Am trying to get a solution to the definite integral below. Looking for some direction. 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 of I in terms of A? I have tried going the integration by-parts route which did not lead to any success. Any help is much appreciated.