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. 4 1 (x − 1)2 dx 2