Resumen de The fundamental theorem of calculus within a geometric context based on Barrow's work

Juan Carlos Ponce Campuzano, Miguel Ángel Maldonado Aguilar

• The two main processes of calculus are integration and differentiation. These two processes are intimately related by being reciprocal to each other. This fact constitutes the fundamental theorem of calculus (FTC). In the present article, we explore this important theorem within a geometric context, based on Isaac Barrow's work from the seventeenth century. We argue that presenting and discussing the origins and development of the FTC is beneficial for first-year calculus courses.