Affiliations: [a]
Department of Mathematics, Umm Al-Qura University, KSA, Saudi Arabia
| [b]
Department of Mathematics, University College of Umluj, Tabuk University, KSA, Saudi Arabia
Correspondence:
[*]
Corresponding author. AL-Nashri AL-Hossain Ahmad, Department of mathematics, Umm Al-Qura University, KSA, Saudi Arabia. E-mail: aanashri@uqu.edu.sa.
Abstract: 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.
Keywords: Improper integral, exponential function, infinite series
