# Riemann integrable

1. May 21, 2006

### math2006

Given a function $$f: [0,1] \to \mathbb{R}$$. Suppose $$f(x) = 0$$ if x is irrational and f(x) = 1/q if x = p/q, where p and q are relatively prime.
Prove that f is Riemann integrable.

Last edited: May 21, 2006
2. May 21, 2006

### Tom Mattson

Staff Emeritus
What have you done so far?