<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>2007-7467</journal-id>
<journal-title><![CDATA[RIDE. Revista Iberoamericana para la Investigación y el Desarrollo Educativo]]></journal-title>
<abbrev-journal-title><![CDATA[RIDE. Rev. Iberoam. Investig. Desarro. Educ]]></abbrev-journal-title>
<issn>2007-7467</issn>
<publisher>
<publisher-name><![CDATA[Centro de Estudios e Investigaciones para el Desarrollo Docente A.C.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2007-74672022000200006</article-id>
<article-id pub-id-type="doi">10.23913/ride.v13i25.1245</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[La didáctica del cálculo integral: el caso de los procedimientos de integración]]></article-title>
<article-title xml:lang="en"><![CDATA[The Didactic of Integral Calculus: The Case of Integration Procedures]]></article-title>
<article-title xml:lang="pt"><![CDATA[A didática do cálculo integral: o caso dos procedimentos de integração]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Sandoval Hernández]]></surname>
<given-names><![CDATA[Mario. A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Vázquez Leal]]></surname>
<given-names><![CDATA[Héctor]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Huerta Chua]]></surname>
<given-names><![CDATA[Jesús]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Filobello Nino]]></surname>
<given-names><![CDATA[Uriel A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Mayorga Cruz]]></surname>
<given-names><![CDATA[Darwin]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Xalapa  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Consejo Veracruzano de Investigación Científica y Desarrollo Tecnológico  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Tecnológico Nacional de México Instituto Tecnológico Superior de Poza Rica ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Universidad Veracruzana Facultad de Instrumentación Electrónica ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af5">
<institution><![CDATA[,Universidad Autónoma del Estado de Morelos Centro de Investigación en Ingeniería y Ciencias Aplicadas ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2022</year>
</pub-date>
<volume>13</volume>
<numero>25</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2007-74672022000200006&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2007-74672022000200006&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2007-74672022000200006&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En el presente artículo se analizan algunos procedimientos adicionales para la solución de integrales que complementan la manera tradicional de enseñanza en el cálculo integral. Dado que el contenido de los libros de cálculo solo se enfoca en ciertos procedimientos, que se ven plasmados dentro del aula, se propone, en primer lugar, una ampliación del formulario básico de cálculo integral adicionando las funciones Lambert W y las funciones Leal recientemente publicadas. En segundo lugar, se propone una guía didáctica para la solución de integrales por partes. Además, en este trabajo se presentan el método de integración Hermite-Ostrogradsky y el método para integrales de funciones irracionales. Ambos métodos pueden considerarse como una extensión de la integración por fracciones parciales y de la sustitución trigonométrica por cambio de variable; así, se evita el discurso matemático escolar. Como objetivo, se exponen procedimientos facilitadores y novedosos en la didáctica del cálculo integral para estudiantes del nivel medio superior y superior.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This article presents some additional procedures in solving integrals to those generally presented in calculus books and in the classroom. In the first place, an extension of the basic integral calculus form is proposed by adding the Lambert W and trascendental Leal functions. Second, we propose a didactic solution guide for the solution of integrals by parts. In this work. The Hermite-Ostrogradsky integration methods and the German method for integrals of irrational functions are presented. Both methods can be considered as an extension of the integration by partial fractions and of the trigonometric substitution by change of variable, thus avoiding the school math speech.]]></p></abstract>
<abstract abstract-type="short" xml:lang="pt"><p><![CDATA[Resumo Este artigo analisa alguns procedimentos adicionais para a resolução de integrais que complementam a forma tradicional de ensino de cálculo integral. Dado que o conteúdo dos livros de cálculo se concentra apenas em determinados procedimentos, que são refletidos em sala de aula, propõe-se, em primeiro lugar, uma extensão da forma básica de cálculo integral adicionando as funções W de Lambert e o recém-publicado Leal funções. Em segundo lugar, é proposto um guia didático para a solução de integrais por partes. Além disso, neste trabalho são apresentados o método de integração de Hermite-Ostrogradsky e o método para integrais de funções irracionais. Ambos os métodos podem ser considerados como uma extensão da integração por frações parciais e substituição trigonométrica por mudança de variável; assim, evita-se o discurso matemático escolar. Como objetivo, são expostos procedimentos facilitadores e inovadores na didática do cálculo integral para alunos do ensino médio e superior.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[discurso matemático escolar]]></kwd>
