Squashed ellipse
Calculus
Level
3
Consider the curve defined by the parametric equations \[\begin{cases} x=a\sin \theta \\ y = a\sin^2 \theta \cos \theta \end{cases} \] for \(0 \le \theta \le 2\pi.\)
What is the area enclosed by the curve?
\(\)
Hint: Green’s theorem might help.
by
Patrick Corn