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Math Help - Numerical Integration - Simpson's Rule Error

  1. #1
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    Numerical Integration - Simpson's Rule Error

    For numerical integration, Simpson's Rule is:

    \int_{x_0}^{x_2} f(x) dx = \frac{h}{3} (y_0 + 4y_1 +y2) - \frac{h^5}{90} f^{iv} (c)

    where h = x_2 - x_1 = x_1 - x_0 and c is between x_0 and x_2.

    There is however a conventional error which arises when using Simpson's rule to approximate an integral.
    An expression for this error can be derived using Taylor series, but I'm having trouble deriving it. Can anyone please help?
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  2. #2
    Member mybrohshi5's Avatar
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    Simpson's Rule and series sounds like calculus topics. You may have better luck getting help on this if you post this in the calculus section good luck!
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