Solving Real Integrals Using Complex Integrals

Abstract

In this article, we study two types of real integrals of trigonometric functions. The closed forms of the two types of real integrals can be obtained using complex integrals. In addition, some examples are proposed to do a calculation practically. Simultaneously, Maple is used to calculate the approximations of some definite integrals and their solutions for verifying our answers.
Key Words: real integrals; trigonometric functions; closed forms; complex integrals; Maple