# Do you know the formula for this one?

Calculus Level 4

$r(t) = \begin{bmatrix} 3 \cos t + 2 \sin t \\ - 2 \sin t \\ 4 \cos t + \sin t \end{bmatrix}$

Let $$r(t)$$ be the parametric vector defined above. What is the area enclosed by the closed curve that $$r(t)$$ traces over $$[0, 2 \pi ]$$, in the plane that $$r(t)$$ lies in?

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