MCQ
$\int_0^{\frac{1}{\sqrt{2}}} \frac{\sin ^{-1} x}{\left(1-x^2\right)^{\frac{3}{2}}} d x$ = ______.
  • A
    $\frac{\pi}{2}-\log 2$
  • B
    $\frac{\pi}{4}+\frac{1}{2} \log 2$
  • C
    $\frac{\pi}{2}+\log 2$
  • $\frac{\pi}{4}-\frac{1}{2} \log 2$

Answer

Correct option: D.
$\frac{\pi}{4}-\frac{1}{2} \log 2$
D

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