Consider the error formulas. |E| ≤

(b − a)3

12n2

[max |f ''(x)|], a ≤ x ≤ b

Trapezoidal Rule

|E| ≤

(b − a)5

180n4

[max |f (4)(x)|], a ≤ x ≤ b

Simpson's Rule

Use these to estimate the errors in approximating the integral, with n = 4, using the Trapezoidal Rule and Simpson's Rule.

6 1 (x − 1)2 dx 2