Abstract
The multiple integral problem is closely related with probability theory and quantum field theory. This paper uses the mathematical software Maple for the auxiliary tool to study two types of multiple integrals. We can obtain the infinite series forms of these two types of multiple integrals by using integration term by term theorem. In addition, we provide some 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.
Highlights
The computer algebra system (CAS) has been widely employed in mathematical and scientific studies
The multiple integral problem is closely related with probability theory and quantum field theory, and can refer to [8,9]
The multiple integral problem is important in probability theory and quantum field theory
Summary
The computer algebra system (CAS) has been widely employed in mathematical and scientific studies. The multiple integral problem is closely related with probability theory and quantum field theory, and can refer to [8,9]. For this reason, the evaluation and numerical calculation of multiple integrals is important. For the study of related multiple integral problems can refer to [10,11,12,13,14,15,16,17,18,19,20,21,22,23]. The research methods adopted in this study involved finding solutions through manual calculations and verifying these solutions by using Maple. Maple provides insights and guidance regarding problem-solving methods
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