Evaluating Improper Integrals using Laplace Transforms

Russell A. Gordon; Sean M. Stewart

doi:10.14321/realanalexch.48.1.1653552235

Evaluating Improper Integrals using Laplace Transforms

Russell A. Gordon, Sean M. Stewart

Physical Sciences and Engineering

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

Abstract

We discuss and verify an interesting method for evaluating certain integrals of the form R ∞0 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.

Original language	English (US)
Journal	Real Analysis Exchange
Volume	48
Issue number	1
DOIs	https://doi.org/10.14321/realanalexch.48.1.1653552235
State	Published - Feb 24 2023

Bibliographical note

KAUST Repository Item: Exported on 2023-02-27

ASJC Scopus subject areas

Analysis
Geometry and Topology

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10.14321/realanalexch.48.1.1653552235

Cite this

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title = "Evaluating Improper Integrals using Laplace Transforms",

abstract = "We discuss and verify an interesting method for evaluating certain integrals of the form R ∞0 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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AB - We discuss and verify an interesting method for evaluating certain integrals of the form R ∞0 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.

UR - http://hdl.handle.net/10754/688160

UR - https://projecteuclid.org/journals/real-analysis-exchange/volume-48/issue-1/Evaluating-Improper-Integrals-using-Laplace-Transforms/10.14321/realanalexch.48.1.1653552235.full

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Evaluating Improper Integrals using Laplace Transforms

Abstract

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ASJC Scopus subject areas

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