The area of the region given by \( A=\left\{(x, y) ; x^{2} \leq y \leq \operatorname{mill}\{x+2,...

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The area of the region given by \( A=\left\{(x, y) ; x^{2} \leq y \leq \operatorname{mill}\{x+2,4-3 x\}\right\} \) is
(a) \( \frac{31}{8} \)
(b) \( \frac{17}{6} \)
(c) \( \frac{19}{6} \)
(d) \( \frac{27}{8} \)
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