Squashed ellipse

Calculus Level 2

Consider the curve defined by the parametric equations {x=asin⁡θy=asin⁡2θcos⁡θ\begin{cases} x=a\sin \theta \\ y = a\sin^2 \theta \cos \theta \end{cases} for 0≤θ≤2π.0 \le \theta \le 2\pi.

What is the area enclosed by the curve?


Hint: Green’s theorem might help.

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Patrick Corn by Patrick Corn
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