3.5.1 \(\int (a+b \arcsin (1+d x^2))^4 \, dx\) [401]
3.5.2 \(\int (a+b \arcsin (1+d x^2))^3 \, dx\) [402]
3.5.3 \(\int (a+b \arcsin (1+d x^2))^2 \, dx\) [403]
3.5.4 \(\int (a+b \arcsin (1+d x^2)) \, dx\) [404]
3.5.5 \(\int \genfrac {}{}{}{}{1}{a+b \arcsin (1+d x^2)} \, dx\) [405]
3.5.6 \(\int \genfrac {}{}{}{}{1}{(a+b \arcsin (1+d x^2))^2} \, dx\) [406]
3.5.7 \(\int \genfrac {}{}{}{}{1}{(a+b \arcsin (1+d x^2))^3} \, dx\) [407]
3.5.8 \(\int (a-b \arcsin (1-d x^2))^4 \, dx\) [408]
3.5.9 \(\int (a-b \arcsin (1-d x^2))^3 \, dx\) [409]
3.5.10 \(\int (a-b \arcsin (1-d x^2))^2 \, dx\) [410]
3.5.11 \(\int (a-b \arcsin (1-d x^2)) \, dx\) [411]
3.5.12 \(\int \genfrac {}{}{}{}{1}{a-b \arcsin (1-d x^2)} \, dx\) [412]
3.5.13 \(\int \genfrac {}{}{}{}{1}{(a-b \arcsin (1-d x^2))^2} \, dx\) [413]
3.5.14 \(\int \genfrac {}{}{}{}{1}{(a-b \arcsin (1-d x^2))^3} \, dx\) [414]
3.5.15 \(\int \arcsin (1+x^2)^2 \, dx\) [415]
3.5.16 \(\int \arcsin (1-x^2)^2 \, dx\) [416]
3.5.17 \(\int (a+b \arcsin (1+d x^2))^{5/2} \, dx\) [417]
3.5.18 \(\int (a+b \arcsin (1+d x^2))^{3/2} \, dx\) [418]
3.5.19 \(\int \sqrt {a+b \arcsin (1+d x^2)} \, dx\) [419]
3.5.20 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \arcsin (1+d x^2)}} \, dx\) [420]
3.5.21 \(\int \genfrac {}{}{}{}{1}{(a+b \arcsin (1+d x^2))^{3/2}} \, dx\) [421]
3.5.22 \(\int \genfrac {}{}{}{}{1}{(a+b \arcsin (1+d x^2))^{5/2}} \, dx\) [422]
3.5.23 \(\int \genfrac {}{}{}{}{1}{(a+b \arcsin (1+d x^2))^{7/2}} \, dx\) [423]
3.5.24 \(\int (a-b \arcsin (1-d x^2))^{5/2} \, dx\) [424]
3.5.25 \(\int (a-b \arcsin (1-d x^2))^{3/2} \, dx\) [425]
3.5.26 \(\int \sqrt {a-b \arcsin (1-d x^2)} \, dx\) [426]
3.5.27 \(\int \genfrac {}{}{}{}{1}{\sqrt {a-b \arcsin (1-d x^2)}} \, dx\) [427]
3.5.28 \(\int \genfrac {}{}{}{}{1}{(a-b \arcsin (1-d x^2))^{3/2}} \, dx\) [428]
3.5.29 \(\int \genfrac {}{}{}{}{1}{(a-b \arcsin (1-d x^2))^{5/2}} \, dx\) [429]
3.5.30 \(\int \genfrac {}{}{}{}{1}{(a-b \arcsin (1-d x^2))^{7/2}} \, dx\) [430]
3.5.31 \(\int \genfrac {}{}{}{}{(a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^n}{1-c^2 x^2} \, dx\) [431]
3.5.32 \(\int \genfrac {}{}{}{}{(a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^3}{1-c^2 x^2} \, dx\) [432]
3.5.33 \(\int \genfrac {}{}{}{}{(a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2}{1-c^2 x^2} \, dx\) [433]
3.5.34 \(\int \genfrac {}{}{}{}{a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}})}{1-c^2 x^2} \, dx\) [434]
3.5.35 \(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))} \, dx\) [435]
