Simpson and Trapezoidal Rules Comparison

Simpson rule is a second degree Newton-Coates formula which approximates the function piecewise by parabolas passing through three consecutive points in a partition created by the division points. Consequently, the number of subdivisions of interval [a,b] must be even. Formula for Simpson rule is given by , where . This GeoGebra applet builds an excellent GeoGebra applet on Simpson Rule Animation by GeoGebra Team. The author of this applet gratefully acknowledges and thanks the GeoGebra Team. For more on these rules check my online book "Flipped Classroom Calculus of Single Variable"