# Math Help - riemann integrable

1. ## riemann integrable

A bounded real valued function on [0,1] which is not Riemann Stieljes integrable with respect to $\alpha(x)=x^{2}$

2. Originally Posted by Chandru1
A bounded real valued function on [0,1] which is not Riemann Stieljes integrable with respect to $\alpha(x)=x^{2}$
What's your question?

3. give an example

4. The characteristic function of the rationals.

5. how can we prove it.

6. Well, you can always look at the set of discontinuities - that is, if you've already done the criteria for Riemann integrability which says that a function is integrable if and only if its set of discontinuities has measure zero.