Applying change of variable to calculus problems

Kachapova, F; Kachapov, I

doi:10.1080/0020739X.2010.526251

Kachapova, F; Kachapov, I

Abstract

The paper describes the technique of introducing a new variable in some calculus problems that helps students to master the skills of integration and evaluating limits. This technique is algorithmic and easy to apply; it is especially useful in teaching weak students.

Keywords

Change of variable; Substitution; Limit; Quadratic; Completing the square; Integration technique

Date

2011

Source

International Journal of Mathematical Education in Science and Technology, Vol. 42 (3), pp.388 - 396.

Item Type

Journal Article

Publisher

Taylor & Francis

DOI

10.1080/0020739X.2010.526251

Publisher's Version

http://dx.doi.org/10.1080/0020739X.2010.526251

Rights Statement

Copyright © 2011 Taylor & Francis. This is a preprint of an article whose final and definitive form has been published in the International Journal of Mathematical Education in Science and Technology and is available online at: www.tandfonline.com with the open URL of your article (see Publisher’s Version)