# Do Estimates of an Integral Really Improve as $n$ Increases

by Sherman K. Stein (University of California, Davis)

This article originally appeared in:
Mathematics Magazine
February, 1995

Subject classification(s): Analysis | Numerical Analysis | Calculus | Single Variable Calculus | Integration
Applicable Course(s): 3.0 Calculus | 3.1 Mainstream Calculus I | 4.17 Numerical Analysis

The author discusses necessary conditions for montonicity of various integral approximation methods as the number of points increases.

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Capsule Course Topic(s):
One-Variable Calculus | Integration: Motivation and Definition