Quiz 10

Date: MATH 1210-4 - Spring 2004

Note: Unless stated otherwise, answers without justification receive no credit. Please, show your work!

Find the area of the region under the curve $y=2x+2$ over the interval $[0,3]$. To do this, divide the interval $[0,3]$ into $n$ equal subintervals, calculate the area of the corresponding circumscribed polygon -the area determined by the $n$ rectangles- and, then, let $n\rightarrow \infty$.