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.
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Edison Hauptman (2024) studied this question.
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