Why Isn't There an Inverse Quotient Rule?

Abstract

When learning Calculus, students are taught how to undo the Chain Rule through u-Substitution and may have been introduced to Integration by Parts as a way to undo the Product Rule. This paper describes analogous integration techniques to undo the Quotient Rule and argues that the “Inverse Quotient Rule” is a worthwhile technique to teach in Integral Calculus. An appendix includes 26 textbook-style exercises for interested students.