Explorando as integrais múltiplas com GeoGebra: uma abordagem visual e interativa

Abstract

The present study has as its theme the exploration of multiple integrals using the software Geogebra. For this, a brief introduction is made about the Differential Integral Calculus, as well as the difficulties faced for the study of this subject nowadays. In undergraduate courses, the study of multiple integrals is characterized as an abstract process and difficult to graphically represent in classroom with conventional materials, creating difficulties in the subjects that deal with such topic. In view of this, this study developed a manual where the steps for the elaboration of three-dimensional graphs and geometric solids with rectangular bases are explained, followed by examples of multiple integrals using Geogebra. Simple cases of double integrals are explored, as well as more complex cases where techniques such as variable change and polar coordinates are used. At the end of each problem, a comparative analysis is performed between the results obtained in Geogebra and traditional methods of solving multiple integrals. Geogebra has numerous applications and, if used appropriately, can play a significant role in facilitating the teaching of more complex subjects, contributing positively to improve pedagogical practices in undergraduate courses.