Techniques for Evaluating Some Type of Multiple Improper Integral

Abstract

This paper considers some type of multiple improper integral. We can obtain the closed form of this multiple improper integral using differentiation with respect to a parameter and Leibniz rule. On the other hand, some examples are proposed to demonstrate the calculations. The method adopted in this study is to find solutions through manual calculations and verify our answers using Maple. This method not only allows the discovery of calculation errors, but also helps modify the original directions of thinking.
Key Words:
multiple improper integral; closed form; differentiation with respect to a parameter; Leibniz rule; Maple