5. (a) (b) (c) Consider the mid-point rule for approximating [ f(x) dx = (b − a) f(ª+b). (a Derive the error term; Derive composite mid-point rule and its error; How small should h be to guarantee that the approximation of fe-² dx by composite mid-point rule is within an error of 10-5? (note that: you may use max{ƒ"(x)} ≤ 2.)