I really don't understand how to "do" a Riemann sum. All of Newton's notation is really annoying. I think if someone can do a good worked example for me without the jargon that my textbook gives me, then that would be great. They don't look difficult I just can't understand the notation I think.
So an example of one would be the sum of $\frac{1}{n+1} +\frac{1}{n+2}... +\frac{1}{n+n}$