Area enclosed by curve \( y=f(x) \) and \( y=x^{2}+2 \) between the...

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Area enclosed by curve \( y=f(x) \) and \( y=x^{2}+2 \) between the abscissa \( x=2 \) and \( x=\alpha, \alpha2 \) is given as \( \left(\alpha^{3}-4 \alpha^{2}+8\right) \) sq. unit.
\( \mathrm{P} \) It is known that curve \( y=f(x) \) lies below the parabola \( y=x^{2}+2 \).

W) Value of area bounded by line \( y=x+2 \) and \( y=f(x), x=2 \) and \( x=4 \) is
(a) \( \frac{36}{5} \)
(b) \( \frac{7}{5} \)
(c) \( \frac{123}{13} \)
(d) \( \frac{79}{12} \)
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