Let the values of a function be tabulated at points equally spaced by , so , , ..., . Then Durand's rule approximating the integral of is given by the Newton-Cotes-like formula
Durand's Rule
See also
Boole's Rule, Hardy's Rule, Newton-Cotes Formulas, Simpson's 3/8 Rule, Simpson's Rule, Trapezoidal Rule, Weddle's RuleExplore with Wolfram|Alpha
References
Beyer, W. H. (Ed.). CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 127, 1987.Referenced on Wolfram|Alpha
Durand's RuleCite this as:
Weisstein, Eric W. "Durand's Rule." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DurandsRule.html