# Math Help - Numerical Integration - Simpson's Rule Error

1. ## 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?

2. 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!