Boole's Rule
Let the values of a function 
be tabulated
at points 
equally spaced by 
, so
, 
, ...,
. Then Boole's rule approximating the integral
of 
is given by the Newton-Cotes-like
formula
 |
This formula is frequently and mistakenly known as Bode's rule (Abramowitz and Stegun 1972, p. 886) as a result of a typo in an early reference, but is actually due to Boole (Boole and Moulton 1960).
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{25, 35, 10, 17, 29, 14, 21, 31}
