Question: Suppose that f is continuous on [a, b], that f(x) > 0 for all x [a, b] and that ba f = 0. Prove

Suppose that f is continuous on [a, b], that f(x) > 0 for all x ∈ [a, b] and that ∫ba f = 0. Prove that f(x) = 0 for all x ∈ [a, b].

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