Boole's rule

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The widely propagated typographical error Bode's rule redirects here. For Bode's Law see Titius–Bode law.
In mathematics, Boole's rule, named after George Boole, is a method of numerical integration. It approximates an integral

by using the values of ƒ at five equally spaced points

It is expressed thus in Abramowitz and Stegun (1972, p. 886):

and the error term is

for some number c between x1 and x5. (945 = 1 × 3 × 5 × 7 × 9.)

It is often known as Bode's rule, due to a typographical error that propagated from Abramowitz and Stegun (1972, p. 886).[1][2]

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