The Application of Parseval’s Theorem to Integral Problems

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. The Application of Parseval’s Theorem to Integral Problems. Applied Mathematics and Physics. 2014; 2(1):4-9. doi: 10.12691/amp-2-1-2

Abstract

This paper uses the mathematical software Maple as an auxiliary tool to study six types of definite integrals. We can obtain the infinite series forms of these definite integrals by using Parseval’s theorem. On the other hand, we provide some examples to do calculation practically. The research methods adopted in this study involved finding solutions through manual calculations and verifying the answers by using Maple.

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

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