Evaluating Improper Integrals using Laplace Transforms

Russell A. Gordon, Sean M. Stewart

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
JournalReal Analysis Exchange
Issue number1
StatePublished - 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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