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The area bounded by the curve

\(x^2≤y≤|x^2-4|\) and \(y≥1\) is 

(1) 4√2

(2) \(\frac{4}{3}(4\sqrt{2}-1)\)

(3) \(\frac{4}{3}(4\sqrt{2}+1)\)

(4) \(\frac{2}{3}(4\sqrt{2})\)

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