<kwd lng="es"><![CDATA[formulario de cálculo integral]]></kwd>
<kwd lng="es"><![CDATA[funciones primitivas]]></kwd>
<kwd lng="es"><![CDATA[integración por partes]]></kwd>
<kwd lng="es"><![CDATA[técnicas de integración]]></kwd>
<kwd lng="en"><![CDATA[school math speech]]></kwd>
<kwd lng="en"><![CDATA[integration formulas]]></kwd>
<kwd lng="en"><![CDATA[primitive function]]></kwd>
<kwd lng="en"><![CDATA[integration by parts]]></kwd>
<kwd lng="en"><![CDATA[integration techniques]]></kwd>
<kwd lng="pt"><![CDATA[discurso matemático escolar]]></kwd>
<kwd lng="pt"><![CDATA[forma de cálculo integral]]></kwd>
<kwd lng="pt"><![CDATA[funções primitivas]]></kwd>
<kwd lng="pt"><![CDATA[integração por partes]]></kwd>
<kwd lng="pt"><![CDATA[técnicas de integração]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Aguilar]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Bravo]]></surname>
<given-names><![CDATA[F. V.]]></given-names>
</name>
<name>
<surname><![CDATA[Gallegos]]></surname>
<given-names><![CDATA[H. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Cerón]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Reyes]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Cálculo diferencial e integral]]></source>
<year>2010</year>
<publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Prentice Hall]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ambardar]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Analog and Digital Signal Processing]]></source>
<year>1999</year>
<publisher-name><![CDATA[Brooks Cole Publishing Company]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Anderson]]></surname>
<given-names><![CDATA[D. R.]]></given-names>
</name>
<name>
<surname><![CDATA[Sweeney]]></surname>
<given-names><![CDATA[D. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Williams]]></surname>
<given-names><![CDATA[T. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Estadística para administración y economía]]></source>
<year>2008</year>
<edition>10</edition>
<publisher-loc><![CDATA[Ciudad de México, México ]]></publisher-loc>
<publisher-name><![CDATA[Cengage Learning]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Astey]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<source><![CDATA[Cálculo diferencial (Conalep)]]></source>
<year>2009</year>
<publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Limusa]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ayres]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Mendelson]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<source><![CDATA[Cálculo diferencial e integral]]></source>
<year>1994</year>
<edition>3</edition>
<publisher-name><![CDATA[McGraw-Hill]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Barnett]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Álgebra con geometría analítica y trigonometría]]></source>
<year>1994</year>
<publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Limusa]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Barnett]]></surname>
<given-names><![CDATA[R. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Ziegler]]></surname>
<given-names><![CDATA[M. R.]]></given-names>
</name>
<name>
<surname><![CDATA[Byleen]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<source><![CDATA[Precálculo: funciones y gráficas]]></source>
<year>2012</year>
<publisher-name><![CDATA[McGraw-Hill]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Boylestad]]></surname>
<given-names><![CDATA[R. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Nashelsky]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<source><![CDATA[Electrónica: teoría de circuitos y dispositivos electrónicos]]></source>
<year>2003</year>
<edition>8</edition>
<publisher-loc><![CDATA[Naucalpan de Juárez, México ]]></publisher-loc>
<publisher-name><![CDATA[Prentice Hall]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cantoral]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Montiel]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Reyes]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Análisis del discurso matemático escolar en los libros de texto, una mirada desde la teoría socioepistemológica]]></article-title>
<source><![CDATA[Avances de Investigación en Educación Matemática]]></source>
<year>2015</year>
<numero>8</numero>
<issue>8</issue>
<page-range>9-28</page-range></nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Corless]]></surname>
<given-names><![CDATA[R. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Gonnet]]></surname>
<given-names><![CDATA[G. H.]]></given-names>
</name>
<name>
<surname><![CDATA[Hare]]></surname>
<given-names><![CDATA[D. E.]]></given-names>
</name>
<name>
<surname><![CDATA[Jeffrey]]></surname>
<given-names><![CDATA[D. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Knuth]]></surname>
<given-names><![CDATA[D. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On the LambertW function]]></article-title>
<source><![CDATA[Advances in Computational Mathematics]]></source>
<year>1996</year>
<volume>5</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>329-59</page-range></nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[W. W.]]></surname>
<given-names><![CDATA[Daniel]]></given-names>
</name>
</person-group>
