On that most over Skinned of Improper Integrals

Sean M. Stewart

doi:10.1080/07468342.2023.2186085

On that most over Skinned of Improper Integrals

Sean M. Stewart

Physical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

Continuing a much discussed topic of the various ways a particular improper integral can be evaluated, we give three further ways its generalization can be evaluated. Using techniques typically encountered immediately after the calculus sequence of courses we show how the improper integral can be evaluated using the beta and gamma functions, by first converting it to a double integral, and using a property of the Laplace transform.

Original language	English (US)
Pages (from-to)	1-7
Number of pages	7
Journal	The College Mathematics Journal
DOIs	https://doi.org/10.1080/07468342.2023.2186085
State	Published - Mar 20 2023

Bibliographical note

KAUST Repository Item: Exported on 2023-03-24
Acknowledgements: The author would like to thank the two anonymous referees for helpful suggestions on an earlier draft of this paper.

ASJC Scopus subject areas

General Mathematics
Education

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10.1080/07468342.2023.2186085

Cite this

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N2 - Continuing a much discussed topic of the various ways a particular improper integral can be evaluated, we give three further ways its generalization can be evaluated. Using techniques typically encountered immediately after the calculus sequence of courses we show how the improper integral can be evaluated using the beta and gamma functions, by first converting it to a double integral, and using a property of the Laplace transform.

AB - Continuing a much discussed topic of the various ways a particular improper integral can be evaluated, we give three further ways its generalization can be evaluated. Using techniques typically encountered immediately after the calculus sequence of courses we show how the improper integral can be evaluated using the beta and gamma functions, by first converting it to a double integral, and using a property of the Laplace transform.

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On that most over Skinned of Improper Integrals

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

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