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Proofs Without Words Under the Magic Curve

by Fusun Akman (Coastal Carolina University)

This article originally appeared in:
College Mathematics Journal
January, 2002

Subject classification(s): Calculus | Single Variable Calculus | Integration
Applicable Course(s): 3.1 Mainstream Calculus I

The "magic curve" is \(y=1/x\). Various calculus facts are shown by illustration using Riemann sums for the areas of portions of this curve.

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Capsule Course Topic(s):
One-Variable Calculus | Calculus Functions
One-Variable Calculus | Integration: Motivation and Definition
Sequences and Series | Special Sequences
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