The value of

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

The value of

\int_{-2}^{2} \frac{\sin^2 x}{\left[ \frac{x}{\pi} \right] + \frac{1}{2}} dx

, where

[. ]

denotes greatest integer function, is (1)

1

(2)

0

(3)

4 - \sin 4

(4) None of these