A Helicoid is the surface defined by equations:

$$\begin{equation*} \begin{cases} x(r,\theta) = r\cos\theta \\\ y(r,\theta) = r\sin\theta \\\ z(r,\theta) = \theta \end{cases} \end{equation*}$$

...where $\theta \in [0,2\pi]$ and $r\in [0,2].$ Find its area.

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