Am trying to get a solution to the definite integral below. Looking for some direction.(adsbygoogle = window.adsbygoogle || []).push({});

I=_{0}∫^{1}xf(x)dx where

_{0}∫^{1}f(x)dx =A, is known.

Also, its is know that when x =1, f(x) =0 and when x =0, f(x) =1.

Can we get a solution ofIin terms ofA?

I have tried going the integration by-parts route which did not lead to any success. Any help is much appreciated.

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# Tricky definite integral

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