Posts Tagged ‘simpson rule’

Simpson Rule

Simpson Rule 

If we divide [a,b] into n equal intervals, each of width: 

Simpson rule interval 

The first rectangle has area  Simpson rule formula
The second rectangle has area Simpson Rule formula
The ith rectangle has area  Simpson rule formula i
The nth rectangle has area  Simpson rule formula nth

The area under f range [a,b] is therefore: 

Simpson Rule formula