ERIC Number: EJ1175234
Record Type: Journal
Publication Date: 2018
Abstractor: As Provided
Why Does Trigonometric Substitution Work?
Cunningham, Daniel W.
International Journal of Mathematical Education in Science and Technology, v49 n4 p588-593 2018
Modern calculus textbooks carefully illustrate how to perform integration by trigonometric substitution. Unfortunately, most of these books do not adequately justify this powerful technique of integration. In this article, we present an accessible proof that establishes the validity of integration by trigonometric substitution. The proof offers calculus instructors a simple argument that can be used to show their students that trigonometric substitution is a valid technique of integration.
Descriptors: Mathematics Education, Trigonometry, Calculus, Mathematical Concepts, Mathematical Logic, Equations (Mathematics)
Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Authoring Institution: N/A