question_answer

Value of \[\int\limits_{-2}^{2}{\frac{{{\sin }^{2}}x}{-2\left[ \frac{x}{\pi } \right]+\frac{1}{2}}dx}\], (where [x] is the greatest integer function) is

A)  1        

B)  0

C)  4 - sin 4           

D)  None of these