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.
10 1 / (x - 1)2 dx
2