What is the integral of (e^{arcsin(x)})/(sqrt(1-x^2)) ?

The integral of (e^{arcsin(x)})/(sqrt(1-x^2)) is e^{arcsin(x)}+C

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integral of (e^{arcsin(x)})/(sqrt(1-x^2))

\int \frac{e ^{a r c s i n (x)}}{1 - x ^{2}} d x

e^{a r c s i n (x)} + C

Solution steps

\int \frac{e ^{a r c s i n (x)}}{1 - x ^{2}} d x

Apply u-substitution

: \int e^{u} d u

= \int e^{u} d u

Use the common integral:

\int e^{u} d u = e^{u}

= e^{u}

Substitute back

u = arcsin (x)

= e^{a r c s i n (x)}

Add a constant to the solution

= e^{a r c s i n (x)} + C

\frac{d}{d x} (\frac{12}{x + 2} - 3)

\frac{d}{d x} (\frac{x ^{2} - 4 x}{x + 1})

\int - \frac{x ^{2} + 11 x + 28}{( x + 2 ) ^{2}} d x

\frac{d}{d x} (\frac{1}{x ^{2} + 5})

f (x) = - 16 t^{2}

What is the integral of (e^{arcsin(x)})/(sqrt(1-x^2)) ?
The integral of (e^{arcsin(x)})/(sqrt(1-x^2)) is e^{arcsin(x)}+C