definite-integral

Question: $\int_{0}^{1/2}{\frac{x{{\sin }^{-1}}x}{\sqrt{1-{{x}^{2}}}}\,dx=}$

1) $\frac{1}{2}+\frac{\sqrt{3}\pi }{12}$

2) $\frac{1}{2}-\frac{\sqrt{3}\pi }{12}$

3) $\frac{1}{2}-\frac{\sqrt{3\pi }}{12}$

4) None of these

Solution:

Explanation: No Explanation

Fundamental definite integration Definite integration by substitution

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