<source><![CDATA[Bioestadística. Base para el análisis de las ciencias de la salud]]></source>
<year>1987</year>
<edition>3</edition>
<publisher-loc><![CDATA[Ciudad de México, México ]]></publisher-loc>
<publisher-name><![CDATA[Limusa]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[D&#8217;Azzo]]></surname>
<given-names><![CDATA[J. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Houpis]]></surname>
<given-names><![CDATA[C. H.]]></given-names>
</name>
</person-group>
<source><![CDATA[Linear Control System Analysis and Design: Conventional and Modern]]></source>
<year>1995</year>
<edition>4</edition>
<publisher-name><![CDATA[McGraw-Hill]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Del Hoyo]]></surname>
<given-names><![CDATA[M. B.]]></given-names>
</name>
<name>
<surname><![CDATA[Muto]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
</person-group>
<source><![CDATA[Fundamentos matemáticos de la ingeniería]]></source>
<year>2001</year>
<publisher-loc><![CDATA[España ]]></publisher-loc>
<publisher-name><![CDATA[Editorial de la Universidad del País Vasco]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Demidovich]]></surname>
<given-names><![CDATA[B. P.]]></given-names>
</name>
<name>
<surname><![CDATA[Aparicio]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<source><![CDATA[5000 problemas de análisis matemático]]></source>
<year>2001</year>
<publisher-loc><![CDATA[Madrid, España ]]></publisher-loc>
<publisher-name><![CDATA[Thomson]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Edwards]]></surname>
<given-names><![CDATA[C. H.]]></given-names>
</name>
<name>
<surname><![CDATA[Penney]]></surname>
<given-names><![CDATA[D. E.]]></given-names>
</name>
</person-group>
<source><![CDATA[Cálculo]]></source>
<year>2007</year>
<publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Pearson Educación]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fox]]></surname>
<given-names><![CDATA[W. P.]]></given-names>
</name>
</person-group>
<source><![CDATA[Mathematica Modeling with Maple]]></source>
<year>2011</year>
<publisher-name><![CDATA[Nelson Education]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Garza]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[Cálculo diferencial: matemáticas IV. Colección DGETI]]></source>
<year>1990</year>
<publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Dirección General de Educación Tecnológica Industrial]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Garza]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[Cálculo integral]]></source>
<year>2017</year>
<publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Prentice Hall]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gómez]]></surname>
<given-names><![CDATA[J. L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Técnicas alternativas para el cálculo de fracciones parciales]]></article-title>
<source><![CDATA[El Cálculo y su Enseñanza, Enseñanza de las Ciencias y la Matemática]]></source>
<year>2017</year>
<volume>9</volume>
<page-range>24-41</page-range></nlm-citation>
</ref>
<ref id="B20">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Leithold]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<source><![CDATA[El cálculo]]></source>
<year>2012</year>
<edition>7</edition>
<publisher-loc><![CDATA[Ciudad de México, México ]]></publisher-loc>
<publisher-name><![CDATA[Oxford University Press-Harla México]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B21">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lie]]></surname>
<given-names><![CDATA[K.-A.]]></given-names>
</name>
</person-group>
<source><![CDATA[An Introduction to Reservoir Simulation Using MATLAB/GNU Octave]]></source>
<year>2019</year>
<publisher-loc><![CDATA[Cambridge, United Kingdom ]]></publisher-loc>
<publisher-name><![CDATA[Cambridge University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B22">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lizama]]></surname>
<given-names><![CDATA[F. M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Cálculo integral. Colección DGETI]]></source>
<year>2005</year>
<publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Fondo de Cultura Económica]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B23">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mateus]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Análisis didáctico a un proceso de instrucción del método de integración por partes]]></article-title>
<source><![CDATA[Boletim de Educação Matemática]]></source>
<year>2016</year>
<volume>30</volume>
<numero>55</numero>
<issue>55</issue>
<page-range>559-85</page-range></nlm-citation>
</ref>
<ref id="B24">
<nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mora]]></surname>
<given-names><![CDATA[J. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Investigaciones en clase de matemáticas con GeoGebra]]></source>
<year>2018</year>
<conf-name><![CDATA[ XIIIJornades d&#8217;Educació Matemàtica de la Comunittat Valenciana]]></conf-name>
<conf-date>19 y 20 de octubre de 2018</conf-date>
<conf-loc>San Vicente del Raspeig </conf-loc>
</nlm-citation>
</ref>
<ref id="B25">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ogata]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<source><![CDATA[Ingeniería de control moderna]]></source>
<year>2003</year>
<edition>4</edition>
<publisher-loc><![CDATA[Madrid, España ]]></publisher-loc>
