eng
Science and Education Publishing
American Journal of Numerical Analysis
2328-7292
2014-03-13
2
2
60
64
10.12691/ajna-2-2-5
AJNA2014225
article
Solving Some Definite Integrals Using Parseval's Theorem
Chii-Huei Yu
chiihuei@nju.edu.tw
1
Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan
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.
http://pubs.sciepub.com/ajna/2/2/5/ajna-2-2-5.pdf
definite integrals
infinite series forms
Parseval's theorem
Maple