A function defined on [0,1] by then show that and its integral is where denotes that f is Riemann integrable on [0,1].

Here is how I went about solving it firstly the function is discontinuous and the set has one limit point namely and is bounded and monotonic in [0,1] hence

Now the trouble is when I evaluate = = but I cannot prove it equals any help is much appreciated.

Regards,

Kalyan.