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3.5
Integrals 401 to 474
\(\int (a+b \arcsin (1+d x^2))^4 \, dx\) [401]
\(\int (a+b \arcsin (1+d x^2))^3 \, dx\) [402]
\(\int (a+b \arcsin (1+d x^2))^2 \, dx\) [403]
\(\int (a+b \arcsin (1+d x^2)) \, dx\) [404]
\(\int \genfrac {}{}{}{}{1}{a+b \arcsin (1+d x^2)} \, dx\) [405]
\(\int \genfrac {}{}{}{}{1}{(a+b \arcsin (1+d x^2))^2} \, dx\) [406]
\(\int \genfrac {}{}{}{}{1}{(a+b \arcsin (1+d x^2))^3} \, dx\) [407]
\(\int (a-b \arcsin (1-d x^2))^4 \, dx\) [408]
\(\int (a-b \arcsin (1-d x^2))^3 \, dx\) [409]
\(\int (a-b \arcsin (1-d x^2))^2 \, dx\) [410]
\(\int (a-b \arcsin (1-d x^2)) \, dx\) [411]
\(\int \genfrac {}{}{}{}{1}{a-b \arcsin (1-d x^2)} \, dx\) [412]
\(\int \genfrac {}{}{}{}{1}{(a-b \arcsin (1-d x^2))^2} \, dx\) [413]
\(\int \genfrac {}{}{}{}{1}{(a-b \arcsin (1-d x^2))^3} \, dx\) [414]
\(\int \arcsin (1+x^2)^2 \, dx\) [415]
\(\int \arcsin (1-x^2)^2 \, dx\) [416]
\(\int (a+b \arcsin (1+d x^2))^{5/2} \, dx\) [417]
\(\int (a+b \arcsin (1+d x^2))^{3/2} \, dx\) [418]
\(\int \sqrt {a+b \arcsin (1+d x^2)} \, dx\) [419]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \arcsin (1+d x^2)}} \, dx\) [420]
\(\int \genfrac {}{}{}{}{1}{(a+b \arcsin (1+d x^2))^{3/2}} \, dx\) [421]
\(\int \genfrac {}{}{}{}{1}{(a+b \arcsin (1+d x^2))^{5/2}} \, dx\) [422]
\(\int \genfrac {}{}{}{}{1}{(a+b \arcsin (1+d x^2))^{7/2}} \, dx\) [423]
\(\int (a-b \arcsin (1-d x^2))^{5/2} \, dx\) [424]
\(\int (a-b \arcsin (1-d x^2))^{3/2} \, dx\) [425]
\(\int \sqrt {a-b \arcsin (1-d x^2)} \, dx\) [426]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a-b \arcsin (1-d x^2)}} \, dx\) [427]
\(\int \genfrac {}{}{}{}{1}{(a-b \arcsin (1-d x^2))^{3/2}} \, dx\) [428]
\(\int \genfrac {}{}{}{}{1}{(a-b \arcsin (1-d x^2))^{5/2}} \, dx\) [429]
\(\int \genfrac {}{}{}{}{1}{(a-b \arcsin (1-d x^2))^{7/2}} \, dx\) [430]
\(\int \genfrac {}{}{}{}{(a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^n}{1-c^2 x^2} \, dx\) [431]
\(\int \genfrac {}{}{}{}{(a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^3}{1-c^2 x^2} \, dx\) [432]
\(\int \genfrac {}{}{}{}{(a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2}{1-c^2 x^2} \, dx\) [433]
\(\int \genfrac {}{}{}{}{a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}})}{1-c^2 x^2} \, dx\) [434]
\(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))} \, dx\) [435]
\(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2} \, dx\) [436]
\(\int e^x \arcsin (e^x) \, dx\) [437]
\(\int \arcsin (c e^{a+b x}) \, dx\) [438]
\(\int e^{\arcsin (a x)} x^3 \, dx\) [439]
\(\int e^{\arcsin (a x)} x^2 \, dx\) [440]
\(\int e^{\arcsin (a x)} x \, dx\) [441]
\(\int e^{\arcsin (a x)} \, dx\) [442]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a x)}}{x} \, dx\) [443]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a x)}}{x^2} \, dx\) [444]
\(\int e^{\arcsin (a x)^2} x^3 \, dx\) [445]
\(\int e^{\arcsin (a x)^2} x^2 \, dx\) [446]
\(\int e^{\arcsin (a x)^2} x \, dx\) [447]
\(\int e^{\arcsin (a x)^2} \, dx\) [448]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a x)^2}}{x} \, dx\) [449]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a x)^2}}{x^2} \, dx\) [450]
\(\int e^{\arcsin (a+b x)} x^3 \, dx\) [451]
\(\int e^{\arcsin (a+b x)} x^2 \, dx\) [452]
\(\int e^{\arcsin (a+b x)} x \, dx\) [453]
\(\int e^{\arcsin (a+b x)} \, dx\) [454]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a+b x)}}{x} \, dx\) [455]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a+b x)}}{x^2} \, dx\) [456]
\(\int e^{\arcsin (a+b x)^2} x^3 \, dx\) [457]
\(\int e^{\arcsin (a+b x)^2} x^2 \, dx\) [458]
\(\int e^{\arcsin (a+b x)^2} x \, dx\) [459]
\(\int e^{\arcsin (a+b x)^2} \, dx\) [460]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a+b x)^2}}{x} \, dx\) [461]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a+b x)^2}}{x^2} \, dx\) [462]
\(\int e^{\arcsin (a x)} (1-a^2 x^2)^{5/2} \, dx\) [463]
\(\int e^{\arcsin (a x)} (1-a^2 x^2)^{3/2} \, dx\) [464]
\(\int e^{\arcsin (a x)} \sqrt {1-a^2 x^2} \, dx\) [465]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a x)}}{\sqrt {1-a^2 x^2}} \, dx\) [466]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a x)}}{(1-a^2 x^2)^{3/2}} \, dx\) [467]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a x)}}{(1-a^2 x^2)^{5/2}} \, dx\) [468]
\(\int \arcsin (\genfrac {}{}{}{}{c}{a+b x}) \, dx\) [469]
\(\int \genfrac {}{}{}{}{x}{\arcsin (\sin (x))} \, dx\) [470]
\(\int \genfrac {}{}{}{}{\arcsin (\sqrt {1+b x^2})^n}{\sqrt {1+b x^2}} \, dx\) [471]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+b x^2} \arcsin (\sqrt {1+b x^2})} \, dx\) [472]
\(\int (\genfrac {}{}{}{}{x}{1-x^2}+\genfrac {}{}{}{}{1}{\sqrt {1-x^2} \arcsin (x)}) \, dx\) [473]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^2}+x \arcsin (x)}{\arcsin (x)-x^2 \arcsin (x)} \, dx\) [474]
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