The area (in sq. units) of the region

Question:

The area (in sq. units) of the regionĀ $\left\{(x, y) \in R^{2} \mid 4 x^{2} \leq y \leq 8 x+12\right)$ is :

  1. $\frac{127}{3}$

  2. $\frac{125}{3}$

  3. $\frac{124}{3}$

  4. $\frac{128}{3}$


Correct Option: , 4

Solution:

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