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Limitless Integrals and a New Definition of the Logarithm

by David Shelupsky

This article originally appeared in:
Mathematics Magazine
October, 1995

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

The value of the integral of xn on [a,b] can be obtained exactly from a Riemann sum in which the evaluation points in partition intervals are cleverly chosen.

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