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A Derivation of Taylor's Formula with Integral Remainder

by Dimitri Kountourogiannis and Paul Loya (Binghamton University)

This article originally appeared in:
Mathematics Magazine
June, 2003

Subject classification(s): Calculus | Several Variable Calculus | Multiple Integrals | Single Variable Calculus | Series
Applicable Course(s): 3.0 Calculus | 3.3 Mainstream Calculus III, IV

The authors give a derivation of the integral remainder formula in Taylor's Theorem using change of order in an iterated multiple integral.

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Capsule Course Topic(s):
Multivariable Calculus | Double Integrals, Applications
Multivariable Calculus | Triple Integrals
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