A Study on the Multiple Improper Integral Problems with Maple

摘要

This paper uses the mathematical software Maple for the auxiliary tool to study the evaluation of two types of multiple improper integrals. We can obtain the infinite series forms of these two types of multiple improper integrals, and we propose four 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. This type of research method not only allows the discovery of calculation errors, but also helps modify the original directions of thinking from manual and Maple calculations. For this reason, Maple provides insights and guidance regarding problem-solving methods.