2. Consider the region bounded by $y = \frac{1}{x}$, $y = 3$, and $x = 2$ with $x > 0$ as shown below.
a. Set up, but do not evaluate, the integral in
terms of y, needed to find the area of the
region.
(3 points)
b. Using the disk/washer method, set up, but
do not evaluate, the integral needed to find
the volume when the region R is revolved
about the x - axis.
(3 points)
c. Using the shell method, set up, but do not
evaluate, the integral needed to find the
volume when the region R is revolved about
the x -axis.
(3 points)
d. Set up, but do not evaluate, the integral
needed to find the arc length of the curve
$y = \frac{1}{x}$ on the interval $[\frac{1}{3}, 2]$. (3 points)
