac {}{}{}{}{(1+a^2+2 a b x+b^2 x^2)^{3/2}}{\text {arcsinh}(a+b x)} \, dx\) [204]
\(\int \genfrac {}{}{}{}{(1+a^2+2 a b x+b^2 x^2)^{3/2}}{\text {arcsinh}(a+b x)^2} \, dx\) [205]
\(\int \genfrac {}{}{}{}{(1+a^2+2 a b x+b^2 x^2)^{3/2}}{\text {arcsinh}(a+b x)^3} \, dx\) [206]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a+b x)^3}{\sqrt {1+a^2+2 a b x+b^2 x^2}} \, dx\) [207]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a+b x)^2}{\sqrt {1+a^2+2 a b x+b^2 x^2}} \, dx\) [208]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a+b x)}{\sqrt {1+a^2+2 a b x+b^2 x^2}} \, dx\) [209]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+a^2+2 a b x+b^2 x^2} \text {arcsinh}(a+b x)} \, dx\) [210]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+a^2+2 a b x+b^2 x^2} \text {arcsinh}(a+b x)^2} \, dx\) [211]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+a^2+2 a b x+b^2 x^2} \text {arcsinh}(a+b x)^3} \, dx\) [212]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a+b x)^3}{(1+a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [213]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a+b x)^2}{(1+a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [214]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a+b x)}{(1+a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [215]
\(\int \genfrac {}{}{}{}{1}{(1+a^2+2 a b x+b^2 x^2)^{3/2} \text {arcsinh}(a+b x)} \, dx\) [216]
\(\int \genfrac {}{}{}{}{1}{(1+a^2+2 a b x+b^2 x^2)^{3/2} \text {arcsinh}(a+b x)^2} \, dx\) [217]
\(\int x^3 \text {arcsinh}(a x^2) \, dx\) [218]
\(\int x^2 \text {arcsinh}(a x^2) \, dx\) [219]
\(\int x \text {arcsinh}(a x^2) \, dx\) [220]
\(\int \text {arcsinh}(a x^2) \, dx\) [221]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a x^2)}{x} \, dx\) [222]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a x^2)}{x^2} \, dx\) [223]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a x^2)}{x^3} \, dx\) [224]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a x^2)}{x^4} \, dx\) [225]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a x^5)}{x} \, dx\) [226]
\(\int x^2 \text {arcsinh}(\sqrt {x}) \, dx\) [227]
\(\int x \text {arcsinh}(\sqrt {x}) \, dx\) [228]
\(\int \text {arcsinh}(\sqrt {x}) \, dx\) [229]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(\sqrt {x})}{x} \, dx\) [230]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(\sqrt {x})}{x^2} \, dx\) [231]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(\sqrt {x})}{x^3} \, dx\) [232]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(\sqrt {x})}{x^4} \, dx\) [233]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(\sqrt {x})}{x^5} \, dx\) [234]
\(\int x^2 \text {arcsinh}(\genfrac {}{}{}{}{a}{x}) \, dx\) [235]
\(\int x \text {arcsinh}(\genfrac {}{}{}{}{a}{x}) \, dx\) [236]
\(\int \text {arcsinh}(\genfrac {}{}{}{}{a}{x}) \, dx\) [237]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(\genfrac {}{}{}{}{a}{x})}{x} \, dx\) [238]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(\genfrac {}{}{}{}{a}{x})}{x^2} \, dx\) [239]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(\genfrac {}{}{}{}{a}{x})}{x^3} \, dx\) [240]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(\genfrac {}{}{}{}{a}{x})}{x^4} \, dx\) [241]
\(\int x^m \text {arcsinh}(a x^n) \, dx\) [242]
\(\int x^2 \text {arcsinh}(a x^n) \, dx\) [243]
