Solving Integral Problems Using Two Theorems of Cauchy

Abstract

In this paper, we study two types of definite integrals. The closed forms of the two types of definite integrals can be determined by using two theorems of Cauchy. Moreover, some examples are provided to do calculation practically. The research method adopted in this study is to find solutions through manual calculations and verify our answers 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.