*…where h is the width of each strip and*The more strips involved or you have in the rule the better the approximation.

**n**is the even number## Example

Use the Simpson’s rule with 8 strips to calculate an approximation to the following integral: First we need to work out the width of each strip to use for**h**in the Simpon’s rule. We know that the region we want to find the area for runs from

**x=-1**to

**x=3**, so the total width is a

**4**. That must mean that the width of each strip is

**4/8=0.5**So we now need to work out the

**y**values at each point. A good way of finding these values is by drawing a table as below. For example: when

**x = -1**This is how we find the x values.

-1 | -0.5 | 0 | 0.5 | 1 | 1.5 | 2 | 2.5 | 3 |

-1 | -0.5 | 0 | 0.5 | 1 | 1.5 | 2 | 2.5 | 3 |

**6.80**This is how you use the Simpson’s rule. It’s that simple!