American Journal of Numerical Analysis
ISSN (Print): 2372-2118 ISSN (Online): 2372-2126 Website: http://www.sciepub.com/journal/ajna Editor-in-chief: Emanuele Galligani
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American Journal of Numerical Analysis. 2014, 2(2), 60-64
DOI: 10.12691/ajna-2-2-5
Open AccessArticle

Solving Some Definite Integrals Using Parseval’s Theorem

Chii-Huei Yu1,

1Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan

Pub. Date: March 13, 2014

Cite this paper:
Chii-Huei Yu. Solving Some Definite Integrals Using Parseval’s Theorem. American Journal of Numerical Analysis. 2014; 2(2):60-64. doi: 10.12691/ajna-2-2-5

Abstract

This article takes advantage of the mathematical software Maple for the auxiliary tool to study six types of definite integrals. The infinite series forms of these definite integrals can be obtained by using Parseval’s theorem. In addition, we propose some examples to do calculation practically. The research methods adopted in this study involved finding solutions through manual calculations and verifying these solutions using Maple.

Keywords:
definite integrals infinite series forms Parseval’s theorem Maple

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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