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Given a function [tex]f: [0,1] \to \mathbb{R}[/tex]. Suppose [tex]f(x) = 0[/tex] 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.

Prove that f is Riemann integrable.

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