eng Science and Education Publishing International Journal of Data Envelopment Analysis and *Operations Research* 2328-4110 2014-06-26 1 2 16 20 10.12691/ijdeaor-1-2-1 IJDEAOR2014121 article Chii-Huei Yu chiihuei@nju.edu.tw 1 Shinn-Der Sheu 2 Department of Management and Information, Nan Jeon University of Science and Technology, Tainan City, Taiwan Department of Information Technology, Nan Jeon University of Science and Technology, Tainan City, Taiwan This paper studies six types of double integrals and uses Maple for verification. The infinite series forms of these double integrals can be obtained using Taylor series expansions and integration term by term theorem. In addition, some examples are used to demonstrate the calculations. http://pubs.sciepub.com/ijdeaor/1/2/1/ijdeaor-1-2-1.pdf double integrals infinite series forms Taylor series expansions integration term by term theorem Maple