3. (20 marks) Let f : [a, b] + R be integrable. Prove there there exists a point ce [a, b] such that 1 2 Sºse) . f(t) dt
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3. (20 marks) Let f : [a, b] + R be integrable. Prove there there exists a point ce [a, b] such that 1 2 Sºse) . f(t) dt
3. (20 marks) Let f : [a, b] + R be integrable. Prove there there exists a point ce [a, b] such that 1 2 Sºse) . f(t) dt. [*s(4) dt = 1° 3(e) at (Hint: Use F(x) = $* s(e) dt for 2 € (a, b) ... a
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