Application of Parseval’s Theorem on Evaluating Some Definite Integrals

Chii-Huei Yu^1,

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

Cite this paper:
Chii-Huei Yu. Application of Parseval’s Theorem on Evaluating Some Definite Integrals. Turkish Journal of Analysis and Number Theory. 2014; 2(1):1-5. doi: 10.12691/tjant-2-1-1

Abstract

This paper uses the mathematical software Maple for the auxiliary tool to study six types of definite integrals. We can determine the infinite series forms of these definite integrals by using Parseval’s theorem. On the other hand, we provide some definite integrals 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

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