Question:
Mark $(\sqrt{)}$ against the correct answer in the following:
$\int_{0}^{1 / \sqrt{2}} \frac{\sin ^{-1} x}{\left(1-x^{2}\right)^{3 / 2}} d x=?$
A. $\frac{1}{2}(\pi-\log 2)$
B. $\left(\frac{\pi}{2}-2 \log 2\right)$
C. $\left(\frac{\pi}{4}-\frac{1}{2} \log 2\right)$
D. none of these
Solution:
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