Hostname: page-component-cb9f654ff-qc88w Total loading time: 0 Render date: 2025-08-21T08:49:42.761Z Has data issue: false hasContentIssue false
  • English
  • Français

Integrating expressions of the form and others

Published online by Cambridge University Press:  23 January 2015

J. Trainin
J. Trainin*
Affiliation:
Edificio La Roca 27, Paseo del Altillo 11, 18690 Almuñécar, Granada, Spain
Get access Rights & Permissions [Opens in a new window]

Extract

In an earlier communication to the Gazette [1], the authors in effect showed, in a somewhat complicated manner, how to evaluate the integral One can show in a simpler manner, however, how to evaluate, for integers n and m, a more general integral of the form where n ≥ m, provided that if m = 1, then n is odd.

In addition, the final section to this article shows how to extend the procedure to include integrals for which m does not even have to be an integer, and also how to integrate where such an integral converges.

Information

Type
Articles
Information
The Mathematical Gazette , Volume 94 , Issue 530 , July 2010 , pp. 216 - 223
Copyright
Copyright © The Mathematical Association 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

1. Luo, Qiu-Ming, Guo, Bai-ni and Qi, Feng, Evaluation of a class of improper integrals of the first kind, Math. Gaz. 87 (November 2003) pp. 534–539.CrossRefGoogle Scholar
2. Weisstein, Eric W., “Frullani's Integral“, MathWorld, http:/mathworld.wolfram.com/FrullanisIntegral.html Google Scholar
3. Abramowitz, & Stegun, , Handbook of mathematical functions (table of definite integrals), Dover (1974).Google Scholar
4. Volkovyskii, Lunts & Aramanovich, , A collection of problems on complex analysis, Dover (1991) Problem 873.Google Scholar