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  4. If ∫ limits0π x f( sin x) d x=k ∫ limits0π f( sin x) d x, then k equals

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Q. If $\int\limits_0^\pi x f(\sin x) d x=k \int\limits_0^\pi f(\sin x) d x$, then $k$ equals

Integrals

Solution:

Correct answer is (b) $\frac{\pi}{2}$