RT Conference Proceedings
T1 Teaching improper integrals with CAS
A1 Aguilera-Venegas, Gabriel
A1 Galán-García, José Luis
A1 Galán-García, María Ángeles
A1 Padilla-Domínguez, Yolanda Carmen
A1 Rodríguez, Pedro
A1 Rodríguez, Ricardo
K1 Integrales
AB When teaching how to compute improper integrals, the basic approach to compute such improper integrals is by definition. But, what happens if an antiderivative F for f or the above limits do not exist? the definition procedure cannot be used for these examples. In this talk we will show, as an application of advanced calculus subjects, howto compute this kind of improper integrals using a CAS. Laplace and Fouriertransforms or Residue Theorem in Complex Analysis are some advance techniqueswhich can be used for this matter. As an example of use, we will describe the file ImproperIntegrals.mth,developed in DERIVE 6, which deals with such computations. This utility file wasfirst introduced at TIME 2014 Conference. Some CAS use different rules for computing integrations. For example RUBIsystem, a rule-based integrator developed by Albert Rich, is a very powerfulsystem for computing integrals using rules. We will be able to develop new rulesschemes for some improper integrals using ImproperIntegrals.mth. These newrules can extend the types of improper integrals that a CAS can compute.Finally, we will show some examples that we use with our students which cannot be computed with the basic procedures implemented in CAS. Using the utilityfile ImproperIntegrals.mth, these examples will be easily solved.
YR 2015
FD 2015-07-28
LK http://hdl.handle.net/10630/10179
UL http://hdl.handle.net/10630/10179
LA eng
NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026