Simpson Rule

July 14th, 2010

$Simpson Rule$

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:

$Simpson Rule formula$

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