Evaluate the following integral: `int_0^(1//2)(xsin^(-1)x)/(sqrt(1-x^2))dx`

Explanation

To evaluate the integral

\[ I = \int_0^{\frac{1}{2}} \frac{x \sin^{-1}(x)}{\sqrt{1-x^2}} \, dx, \]

we will use the substitution \( x = \sin(\theta) \).

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