The area (in sq. units) of the region $\left\{(x, y) \in R^{2} \mid 4 x^{2} \leq y \leq 8 x+12\right)$ is :
$\frac{127}{3}$
$\frac{125}{3}$
$\frac{124}{3}$
$\frac{128}{3}$
Correct Option: , 4
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