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

A

-4

B

-5

C

$$-\sqrt{2} - \sqrt{3} + 1$$

D

$$-\sqrt{2} - \sqrt{3} - 1$$