## Trapezoidal Rule

The 2-point Newton-Cotes Formula

where , is the separation between the points, and is a point satisfying . Picking to maximize gives an upper bound for the error in the trapezoidal approximation to the Integral.

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

References

Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 885, 1972.