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Proof Without Words: Look Ma, No Substitution

by Marc Chamberland (Grinnell College)

This article originally appeared in:
Mathematics Magazine
February, 2001

Subject classification(s): Calculus | Single Variable Calculus | Integration
Applicable Course(s): 3.0 Calculus | 3.2 Mainstream Calculus II | 3.5 Non-mainstream Calc II

A visual verification of the value of the definite integral of the square root of \(1-x^2\) from \(a\) to \(1\).

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