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The area (in sq. units) of the region ${(x, y) \in R^2 : x^2 \leq y \leq |3 - 2x|}$, is:
(1) $\frac{32}{3}$
(2) $\frac{34}{3}$
(3) $\frac{29}{3}$
(4) $\frac{31}{3}$
$x^2 \leq 3-2x \Rightarrow x \in [-3,1]$. Area $= \int_{-3}^{1}(3-2x-x^2),dx = \frac{32}{3}$.
BETA
