If \[\int_{0}^{\pi }{xf(\sin x)dx=A}\int_{0}^{\pi /2}{f(\sin x)dx}\], then A is [AIEEE 2004]

If \[\int_{0}^{\pi }{xf(\sin x)dx=A}\int_{0}^{\pi /2}{f(\sin x)dx}\],

1.	If \[\int_{0}^{\pi }{xf(\sin x)dx=A}\int_{0}^{\pi /2}{f(\sin x)dx}\], then A is [AIEEE 2004]
A.	\[2\pi \]
B.	\[\pi \]
C.	\[\frac{\pi }{4}\]
D.	0
Answer» C. \[\frac{\pi }{4}\]

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