The area (in sq. units) of the region $\left\{(x, y) \in R^{2}: x^{2} \leq y \leq 3-2 x\right\}$, is
$\frac{29}{3}$
$\frac{31}{3}$
$\frac{34}{3}$
$\frac{32}{3}$
Correct Option: , 4
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