Simpson's 1/3 rule with two subintervals (n = 2) applied to the integral of x³ from 0 to 2 gives

Explanation

With h = 1, the value is (1/3)[f(0) + 4f(1) + f(2)] = (1/3)(0 + 4 + 8) = 4, exact because Simpson's rule is exact for cubic polynomials.