eng Science and Education Publishing American Journal of Computing Research Repository 2014-01-14 2 1 19 21 10.12691/ajcrr-2-1-4 AJCRR2014214 article Chii-Huei Yu chiihuei@nju.edu.tw 1 Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan This paper uses the mathematical software Maple for the auxiliary tool to study three types of integrals. We can obtain the infinite series forms of these three types of integrals by using integration term by term 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/ajcrr/2/1/4/ajcrr-2-1-4.pdf integralsinfinite series formsintegration term by term theoremMaple