<publisher-name><![CDATA[Prentice Hall]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B26">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Purcell]]></surname>
<given-names><![CDATA[E. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Varberg]]></surname>
<given-names><![CDATA[D. E.]]></given-names>
</name>
<name>
<surname><![CDATA[Rigdon]]></surname>
<given-names><![CDATA[S. E.]]></given-names>
</name>
</person-group>
<source><![CDATA[Cálculo]]></source>
<year>2007</year>
<edition>9</edition>
<publisher-loc><![CDATA[Naucalpan de Juárez, México ]]></publisher-loc>
<publisher-name><![CDATA[Pearson Educación]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B27">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sandoval]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Alvarez]]></surname>
<given-names><![CDATA[O.]]></given-names>
</name>
<name>
<surname><![CDATA[Contreras]]></surname>
<given-names><![CDATA[A. D.]]></given-names>
</name>
<name>
<surname><![CDATA[Pretelin]]></surname>
<given-names><![CDATA[J. E.]]></given-names>
</name>
<name>
<surname><![CDATA[Palma]]></surname>
<given-names><![CDATA[B. E.]]></given-names>
</name>
<name>
<surname><![CDATA[Jimenez]]></surname>
<given-names><![CDATA[V. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Filobello]]></surname>
<given-names><![CDATA[U.]]></given-names>
</name>
<name>
<surname><![CDATA[Pereyra]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Hernandez]]></surname>
<given-names><![CDATA[S. F.]]></given-names>
</name>
<name>
<surname><![CDATA[Sampieri]]></surname>
<given-names><![CDATA[C. E.]]></given-names>
</name>
<name>
<surname><![CDATA[González]]></surname>
<given-names><![CDATA[F. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Castaneda]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Hernandez]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Matias]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Cuellar]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Hoyos]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Cervantes]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Varela]]></surname>
<given-names><![CDATA[L. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Vázquez]]></surname>
<given-names><![CDATA[J. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Gil]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Fernández]]></surname>
<given-names><![CDATA[J. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Bagatella]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Vazquez]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Exploring the Classic Perturbation Method for Obtaining Single and Multiple Solutions of Nonlinear Algebraic Problems with Application to Microelectronic Circuits]]></article-title>
<source><![CDATA[International Journal of Engineering Research &amp; Technology]]></source>
<year>2019</year>
<volume>8</volume>
<numero>9</numero>
<issue>9</issue>
<page-range>636-45</page-range></nlm-citation>
</ref>
<ref id="B28">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sandoval]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Vazquez]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Filobello]]></surname>
<given-names><![CDATA[U.]]></given-names>
</name>
<name>
<surname><![CDATA[Hernandez]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[New handy and accurate approximation for the Gaussian integrals with applications to science and engineering]]></article-title>
<source><![CDATA[Open Mathematics]]></source>
<year>2019</year>
<volume>17</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>1774-93</page-range></nlm-citation>
</ref>
<ref id="B29">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sandoval]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Hernández]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Torreblanca]]></surname>
<given-names><![CDATA[S. E.]]></given-names>
</name>
<name>
<surname><![CDATA[Díaz]]></surname>
<given-names><![CDATA[G. U.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Actualización de contenidos en el campo disciplinar de matemáticas del componente propedéutico del bachillerato tecnológico: el caso de las funciones especiales]]></article-title>
<source><![CDATA[RIDE Revista Iberoamericana para la Investigación y el Desarrollo Educativo]]></source>
<year>2021</year>
<volume>12</volume>
<numero>23</numero>
<issue>23</issue>
</nlm-citation>
</ref>
<ref id="B30">
<nlm-citation citation-type="journal">
<collab>Secretaría de Educación Pública [SEP]</collab>
<article-title xml:lang=""><![CDATA[Acuerdo número 653 por el que se establece el Plan de Estudios del bachillerato tecnológico]]></article-title>
<source><![CDATA[Diario Oficial de la Federación]]></source>
<year>2012</year>
</nlm-citation>
</ref>
<ref id="B31">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Soto]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Gómez]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Silva]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Cordero]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Exclusión, cotidiano e identidad: una problemática fundamental del aprendizaje de la matemática]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Flores]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Acta Latinoamericana de Matemática Educativa]]></source>
<year>2012</year>
