Teaching EMRS PGT Mock Test 2023 Mathematics Integral Calculus Properties of Definite Integrals

\(\int\limits_0^{\frac{\pi }{2}} {x\;{{\sin }^2}x\;{{\cos }^2}x\,dx\,}\) is equal to 

1
\(\frac{{{\pi ^2}}}{{64}}\)
2
\(\frac{{{\pi ^2}}}{{16}}\)
3
\(\frac{\pi }{{32}}\)
4
None of these 
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