1. Find the derivative of F(x)
a. $F(x) = \int_{0}^{\sqrt{x}} \cos t^3 dt$
b. $F(x) = \int_{0}^{\sin x} \sqrt{t} dt$
2. Find the total area and net area between the region and the x-axis. Include an appropriate graph showing intercepts.
$y = 3x^2 - 3, -2 \leq x \leq 2$
a. total area
b. net area