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The area bounded by the curves y = |x^2 - 1| and y = 1 is 

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The area bounded by the curves y = |x2 - 1| and y = 1 is 

(A) \(\frac23(\sqrt 2 + 1)\)

(B) \(\frac43(\sqrt 2 - 1)\)

(C) \(2(\sqrt 2 - 1)\)

(D) \(\frac83(\sqrt 2 - 1)\)

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Correct option is (D) \(\frac83(\sqrt 2 - 1)\) 

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