Simpson's Rule

Simpson’s Rule Simpson's rule   is a method for   numerical integration , the numerical approximation of   definite integrals .Simpson’s rule is a method for approximating the area under a curve over a given interval that involves partitioning the interval by an odd number  n+1  of equally spaced ordinates and adding the areas of the n/2    figures formed by pairs of successive odd-numbered ordinates and the parabolas which they determine with their included even-numbered ordinates. In   Simpson's Rule, we will use   parabolas   to approximate each part of the curve. This proves to be very efficient since it's generally more accurate than the other numerical methods we've seen. The method is credited to the mathematician   Thomas Simpson   (1710–1761) of Leicestershire, England.   Kepler   used similar formulas over 100 years prior. For this reason the method is sometimes called Kepler's rule, or   Keplers...