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3. Let f(x) be a nonnegative, integrable function on [0, 1] with f(0) = f(1) = 0. Suppose that f is differentiable at every point
3. Let f(x) be a nonnegative, integrable function on [0, 1] with f(0) = f(1) = 0. Suppose that f is differentiable at every point of [0, 1] and ex f'(x) is integrable on [0, 1]. Show that 0Z er f'(x)dx z e f(x) dx. 0
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