If the area enclosed by curve $y = f (x) a n d y = x^{2} + 2$ between the abscissa $x = 2 a n d x = α, α > 2,$ is $(α^{3} - 4 α^{2} + 8) s q ˙$ unit. It is known that curve $y = f (x)$ lies below the parabola $y = x^{2} + 2 .$

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If the area enclosed by curve

y = f (x) a n d y = x^{2} + 2

between the abscissa

x = 2 a n d x = α, α > 2,

(α^{3} - 4 α^{2} + 8) s q ˙

unit. It is known that curve

y = f (x)

lies below the parabola

y = x^{2} + 2 .

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Question Text

If the area enclosed by curve

y = f (x) a n d y = x^{2} + 2

between the abscissa

x = 2 a n d x = α, α > 2,

(α^{3} - 4 α^{2} + 8) s q ˙

unit. It is known that curve

y = f (x)

lies below the parabola

y = x^{2} + 2 .

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