is there a better method than simpson's rule using the same amount of "n" terms but with a more accurate answer?

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- Apr 9th 2010, 12:30 AMduoc12numerical integration
is there a better method than simpson's rule using the same amount of "n" terms but with a more accurate answer?

- Apr 9th 2010, 02:49 AMHallsofIvy
What do you mean by "better"? Simpson's rule approximates the function by a piecewise quadratic function. Using a piecewise cubic or piecewise quartic function will give a more accurate answer for the same "n" but will be much harder to calculate.