\Delta x = (2 - 0)/4 = 0.5. x_{i}는 0, 0.5, 1, 1.5, 2이다.

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

\displaystyle T_{4} = \dfrac{0.5}{2} [0^{2} + 2(0.5^{2}) + 2(1^{2}) + 2(1.5^{2}) + 2^{2}]

\displaystyle T_{4} = 0.25[0 + 2(0.25) + 2(1) + 2(2.25) + 4]

\displaystyle T_{4} = 0.25[0.5 + 2 + 4.5 + 4] = 0.25[11] = 2.75