Definition of Simpson's rule
: 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
Origin of simpson's rule
Thomas Simpson †1761 English mathematician
First Known Use: circa 1875
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