3.4 Integrals 301 to 349

\(\int \sqrt {a-b \arcsin (1-d x^2)} \, dx\) [301]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a-b \arcsin (1-d x^2)}} \, dx\) [302]
\(\int \genfrac {}{}{}{}{1}{(a-b \arcsin (1-d x^2))^{3/2}} \, dx\) [303]
\(\int \genfrac {}{}{}{}{1}{(a-b \arcsin (1-d x^2))^{5/2}} \, dx\) [304]
\(\int \genfrac {}{}{}{}{1}{(a-b \arcsin (1-d x^2))^{7/2}} \, dx\) [305]
\(\int \genfrac {}{}{}{}{(a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^n}{1-c^2 x^2} \, dx\) [306]
\(\int \genfrac {}{}{}{}{(a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^3}{1-c^2 x^2} \, dx\) [307]
\(\int \genfrac {}{}{}{}{(a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2}{1-c^2 x^2} \, dx\) [308]
\(\int \genfrac {}{}{}{}{a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}})}{1-c^2 x^2} \, dx\) [309]
\(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))} \, dx\) [310]
\(\int \genfrac {}{}{}{}{1}{(1-c^2 x^2) (a+b \arcsin (\genfrac {}{}{}{}{\sqrt {1-c x}}{\sqrt {1+c x}}))^2} \, dx\) [311]
\(\int e^x \arcsin (e^x) \, dx\) [312]
\(\int \arcsin (c e^{a+b x}) \, dx\) [313]
\(\int e^{\arcsin (a x)} x^3 \, dx\) [314]
\(\int e^{\arcsin (a x)} x^2 \, dx\) [315]
\(\int e^{\arcsin (a x)} x \, dx\) [316]
\(\int e^{\arcsin (a x)} \, dx\) [317]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a x)}}{x} \, dx\) [318]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a x)}}{x^2} \, dx\) [319]
\(\int e^{\arcsin (a x)^2} x^3 \, dx\) [320]
\(\int e^{\arcsin (a x)^2} x^2 \, dx\) [321]
\(\int e^{\arcsin (a x)^2} x \, dx\) [322]
\(\int e^{\arcsin (a x)^2} \, dx\) [323]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a x)^2}}{x} \, dx\) [324]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a x)^2}}{x^2} \, dx\) [325]
\(\int e^{\arcsin (a+b x)} x^3 \, dx\) [326]
\(\int e^{\arcsin (a+b x)} x^2 \, dx\) [327]
\(\int e^{\arcsin (a+b x)} x \, dx\) [328]
\(\int e^{\arcsin (a+b x)} \, dx\) [329]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a+b x)}}{x} \, dx\) [330]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a+b x)}}{x^2} \, dx\) [331]
\(\int e^{\arcsin (a+b x)^2} x^3 \, dx\) [332]
\(\int e^{\arcsin (a+b x)^2} x^2 \, dx\) [333]
\(\int e^{\arcsin (a+b x)^2} x \, dx\) [334]
\(\int e^{\arcsin (a+b x)^2} \, dx\) [335]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a+b x)^2}}{x} \, dx\) [336]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a+b x)^2}}{x^2} \, dx\) [337]
\(\int e^{\arcsin (a x)} (1-a^2 x^2)^{5/2} \, dx\) [338]
\(\int e^{\arcsin (a x)} (1-a^2 x^2)^{3/2} \, dx\) [339]
\(\int e^{\arcsin (a x)} \sqrt {1-a^2 x^2} \, dx\) [340]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a x)}}{\sqrt {1-a^2 x^2}} \, dx\) [341]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a x)}}{(1-a^2 x^2)^{3/2}} \, dx\) [342]
\(\int \genfrac {}{}{}{}{e^{\arcsin (a x)}}{(1-a^2 x^2)^{5/2}} \, dx\) [343]
\(\int \arcsin (\genfrac {}{}{}{}{c}{a+b x}) \, dx\) [344]
\(\int \genfrac {}{}{}{}{x}{\arcsin (\sin (x))} \, dx\) [345]
\(\int \genfrac {}{}{}{}{\arcsin (\sqrt {1+b x^2})^n}{\sqrt {1+b x^2}} \, dx\) [346]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+b x^2} \arcsin (\sqrt {1+b x^2})} \, dx\) [347]
\(\int (\genfrac {}{}{}{}{x}{1-x^2}+\genfrac {}{}{}{}{1}{\sqrt {1-x^2} \arcsin (x)}) \, dx\) [348]
\(\int \genfrac {}{}{}{}{\sqrt {1-x^2}+x \arcsin (x)}{\arcsin (x)-x^2 \arcsin (x)} \, dx\) [349]