JEE Math Practice Question
$$\int\limits_0^\pi {xf\left( {\sin x} \right)dx} $$ is equal to
- A.$$\pi \int\limits_0^\pi {f\left( {\cos x} \right)dx} $$
- B.$$\,\pi \int\limits_0^\pi {f\left( {sinx} \right)dx} $$
- C.$${\pi \over 2}\int\limits_0^{\pi /2} {f\left( {sinx} \right)dx} $$
- D.$$\pi \int\limits_0^{\pi /2} {f\left( {\cos x} \right)dx} $$
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