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The value of the integral, $\int_1^3 [x^2 - 2x - 2],dx$, where $[x]$ denotes the greatest integer less than or equal to $x$, is:
(1) $-4$
(2) $-5$
(3) $-\sqrt{2} - \sqrt{3} - 1$
(4) $-\sqrt{2} - \sqrt{3} + 1$
BETA
