\Delta x = \dfrac{4 - 0}{4} = 1. x_{i}는 0, 1, 2, 3, 4이다.

\displaystyle S_{4} = \dfrac{\Delta x}{3} [f(x_{0}) + 4f(x_{1}) + 2f(x_{2}) + 4f(x_{3}) + f(x_{4})]

\displaystyle S_{4} = \dfrac{1}{3}[0^{3} + 4(1^{3}) + 2(2^{3}) + 4(3^{3}) + 4^{3}]

\displaystyle S_{4} = \dfrac{1}{3}[0 + 4(1) + 2(8) + 4(27) + 64]

\displaystyle S_{4} = \dfrac{1}{3}[4 + 16 + 108 + 64] = \dfrac{1}{3}[192] = 64