Application of Complex Integral on Solving Some Integral Problems of Trigonometric Functions

Abstract

This paper uses the mathematical software Maple for the auxiliary tool to study two types of integral problems of trigonometric functions. We can obtain the closed forms of the two types of integrals using a complex integral formula. In addition, we propose two related integrals and calculate their definite integrals practically. Our research method is to find solutions through manual calculations and verify these solutions using Maple. This type of research method not only allows the discovery of calculation errors, but also helps modify the original directions of thinking.