Using Parseval’s Theorem to Solve Some Definite Integrals

Chii-Huei Yu^1,

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

Cite this paper:
Chii-Huei Yu. Using Parseval’s Theorem to Solve Some Definite Integrals. American Journal of Computing Research Repository. 2014; 2(3):49-52. doi: 10.12691/ajcrr-2-3-2

Abstract

This paper uses the mathematical software Maple for the auxiliary tool to study three types of definite integrals. The closed forms of these definite integrals can be obtained using Parseval’s theorem. In addition, we propose some definite integrals to do calculation practically. The research methods adopted in this study is to find solutions through manual calculations and verify these solutions using Maple.

Keywords:
definite integrals closed forms Parseval’s theorem Maple

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