<page-range>1041-8</page-range><publisher-loc><![CDATA[Ciudad de México, México ]]></publisher-loc>
<publisher-name><![CDATA[Colegio Mexicano de Matemática Educativa-Comité Latinoamericano de Matemática Educativa]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B32">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Soto]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Cantoral]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Discurso matemático escolar y exclusión. Una visión socioepistemológica]]></article-title>
<source><![CDATA[Boletim de Educação Matemática]]></source>
<year>2014</year>
<volume>28</volume>
<numero>50</numero>
<issue>50</issue>
<page-range>1525-44</page-range></nlm-citation>
</ref>
<ref id="B33">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Spiegel]]></surname>
<given-names><![CDATA[M. R.]]></given-names>
</name>
<name>
<surname><![CDATA[Stephens]]></surname>
<given-names><![CDATA[L. J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Estadística]]></source>
<year>2009</year>
<edition>4</edition>
<publisher-loc><![CDATA[Ciudad de México, México ]]></publisher-loc>
<publisher-name><![CDATA[McGraw-Hill]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B34">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Stewart]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Single Variable Calculus: Early Transcendentals]]></source>
<year>2012</year>
<edition>7</edition>
<publisher-loc><![CDATA[United States ]]></publisher-loc>
<publisher-name><![CDATA[Cengage Learning]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B35">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Stewart]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Calculus]]></source>
<year>2015</year>
<edition>8</edition>
<publisher-loc><![CDATA[Boston, United States ]]></publisher-loc>
<publisher-name><![CDATA[Cengage Learning]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B36">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Stewart]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Redlin]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Watson]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<source><![CDATA[Precálculo. Matemáticas para el cálculo]]></source>
<year>2007</year>
<edition>5</edition>
<publisher-loc><![CDATA[Ciudad de México, México ]]></publisher-loc>
<publisher-name><![CDATA[Cengage Learning]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B37">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Swokowski]]></surname>
<given-names><![CDATA[E. W.]]></given-names>
</name>
</person-group>
<source><![CDATA[Cálculo con geometría analítica]]></source>
<year>1989</year>
<publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Grupo Editorial Iberoamérica]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B38">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Thomas]]></surname>
<given-names><![CDATA[G. B.]]></given-names>
</name>
<name>
<surname><![CDATA[Finney]]></surname>
<given-names><![CDATA[R. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Weir]]></surname>
<given-names><![CDATA[M. D.]]></given-names>
</name>
<name>
<surname><![CDATA[Giordano]]></surname>
<given-names><![CDATA[F. R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Thomas' Calculus. Reading]]></source>
<year>2003</year>
<publisher-loc><![CDATA[United States ]]></publisher-loc>
<publisher-name><![CDATA[Addison-Wesley]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B39">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Torres]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Aplicaciones con VBA con Excel]]></source>
<year>2016</year>
<publisher-loc><![CDATA[Lima, Perú ]]></publisher-loc>
<publisher-name><![CDATA[Alfaomega, Macro]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B40">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Vazquez]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Sandoval]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Garcia]]></surname>
<given-names><![CDATA[J. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Herrera]]></surname>
<given-names><![CDATA[A. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Filobello]]></surname>
<given-names><![CDATA[U. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[PSEM Approximations for Both Branches of Lambert Function with Applications. Discrete Dynamics in Nature and Society]]></source>
<year>2019</year>
</nlm-citation>
</ref>
<ref id="B41">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Vazquez]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Sandoval]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Filobello]]></surname>
<given-names><![CDATA[U.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The novel family of transcendental Leal-functions with applications to science and engineering]]></article-title>
<source><![CDATA[Heliyon]]></source>
<year>2020</year>
<volume>6</volume>
<numero>11</numero>
<issue>11</issue>
</nlm-citation>
</ref>
<ref id="B42">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zill]]></surname>
<given-names><![CDATA[D. G]]></given-names>
</name>
</person-group>
<source><![CDATA[Cálculo con geometría analítica]]></source>
<year>1987</year>
<publisher-loc><![CDATA[México ]]></publisher-loc>
<publisher-name><![CDATA[Grupo Editorial Iberoamérica]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
