Let the values of a function be tabulated at points equally spaced by , so , , .... Then Weddle's rule approximating the integral of is given by the Newton-Cotes-like formula
Weddle's Rule
See also
Boole's Rule, Hardy's Rule, Newton-Cotes Formulas, Shovelton's Rule, Simpson's 3/8 Rule, Simpson's Rule, Trapezoidal RuleExplore with Wolfram|Alpha
References
Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 127, 1987.King, A. E. "Approximate Integration. Note on Quadrature Formulae: Their Construction and Application to Actuarial Functions." Trans. Faculty of Actuaries 9, 218-231, 1923.Sheppard, W. F. "Some Quadrature-Formulæ." Proc. London Math. Soc. 32, 258-277, 1900.Whittaker, E. T. and Robinson, G. The Calculus of Observations: A Treatise on Numerical Mathematics, 4th ed. New York: Dover, p. 151, 1967.Referenced on Wolfram|Alpha
Weddle's RuleCite this as:
Weisstein, Eric W. "Weddle's Rule." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/WeddlesRule.html