# Area Of Teardrop Shaped Region

Calculus Level 4

The teardrop shaped region in the image is bounded by the curve $$\gamma:[0,2\pi] \to \mathbb{R}^2$$ with $$\gamma(t) = (\sin(t), (t-\pi)^2 - \pi^2)$$. What is the (unsigned) area of the teardrop shaped region?

Teardrop shaped region given by parametric equations.

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