Can anyone help me with what seems like an easy problem?

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- September 27th 2011, 11:56 AMminmin1Approximate integration
Can anyone help me with what seems like an easy problem?

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- September 27th 2011, 03:55 PMHallsofIvyRe: Approximate integration
Well, it would help if you told us what , , and mean!

- September 27th 2011, 08:31 PMtangibleLimeRe: Approximate integration
I think he's using Simpson's rule. If I'm correct, it looks like he's trying to show the relation between the midpoint rule and the trapezoidal rule with Simpson's rule.

Midpoint rule:

Trapezoidal rule:

Weighted average:

This weighted average*is*Simpson's rule.

Simpson's rule:

Looking at his equation,

= weighted average = Simpson's Rule

Not totally sure what these subscripts are, but there's a start.