Simpson's rule

noun
Simp·​son's rule | \ˈsim(p)-sənz- \

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

First Known Use of Simpson's rule

circa 1875, in the meaning defined above

History and Etymology for Simpson's rule

Thomas Simpson †1761 English mathematician

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The first known use of Simpson's rule was circa 1875

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