If $\int\limits_0^\pi {xf\left( {\sin x} \right)dx = A\int\limits_0^{\pi /2} {f\left( {\sin x} \right)dx,} } $ then $A$ is - DASH

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Question

If $\int\limits_0^\pi {xf\left( {\sin x} \right)dx = A\int\limits_0^{\pi /2} {f\left( {\sin x} \right)dx,} } $ then $A$ is

$2\pi $

$\pi $

${\pi \over 4}$

$0$

Solution

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