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.

**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.

© 1996-9

1999-05-26