Real Life Applications of Improper Integrals

Ritu Kathuria

doi:https://doi.org/10.14445/22315373/IJMTT-V69I8P510

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 8 | Year 2023 | Article Id. IJMTT-V69I8P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I8P510

Real Life Applications of Improper Integrals

Ritu Kathuria

Received	Revised	Accepted	Published
21 Jun 2023	04 Aug 2023	19 Aug 2023	31 Aug 2023

Abstract

In Calculus , a function can grow infinitely large and yet give a finite area under its curve. The study of improper integrals revolves about this notion. These integrals cannot be computed applying the usual Riemann Integral. In this article, we discuss the two types of improper integrals and their evaluation methods. We illustrate the real life applications of improper integrals in different fields. We also discuss the significance, properties and applications of Beta and Gamma functions which are defined using the concept of improper integrals.

Keywords

Area under the infinite curve, Beta function, Convergence, Gamma function, Improper integral.

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Citation :

Ritu Kathuria, "Real Life Applications of Improper Integrals," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 8, pp. 79-86, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I8P510