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Bode's Rule

\int_{x_1}^{x_5} f(x)\,dx = {\textstyle{2\over 45}} h (7f_1+...
...2+12f_3+32f_4+7f_5)-{\textstyle{8\over 945}} h^7 f^{(6)}(\xi).

See also Hardy's Rule, Newton-Cotes Formulas, Simpson's 3/8 Rule, Simpson's Rule, Trapezoidal Rule, Weddle's Rule


Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 886, 1972.

© 1996-9 Eric W. Weisstein