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2. Suppose f: [0, 1] [0, ) is a continuous function. Let A = f(x) dx. Prove that < 1+ [f(x)] dx 1+ A.

2. Suppose f: [0, 1] [0, ) is a continuous function. Let A = f(x) dx. Prove that < 1+ [f(x)] dx 1+ A. 1 + A So < I want the proof of the left inequality only please.

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