0 votes 0 votes Consider the following definite integral: $I= \displaystyle{} \int_0^1 \dfrac{(\sin ^{-1}x)^2}{\sqrt{1-x^2}} dx$. The value of the integral is $\dfrac{\pi ^3}{24} \\$ $\dfrac{\pi ^3}{12} \\$ $\dfrac{\pi ^3}{48} \\$ $\dfrac{\pi ^3}{64}$ Calculus gate2017-ce-2 calculus definite-integral + – gatecse asked Aug 7, 2019 • edited Mar 11, 2021 by Lakshman Bhaiya gatecse 4.0k points answer See all 0 reply