I am having trouble with this problem. Can anyone help me? I think I have to show that any sequence of Riemann sums, with the maximum length of an interval going to 0, converges to the same thing.
Let f:[0,2] -> be defined by f(x) =: 1 if x does not equal 1 and f(1):=0. Show that f is integrable on [0.2] and calculate its integral.