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

Explanation

`\int_{a}^{b} \frac{1}{\sqrt{(1-x^{2})}} d x=[-\cos ^{-1} x]_{a}^{b} `


`\int_{0}^{1 / 2} \frac{1}{\sqrt{(1-x^{2})}}=[-\cos ^{-1} x]_{0}^{1 / 2} `



`\Rightarrow-[\cos ^{-1} 1 / 2-\cos ^{-1} 0] `



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