## 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

**Download Problem**[PDF]

**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