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2. In this problem, we will prove the Fundamental Theorem of Calculus part 2 by using the definition Ul the integral. Theorem 1. Let

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2. In this problem, we will prove the Fundamental Theorem of Calculus part 2 by using the definition Ul the integral. Theorem 1. Let a,b R. If is differentiable on [a, b] and f' is integrable on [a,b], then S f'(x) dx = f(b) (a) Hint: you may need to use the MVT theorem in your proof.

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