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

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It is known that curve \( y=f(x) \) lies below the parabola \( y=x^{2}+2 \).
Area enclosed by curve \( \mathrm{y}=\mathrm{f}(\mathrm{x}) \) with \( \mathrm{x} \) axis, \( \mathrm{x}=0, \mathrm{x}=1 \) is
(a) \( \frac{8}{3} \)
(b) \( \frac{16}{3} \)
(c) \( \frac{16}{7} \)
(d) \( \frac{4}{3} \)
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