3.5.36 \(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2} \, dx\) [436]
3.5.37 \(\int e^x \arcsin (e^x) \, dx\) [437]
3.5.38 \(\int \arcsin (c e^{a+b x}) \, dx\) [438]
3.5.39 \(\int e^{\arcsin (a x)} x^3 \, dx\) [439]
3.5.40 \(\int e^{\arcsin (a x)} x^2 \, dx\) [440]
3.5.41 \(\int e^{\arcsin (a x)} x \, dx\) [441]
3.5.42 \(\int e^{\arcsin (a x)} \, dx\) [442]
3.5.43 \(\int \genfrac {}{}{}{}{e^{\arcsin (a x)}}{x} \, dx\) [443]
3.5.44 \(\int \genfrac {}{}{}{}{e^{\arcsin (a x)}}{x^2} \, dx\) [444]
3.5.45 \(\int e^{\arcsin (a x)^2} x^3 \, dx\) [445]
3.5.46 \(\int e^{\arcsin (a x)^2} x^2 \, dx\) [446]
3.5.47 \(\int e^{\arcsin (a x)^2} x \, dx\) [447]
3.5.48 \(\int e^{\arcsin (a x)^2} \, dx\) [448]
3.5.49 \(\int \genfrac {}{}{}{}{e^{\arcsin (a x)^2}}{x} \, dx\) [449]
3.5.50 \(\int \genfrac {}{}{}{}{e^{\arcsin (a x)^2}}{x^2} \, dx\) [450]
3.5.51 \(\int e^{\arcsin (a+b x)} x^3 \, dx\) [451]
3.5.52 \(\int e^{\arcsin (a+b x)} x^2 \, dx\) [452]
3.5.53 \(\int e^{\arcsin (a+b x)} x \, dx\) [453]
3.5.54 \(\int e^{\arcsin (a+b x)} \, dx\) [454]
3.5.55 \(\int \genfrac {}{}{}{}{e^{\arcsin (a+b x)}}{x} \, dx\) [455]
3.5.56 \(\int \genfrac {}{}{}{}{e^{\arcsin (a+b x)}}{x^2} \, dx\) [456]
3.5.57 \(\int e^{\arcsin (a+b x)^2} x^3 \, dx\) [457]
3.5.58 \(\int e^{\arcsin (a+b x)^2} x^2 \, dx\) [458]
3.5.59 \(\int e^{\arcsin (a+b x)^2} x \, dx\) [459]
3.5.60 \(\int e^{\arcsin (a+b x)^2} \, dx\) [460]
3.5.61 \(\int \genfrac {}{}{}{}{e^{\arcsin (a+b x)^2}}{x} \, dx\) [461]
3.5.62 \(\int \genfrac {}{}{}{}{e^{\arcsin (a+b x)^2}}{x^2} \, dx\) [462]
3.5.63 \(\int e^{\arcsin (a x)} (1-a^2 x^2)^{5/2} \, dx\) [463]
3.5.64 \(\int e^{\arcsin (a x)} (1-a^2 x^2)^{3/2} \, dx\) [464]
3.5.65 \(\int e^{\arcsin (a x)} \sqrt {1-a^2 x^2} \, dx\) [465]
3.5.66 \(\int \genfrac {}{}{}{}{e^{\arcsin (a x)}}{\sqrt {1-a^2 x^2}} \, dx\) [466]
3.5.67 \(\int \genfrac {}{}{}{}{e^{\arcsin (a x)}}{(1-a^2 x^2)^{3/2}} \, dx\) [467]
3.5.68 \(\int \genfrac {}{}{}{}{e^{\arcsin (a x)}}{(1-a^2 x^2)^{5/2}} \, dx\) [468]
3.5.69 \(\int \arcsin (\genfrac {}{}{}{}{c}{a+b x}) \, dx\) [469]
3.5.70 \(\int \genfrac {}{}{}{}{x}{\arcsin (\sin (x))} \, dx\) [470]
3.5.71 \(\int \genfrac {}{}{}{}{\arcsin (\sqrt {1+b x^2})^n}{\sqrt {1+b x^2}} \, dx\) [471]
3.5.72 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+b x^2} \arcsin (\sqrt {1+b x^2})} \, dx\) [472]
3.5.73 \(\int (\genfrac {}{}{}{}{x}{1-x^2}+\genfrac {}{}{}{}{1}{\sqrt {1-x^2} \arcsin (x)}) \, dx\) [473]
3.5.74 \(\int \genfrac {}{}{}{}{\sqrt {1-x^2}+x \arcsin (x)}{\arcsin (x)-x^2 \arcsin (x)} \, dx\) [474]