The area (in sq. units) of the region $\{(x,y): y^2 \geq 2x$ and $x^2 + y^2 \leq 4x, x \geq 0, y \geq 0\}$ is: (1) $\pi - \frac{4\sqrt{2}}{3}$ (2) $\pi - \frac{8}{3}$ (3) $\pi - \frac{4}{3}$ (4) $\frac{\pi}{2} - \frac{2\sqrt{2}}{3}$
The area (in sq. units) of the region $\{(x,y): y^2 \geq 2x$ and $x^2 + y^2 \leq 4x, x \geq 0, y \geq 0\}$ is:
(1) $\pi - \frac{4\sqrt{2}}{3}$
(2) $\pi - \frac{8}{3}$
(3) $\pi - \frac{4}{3}$
(4) $\frac{\pi}{2} - \frac{2\sqrt{2}}{3}$