2023 Evaluating Improper Integrals using Laplace Transforms
Russell A. Gordon, Seán M. Stewart
Author Affiliations +
Real Anal. Exchange 48(1): 201-222 (2023). DOI: 10.14321/realanalexch.48.1.1653552235

Abstract

We discuss and verify an interesting method for evaluating certain integrals of the form $\int_0^\infty f(t)\,dt$ using Laplace transforms. Careful proofs are given to justify the method and establish some limits that streamline the computations. Several examples are provided to illustrate the ease with which this method computes the value of an integral as compared to other standard approaches.

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Russell A. Gordon. Seán M. Stewart. "Evaluating Improper Integrals using Laplace Transforms." Real Anal. Exchange 48 (1) 201 - 222, 2023. https://doi.org/10.14321/realanalexch.48.1.1653552235

Information

Published: 2023
First available in Project Euclid: 24 February 2023

Digital Object Identifier: 10.14321/realanalexch.48.1.1653552235

Subjects:
Primary: 26A36 , 26E05
Secondary: 44A10

Keywords: improper integrals , Laplace transform , trigonometric functions

Rights: Copyright © 2023 Michigan State University Press

Vol.48 • No. 1 • 2023
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