Consider the following definite integral:
\(I = \mathop \smallint \limits_0^1 \frac{{{{\left( {{{\sin }^{ - 1}}x} \right)}^2}}}{{\sqrt {1 - {x^2}} }}dx\)
The value of the integral is1
\(\frac{{{\pi ^3}}}{{24}}\)
2
\(\frac{{{\pi ^3}}}{{12}}\)
3
\(\frac{{{\pi ^3}}}{{48}}\)
4
\(\frac{{{\pi ^3}}}{{64}}\)