O teorema fundamental do cálculo e aplicações.

Abstract

In this paper, we will discuss the Fundamental Theorem of Calculus and present— demonstration, as well as the properties related to the integrability of a occupation. We will adopt a point of view focused on Real Analysis,

necessary to present all the rigor and formalization, which are required by the concepts considered most important. We will present the integral in the sense of Riemann, in

worrying only with the so-called upper and lower sums. For this purpose, we will make constant use of the properties related to minuscule and supreme, these being, therefore, fundamental for the development of the analyzes to be made, throughout of this work, we will end with two applications, which we think are important, to emphasize the importance of the Fundamental Theorem of Calculus.