Why does trigonometric substitution work?
-
Daniel W. Cunningham [1]
-
[1] SUNY Buffalo State
-
- Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 49, Nº. 4, 2018, págs. 588-593
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
-
Resumen
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.
¿Es nuevo? Regístrese
Ventajas de registrarse
