Question: Letfbe a continuously differentiable function defined on an interval [a, b] such that f(a) = f(b) = 0 and f (x) dx = 1.

Letfbe a continuously differentiable function defined on an interval [a, b] such

Letfbe a continuously differentiable function defined on an interval [a, b] such that f(a) = f(b) = 0 and f (x) dx = 1. Then the value of [xf (x) f'(x) dx is_

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