Question: 3. (20 marks) Let f : [a, b] - R be integrable. Prove there there exists a point c E [a, b] such that f(t)

3. (20 marks) Let f : [a, b] - R be

3. (20 marks) Let f : [a, b] - R be integrable. Prove there there exists a point c E [a, b] such that f(t) at = f(t) dt = f (t) dt. a (Hint: Use F(:) = f (t) dt for I E [a, b].) a

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