Abstract

SANDOVAL HERNANDEZ, Mario. A. et al. The Didactic of Integral Calculus: The Case of Integration Procedures. RIDE. Rev. Iberoam. Investig. Desarro. Educ [online]. 2022, vol.13, n.25, e006.  Epub Oct 03, 2022. ISSN 2007-7467.  https://doi.org/10.23913/ride.v13i25.1245.

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.

Keywords : school math speech; integration formulas; primitive function; integration by parts; integration techniques.