Question: Problem 2 (15 points) Define a new quadrature scheme midpoint rule as following I ( f ) := / f( x) da = Q (f)

Problem 2 (15 points) Define a new quadrature scheme midpoint rule as following I ( f ) := / f( x) da = Q (f) := (6- a)f(- b ta a 2 where I(f) represents exact integration value, and Q(f) represents value from midpoint rule. Suppose f is smooth on [a, b]. 1. (10 points) Prove that II ( f) - Q (f) |

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