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A Counterexample to Integration by Parts

by Alexander Kheifets (University of Massachusetts Lowell) and James Propp (University of Massachusetts Lowell)

This article originally appeared in:
Mathematics Magazine
June, 2010

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

The authors exhibit two differentiable functions for which the integration by parts formula does not apply.

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Capsule Course Topic(s): One-Variable Calculus | Integration Methods
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