# Thread: Riemann integration

1. ## Riemann integration

Prove that the function h(x)=x is Riemann integrable on [0,1].

2. Hi,

For any $P$, we have $U_{f}(P) - L_{f}(P) = \sum (\Delta x_{i})^2 \leq |P|\sum \Delta x_{i},...$

3. even easier since is continuous on that compact set.

4. True, but given the question posted, that theorem most likely has not been proved yet.