Una perspectiva didáctica con GeoGebra de los métodos numéricos para la aproximación de integrales en el cálculo de volúmenes

Abstract

When learning a mathematical concept, the question often arises: What does it symbolize? How does it help me? For this reason, this paper will show the graphical notion of the integral and how to make an approximation of it knowing only how to calculate the area of a rectangle or a trapezoid. Additionally, the use of the integral in the calculation of areas and volumes with the help of GeoGebra resources will be shown. The methodology applied is quantitative and descriptive. And the main conclusion is that GeoGebra is an important tool that facilitates the understanding of the integral reaching the result that this application gives a motivation of how the integral can be related to a real life problem.