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The value of the integral $\int_{-2}^{2} \dfrac{\sin^2 x}{\left[\dfrac{x}{\pi}\right] + \dfrac{1}{2}},dx$
(where $[x]$ denotes the greatest integer less than or equal to $x$) is:
(1) $0$
(2) $\sin 4$
(3) $4$
(4) $4 - \sin 4$
BETA
