Question: Let f(x) C 2 [a,b], f [(a+b)/2] = 0. Prove that | a f(x) dx| [(b a)^3]/24 max (a x b) |f''(x)|.

Let f(x) C2[a,b], f [(a+b)/2] = 0. Prove that |a f(x) dx| [(b a)^3]/24 max (a x b) |f''(x)|.

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