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Using Feynman's technique to calculate an integral Maple could not cope with

HLAVIČKOVÁ, I. Using Feynman's technique to calculate an integral Maple could not cope with. Mathematics, Information Technologies and Applied Sciences 2024, post-conference proceedings of extended versions of selected papers. Brno: Univerzita obrany, 2024. p. 38-46. ISBN: 978-80-7582-543-8.
Type
conference paper
Language
English
Authors
Hlavičková Irena, Mgr., Ph.D., UMAT (FEEC)
Abstract

In this paper, we present a computation of an integral for which the primitive function cannot be written with help of elementary functions. The aim is to calculate the definite integral from minus infinity to infinity. Powerful mathematical software, such as Maple, fails to determine the precise value of this integral, but using the so called Feynman’s technique which combines integration and differentiation leads to success.

Keywords

integral, error function, Maple

URL
Published
2024
Pages
38–46
Proceedings
Mathematics, Information Technologies and Applied Sciences 2024, post-conference proceedings of extended versions of selected papers
Conference
MITAV 2024
ISBN
978-80-7582-543-8
Publisher
Univerzita obrany
Place
Brno
BibTeX 
@inproceedings{BUT197054,
  author="Irena {Hlavičková}",
  title="Using Feynman's technique to calculate an integral Maple could not cope with",
  booktitle="Mathematics, Information Technologies and Applied Sciences 2024, post-conference proceedings of extended versions of selected papers",
  year="2024",
  pages="38--46",
  publisher="Univerzita obrany",
  address="Brno",
  isbn="978-80-7582-543-8",
  url="http://mitav.unob.cz"
}
Departments
Department of Mathematics (UMAT)
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