Boole,s Rule
المؤلف:
Abramowitz, M. and Stegun, I. A
المصدر:
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, 1972.
الجزء والصفحة:
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2-12-2021
1438
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).
REFERENCES:
Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, 1972.
Boole, G. and Moulton, J. F. A Treatise on the Calculus of Finite Differences, 2nd rev. ed. New York: Dover, 1960.
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