四、數值積分係用以計算定積分之近似值,試繪圖並證明下列梯形法 (Trapezoidal Rule)公式:
\( \int_{a}^{b} f(x)dx \approx \frac{b - a}{2n} [f(x_{0}) + 2f(x_{1}) + 2f(x_{2}) + \cdots + 2f(x_{n-1}) + f(x_{n})] \)