Mathematics in Education, Research and Applications (MERAA), 2022(8), 1
Back to Content
-
Published online 2022-12-31
DOI:https://doi.org/10.15414/meraa.2022.08.01.16-23
Evaluation of specific integrals by differentiation – part 3
Norbert Kecskés
Slovak University of Agriculture in Nitra, Faculty of Economics and Management, Institute of Statistics, Operations Research and Mathematics
Article Fulltext (PDF), pp. 16–23
- The technique of integration (anti-differentiation) represents one of the most important techniques in calculus. While its counterpart, differentiation, is a routine and relatively simple procedure,
integration, in general, is a much more involving task. The inverse relationship between differentiation and anti-differentiation (evaluation of indefinite integrals) in some
particular cases reveals the possibility to derive the form of the antiderivative and evaluate this antiderivative by differentiation and subsequent comparison of coefficients.
This paper is a sequel to previous author’s papers and deals with some other types of elementary functions whose indefinite integrals can be, at least partly,
evaluated by differentiation and comparison of coefficients.
- Keywords: higher mathematics, differentiation, integration, undetermined coefficients
- JEL Classification: I20, C20