The value of the integral \(\mathop \smallint \nolimits_{ - 2}^2 \frac{{{\rm{si}}{{\rm{n}}^2}x}}{{\left[ {\frac{x}{\pi }} \right] + \frac{1}{2}}}dx\) (where [x] denotes the greatest integer less than or equal to x) is:

The value of the integral \(\mathop \smallint \nolimits_{ - 2}^2 \frac

1.	The value of the integral \(\mathop \smallint \nolimits_{ - 2}^2 \frac{{{\rm{si}}{{\rm{n}}^2}x}}{{\left[ {\frac{x}{\pi }} \right] + \frac{1}{2}}}dx\) (where [x] denotes the greatest integer less than or equal to x) is:
A.	0
B.	sin 4
C.	4
D.	4 - sin 4
Answer» B. sin 4