GATE Civil Engineering
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Consider the following definite integral: $I= \int_0^1 \frac{(\sin ^{-1}x)^2}{\sqrt{1-x^2}} dx$. The value of the integral is

  1. $\frac{\pi ^3}{24}$
  2. $\frac{\pi ^3}{12}$
  3. $\frac{\pi ^3}{48}$
  4. $\frac{\pi ^3}{64}$
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