Application of maple on evaluating multiple improper integrals

This paper uses Maple for the auxiliary tool to study two types of multiple improper integrals. We can obtain the infinite series forms of these multiple improper integrals. Our research way is to count the answers by hand, and then use Maple to verify our results. This research way can not only let us find the calculation errors but also help us to revise the original thinking direction because we can verify the correctness of our theory from the consistency of hand count and Maple calculations.