Simpsons rule for volume

1. May 26, 2013

z37002

1)how do you set up simpsons rule for volume, if its NOT rotated about exactly on the axis?
2)can you use simpsons rule for shells method?
3)an example?

2. Relevant equations
change of x\n\3 14241

3. The attempt at a solution[/FONT]
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2. May 26, 2013

LCKurtz

Whether the integral represents volume by shells or disks, or area, or anything else, it doesn't matter. You will have some integral of the form $\int_a^b f(x)\, dx$. Just use the formula for Simpson's rule using $a$ and $b$, the number of intervals $n$ and your formula $f(x)$, whatever it is. You do know the Simpson rule formula, right?