Let F(x)=∫esin−1x(1−x√1−x2)dx,andF(0)=1,ifF(12)=k√3ex6π, – InterviewSolution

1.	Let F(x)=∫esin−1x(1−x√1−x2)dx,andF(0)=1,ifF(12)=k√3ex6π, then k =
Answer» Let $F (x) = \int e^{s i n^{- 1} x} (1 - \frac{x}{\sqrt{1 - x^{2}}}) d x, a n d F (0) = 1, i f F (\frac{1}{2}) = \frac{k {\sqrt{3 e}}^{\frac{x}{6}}}{π}$ , then k =

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