Chapter 4.3, Problem 3E

Evaluating a Limit In Exercises 3 and 4, use Example 1 as a model to evaluate the limit

$\underset{n\to \infty }{\lim }{\displaystyle \underset{i=1}{\overset{n}{\sum }}f(c_i)\Delta x_i}$

over the region bounded by the graphs of the equations.

$f(x)=\sqrt{x},y=0,x=0,x=3$ (Hint: Let $c_i=\frac{3i^2}{n^2}$ )