Solving problems with integrals for the study of Archimedes' principle in vector physics

Abstract

The purpose of this article is to analyze the vectorial study of Archimedes' principle using the definite integral, establishing a connection between theoretical concepts and mathematical processes in subjects such as Algebra, Calculus II, Structure of Matter and Educational Evaluation. This is a descriptive demonstrative study, where the analysis is carried out as part of the methodological process of Graduation for High School Teacher (PEM), focusing on the third year of the Physics-Mathematics course. To achieve this, the resolution of problems created by the authors is used as a strategy to link theory with practice. The results obtained through this study contribute to the enrichment of knowledge related to Archimedes' principle and are relevant for both students and teachers interested in deepening their knowledge on this fundamental topic. In addition, this innovative approach fosters the development of critical thinking in new generations of academics, promoting meaningful and applicable learning in physics and mathematics.