# continuous functions are Riemann integrable

Let $f\colon[a,b]\to\mathbb{R}$ be a continuous function. Then $f$ is Riemann integrable.

Title continuous functions are Riemann integrable ContinuousFunctionsAreRiemannIntegrable 2013-03-22 13:45:32 2013-03-22 13:45:32 paolini (1187) paolini (1187) 5 paolini (1187) Theorem msc 26A42