Mathematics

Mathematics

Problem

The value of ∫−22sin⁡2x[xπ]+12dx\int_{-2}^{2} \frac{\sin^2 x}{\left[ \frac{x}{\pi} \right] + \frac{1}{2}} dx , where [.][. ] denotes greatest integer function, is a. 11 b. 00 c. 4−sin⁡44 - \sin 4 d. None of these

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