Science and Education Publishing American Journal of Systems and Software 2 1 2014 03 02 Some Types of Integral Problems 22 26 EN Chii-Huei Yu Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan AJSS2014214 10.12691/ajss-2-1-4 2013 12 10 2014 02 19 2014 03 02 This paper uses the mathematical software Maple for the auxiliary tool to study four types of integrals. We can obtain the infinite series forms of these integrals by using binomial theorem and integration term by term theorem. In addition, we propose two 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.