Question: If f' is continuous on [a, b], show that f(x)f'(x) dx = [f(b)] [f(a)I

If f' is continuous on [a, b], show that

f(x)f'(x) dx = [f(b)]² – [f(a)I²

f(x)f'(x) dx = [f(b)] [f(a)I

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