Studying the Problems of Multiple Integrals with Maple

Abstract

In this article, we use Maple for the auxiliary tool to study two types of multiple integrals. The infinite series forms of the two types of multiple integrals can be obtained mainly using binomial series and integration term by term theorem. Moreover, some examples are proposed to demonstrate the calculations, and we use Maple to calculate the approximations of some multiple integrals and their infinite series forms for verifying our answers.
Key Words: Maple; multiple integrals; infinite series forms; binomial series; integration term by term theorem