Method of integration by parts, obtaining patterns as a didactic strategy for learning integral calculus

In this article you will find an analysis of the solutions of some integrals using the method of integration by parts (MIP) as a didactic strategy for learning calculus, different functions of the same family were integrated, varying the exponents, in order to find patterns in the results of the indefinite integral, until reaching a generalization of the solution.This was done with the intention of generating learning and the development of mathematical analysis in the students who took the Integral Calculus course at the Tecnolgico Nacional de Mxico (TecNM) / Instituto Tecnolgico de Matamoros (ITM).