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

  1. $\dfrac{\pi ^3}{24} \\$
  2. $\dfrac{\pi ^3}{12} \\$
  3. $\dfrac{\pi ^3}{48} \\$
  4. $\dfrac{\pi ^3}{64}$
in Calculus by (3.9k points)
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