A Subtle Integral? (Open)

Summary: A self-contained proof is given for the value of an integral involving a function $f$ satisfying $f(x)^a - f(x)^b = x^a = x^b$. A geometric proof is requested.

Classification: Primary, classical analysis; Secondary, integrals

Jonathan Borwein
Faculty of Computer Science
Dalhousie University
Halifax, NS
Canada B3H2W5
e-mail: jborwein@cs.dal.ca

Marc Chamberland
Department of Mathematics and Computer Science
Grinnell College
Grinnell, IA 50112
e-mail: chamberl@math.grinnell.edu

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