Integral-Free Antiderivatives

by Ken Monks 

Abstract: 

The pedagogical benefits of replacing the traditional notation for the indefinite integral of a function of a single variable, \int f(x) dx, with the simpler notation, `f, are discussed. Expositional and computational improvements due to this notational change in a traditional calculus course setting are illustrated. Most notably, the integration by parts technique is simplified and enhanced by the use of a product rule for antiderivatives. Also, the various substitution techniques are unified under a single method. 

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This page was last  updated on Sunday, May 28, 2000 08:08:18 PM. © Ken Monks