# Equality of integrals

i don't know where to start on this problem. could someone help me please? thanks.

let $$f: A -> R$$ be an integrable function, where A is a rectangle. If g = f at all but a finite number of points, show that g is integrable and $$\int_{A}f = \int_{A}g.$$

Hurkyl
Staff Emeritus
let $$f: A -> R$$ be an integrable function, where A is a rectangle. If g = f at all but a finite number of points, show that g is integrable and $$\int_{A}f = \int_{A}g.$$