Application of Maple on Evaluation of Definite Integrals

Abstract

This study uses the mathematical software Maple for the auxiliary tool to evaluate two types of definite integrals. We can determine the closed forms of these two types of definite integrals by using Leibniz differential rule and differentiation with respect to a parameter. At the same time, we provide some definite integrals 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. Therefore, Maple provides insights and guidance regarding problem-solving methods.