Science and Education Publishing American Journal of Computing Research Repository 2 1 2014 01 14 Studying Three Types of Integrals with Maple 19 21 EN Chii-Huei Yu Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan AJCRR2014214 10.12691/ajcrr-2-1-4 2013 11 22 2013 12 23 2014 01 14 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.