Analysis of notable trigonometric integrals

Abstract

Introduction. The calculation of trigonometric integrals is a process that involves the use of some integration techniques, for this you must be clear about the procedures to follow and be very observant when choosing the appropriate integration technique Objective. We want to simplify the calculation of the notable trigonometric integral. Methodology. To understand this methodology, it is necessary to know some concepts that are around the trigonometric functions to be integrated, such as the periodicity of a function, its parity (even or odd function), and that the integrals are evaluated in the limits corresponding to the intervals of the periodicity, we will call this type of integrals notable integrals since it is not strictly necessary to evaluate them by integration processes but rather their result is deduced from the aforementioned concepts. Results. Although it is true that the aforementioned integrals can be found solved, the intention of this analysis is to show that the result of these integrals is easy to remember in communion with the concepts mentioned in a mechanical and simple way.