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Means Generated by an Integral

by Hongwei Chen (Christopher Newport University)

This article originally appeared in:
Mathematics Magazine
December, 2005

Subject classification(s): Analysis | Real Analysis | Integration
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis

An integral is shown to generate six different means: arithmetic mean, geometric mean, harmonic mean, logarithmic mean, Heronian mean, and centroidal mean.

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