Keywords
substitution method
Engineering
How to Cite
Abstract
The present work consists of a solution of exercises proposed in the book Differential and Integral Calculus, Seventh Edition, McGraw Hill, corresponding to indefinite integrals applying the Method of Substitution and Change of Variable. So that the students of sciences and engineering can have an additional document that allows them to speed up the learning process corresponding to the resolution of this integral type where the most significant contribution to the demonstration of the obtained results is through the inverse process called Derivation. To develop skills in the students, such as empowerment of the need to verify a result in a mathematical operation, as well as to consolidate the existing links between Integral and Differential Calculus as inverse operations.
References
[2] G. G. Talavera, Problemas de cálculo diferencial e integral, Ciudad de México: Instituto Politécnico Nacional, 2010.
[3] W. V. Bastidas, Cálculo Integral: la integral indefinida y métodos de integración, Santa Marta: Editorial Unimagdalena, 2014.
[4] G. G. Torres, Cálculo integral: Serie Universitaria Patria, Ciudad de México: Grupo Editorial Patria, 2015.
[5] S. E. G. Calderón, B. E. L. Silva y P. T. Salazar, Cálculo integral, Ciudad de México: Grupo Editorial Éxodo, 2012.
[6] F. Cerecedo, J. O. Campos y F. J. Ortiz, Cálculo integral, Ciudad de México: Grupo Editorial Patria, 2015.
[7] E. H. Sastoque, E. E. Caballero y W. V. Bastidas, Técnicas de integración en el cálculo integral, 1 ed., Santa Marta: Editorial Unimagdalena, 2022.
[8] F. M. Téllez, M. P. C. Uribe y C. A. I. Salomón, Cálculo integral, 4a. ed. ed., Ciudad de México: Grupo Editorial Éxodo, 2019.
[9] J. M. Fernández Barroso y J. A. Fernández Muriel, Cálculo de integrales: principales métodos y ejercicios resueltos, Madrid: Editorial Tébar Flores, 2021.
[10] J. J. L. G. Guio, J. P. Cardona y J. C. C. Vásquez, Cálculo integral: técnicas de integración, Bogotá: Ediciones de la U, 2016.
This work is licensed under a Creative Commons Attribution 4.0 International License.