Question: Suppose that f(t) has the property that f'(a) = f'(b) = 0 and that f(t) has two continuous derivatives. Use integration by parts to prove

Suppose that f(t) has the property that f'(a) = f'(b) = 0 and that f(t) has two continuous derivatives. Use integration by parts to prove that
f

f"(t)f(t) dt s 0.

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