The value of the integral _ -2 ^ 2 ^ 2 x [ x ]+ 1 2 d x (where [x] denotes the greatest…
Mathematics · JEE Main · NTA Exams — Integral Calculus
The value of the integral \[\int_{-2}^{2} \frac{\sin ^{2} x}{\left[\frac{x}{\pi}\right]+\frac{1}{2}} d x\] (where [x] denotes the greatest integer less than or equal to x) is
- \(0\)
- \(4\)
- \(4-\mathbf{s i n} 4\)
- \(5 \operatorname{in} 4\)
Answer
(A) 0
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