The following sum
is a right Riemann sum for the definite integralwhere = ? = 3
and = ? = sqrt(9-x^2)
The part of the question I'm stuck on is:
The limit of these Riemann sums as is = ?
I know that I need to evaluate:
lim(n->inf) sum from 0 to n of sqrt(9-(3i/n)^2) but after scaring the 3i/n part, I'm stuck.
Any help would be GREATLY appreciated!
Thanks in advance!
Does this whole question involve a topic called "Riemann sums?"