Numerical-Methods

Simpson’s Rule for Approximating Integrals

You can approximate with the formula:

where is the number of strips used to approximate the area and is the width of each strip. This formula is derived by using quadratic curves and using the result that area of quadratic curve passing through , , is .

Other forms:

$$\frac{1}{3}h(y_0 + 4(y_1 + y_3 + \ldots + y_{2n-1}) + 2(y_2 + y_4 + \ldots + y_{2n-2}) + y_{2n})$