Mathematics and Statistics Vol. 2(4), pp. 155 - 161
DOI: 10.13189/ms.2014.020401
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Evaluating Multiple Integrals Using Maple

Chii-Huei Yu ^1,*, Bing-Huei Chen ^2
1 Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, 73746, Taiwan
² Department of Electrical Engineering, Nan Jeon University of Science and Technology, Tainan City, 73746, Taiwan

ABSTRACT

This paper uses the mathematical software Maple for the auxiliary tool to study two types of multiple integrals. We can obtain the infinite series forms of these two types of multiple integrals by using binomial series and integration term by term theorem. On the other hand, 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 by using Maple.

KEYWORDS
Multiple Integrals, Infinite Series Forms, Binomial Series, Integration Term by Term Theorem, Maple

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Chii-Huei Yu , Bing-Huei Chen , "Evaluating Multiple Integrals Using Maple," Mathematics and Statistics, Vol. 2, No. 4, pp. 155 - 161, 2014. DOI: 10.13189/ms.2014.020401.

(b). APA Format:
Chii-Huei Yu , Bing-Huei Chen (2014). Evaluating Multiple Integrals Using Maple. Mathematics and Statistics, 2(4), 155 - 161. DOI: 10.13189/ms.2014.020401.