Integral imprópria e funções Eulerianas

Abstract

This document contains the definitions and classifications of Improper Integrals (first, second and third kind), demonstration of some theorems used to test for convergence and divergence of Improper Integrals (comparison test, test quotient ...), some applications of Improper Integrals in various areas (statistics, economy,...). It also contains the definition and demonstration of Eulerian Functions , i.e., Gamma function and Beta function, which are applications of Improper Integrals. This document also contains simple approach themes of Laplace transform and Dirichlet integrals.