Improper integral with exponential function

In this paper, we explore the improper integral with exponential function f = xx is approached to infinite series, and also prove the convergence of these series. An improper integral converges if the limit defining it exists. We use Maple code to calculate the infinite series. The application of im...

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Published in:Journal of intelligent & fuzzy systems 2023-01, Vol.44 (2), p.1637-1644
Main Authors: AL-Hossain Ahmad, AL-Nashri, Altoum, Sami H., Elamin, Mahjoub A., Othman, Hakeem A.
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Language:English
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Convergence
Exponential functions
Infinite series
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creator AL-Hossain Ahmad, AL-Nashri
Altoum, Sami H.
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description In this paper, we explore the improper integral with exponential function f = xx is approached to infinite series, and also prove the convergence of these series. An improper integral converges if the limit defining it exists. We use Maple code to calculate the infinite series. The application of improper integral appear in several domain in science. As an application in this paper, three examples are given to illustrate the effectiveness of our main result.
doi_str_mv 10.3233/JIFS-220183
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subjects Convergence
Exponential functions
Infinite series
title Improper integral with exponential function
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