The following parametric equations define an ellipse.
$x = 2 \cos(\theta)$, $y = 3 \sin(\theta)$, $0 \le \theta \le 2\pi$
Use the formula for the area enclosed by a parameteric curve to compute the area enclosed by this ellipse.
Answer:
(Notice the integrand will involve a trig function squared; recall the techniques from Calculus II to deal with this type of integral.)
