# Simpson's Rule

1. Aug 13, 2007

Does the Simpson's rule of numerical integration ($$\frac{1}{3}h\left( {f_0 + 4f_1 + f_2 } \right)$$) give exact values for all polynomials to a third degree i.e., linear functions, quadratic functions, and cubic functions?

Is there a better method for numerical integration approximation? One which a better, more accurate result?

Many thanks