Integrate the following functions w.r.t. x : e^sin^-1x[(x + √(1 - x^2))/(√(1 - x^2))]

Question

Integrate the following functions w.r.t. x :

\(e^{sin^{-1}}x \left[\frac{x + \sqrt{1 - x^2}}{\sqrt{1 - x^2}}\right]\)

e^sin-1x[(x + √(1 - x²))/(√(1 - x²))]

Answer 1

e^sin-1x[(x + √(1 - x²))/(√(1 - x²))]

and x = sin t