\(\int x \text {arcsinh}(a x^n) \, dx\) [244]
\(\int \text {arcsinh}(a x^n) \, dx\) [245]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a x^n)}{x} \, dx\) [246]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a x^n)}{x^2} \, dx\) [247]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(a x^n)}{x^3} \, dx\) [248]
\(\int (a+i b \arcsin (1-i d x^2))^4 \, dx\) [249]
\(\int (a+i b \arcsin (1-i d x^2))^3 \, dx\) [250]
\(\int (a+i b \arcsin (1-i d x^2))^2 \, dx\) [251]
\(\int (a+i b \arcsin (1-i d x^2)) \, dx\) [252]
\(\int \genfrac {}{}{}{}{1}{a+i b \arcsin (1-i d x^2)} \, dx\) [253]
\(\int \genfrac {}{}{}{}{1}{(a+i b \arcsin (1-i d x^2))^2} \, dx\) [254]
\(\int \genfrac {}{}{}{}{1}{(a+i b \arcsin (1-i d x^2))^3} \, dx\) [255]
\(\int (a-i b \arcsin (1+i d x^2))^4 \, dx\) [256]
\(\int (a-i b \arcsin (1+i d x^2))^3 \, dx\) [257]
\(\int (a-i b \arcsin (1+i d x^2))^2 \, dx\) [258]
\(\int (a-i b \arcsin (1+i d x^2)) \, dx\) [259]
\(\int \genfrac {}{}{}{}{1}{a-i b \arcsin (1+i d x^2)} \, dx\) [260]
\(\int \genfrac {}{}{}{}{1}{(a-i b \arcsin (1+i d x^2))^2} \, dx\) [261]
\(\int \genfrac {}{}{}{}{1}{(a-i b \arcsin (1+i d x^2))^3} \, dx\) [262]
\(\int (a+i b \arcsin (1-i d x^2))^{5/2} \, dx\) [263]
\(\int (a+i b \arcsin (1-i d x^2))^{3/2} \, dx\) [264]
\(\int \sqrt {a+i b \arcsin (1-i d x^2)} \, dx\) [265]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+i b \arcsin (1-i d x^2)}} \, dx\) [266]
\(\int \genfrac {}{}{}{}{1}{(a+i b \arcsin (1-i d x^2))^{3/2}} \, dx\) [267]
\(\int \genfrac {}{}{}{}{1}{(a+i b \arcsin (1-i d x^2))^{5/2}} \, dx\) [268]
\(\int \genfrac {}{}{}{}{1}{(a+i b \arcsin (1-i d x^2))^{7/2}} \, dx\) [269]
\(\int (a-i b \arcsin (1+i d x^2))^{5/2} \, dx\) [270]
\(\int (a-i b \arcsin (1+i d x^2))^{3/2} \, dx\) [271]
\(\int \sqrt {a-i b \arcsin (1+i d x^2)} \, dx\) [272]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a-i b \arcsin (1+i d x^2)}} \, dx\) [273]
\(\int \genfrac {}{}{}{}{1}{(a-i b \arcsin (1+i d x^2))^{3/2}} \, dx\) [274]
\(\int \genfrac {}{}{}{}{1}{(a-i b \arcsin (1+i d x^2))^{5/2}} \, dx\) [275]
\(\int \genfrac {}{}{}{}{1}{(a-i b \arcsin (1+i d x^2))^{7/2}} \, dx\) [276]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^n}{1-c^2 x^2} \, dx\) [277]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^3}{1-c^2 x^2} \, dx\) [278]
\(\int \genfrac {}{}{}{}{(a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2}{1-c^2 x^2} \, dx\) [279]
\(\int \genfrac {}{}{}{}{a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}})}{1-c^2 x^2} \, dx\) [280]
\(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))} \, dx\) [281]
\(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \text {arcsinh}(\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2} \, dx\) [282]
\(\int \text {arcsinh}(c e^{a+b x}) \, dx\) [283]
\(\int \genfrac {}{}{}{}{x}{\sqrt {1+x^2} \text {arcsinh}(x)} \, dx\) [284]
\(\int x^3 \text {arcsinh}(a+b x^4) \, dx\) [285]
\(\int x^{-1+n} \text {arcsinh}(a+b x^n) \, dx\) [286]
\(\int \text {arcsinh}(\genfrac {}{}{}{}{c}{a+b x}) \, dx\) [287]
\(\int \genfrac {}{}{}{}{x}{\text {arcsinh}(\sinh (x))} \, dx\) [288]
\(\int \genfrac {}{}{}{}{\text {arcsinh}(\sqrt {-1+b x^2})^n}{\sqrt {-1+b x^2}} \, dx\) [289]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+b x^2} \text {arcsinh}(\sqrt {-1+b x^2})} \, dx\) [290]