If m= _ -2 ^ 0 | x| [ x ]+ 1 2 d x and n= _ 0 ^ 2 | x| [ x ]+ 1 2 d x where represents…

Mathematics · JEE Advanced · NTA Exams — Integral Calculus

If \[m=\int_{-2}^{0} \frac{|\sin x|}{\left[\frac{x}{\pi}\right]+\frac{1}{2}} d x\] and \[n=\int_{0}^{2} \frac{|\sin x|}{\left[\frac{x}{\pi}\right]+\frac{1}{2}} d x\] where represents greatest integer function, then

1. \(m=n\)
2. \(m=-n\)
3. \(m=2 n\)
4. \(m=-2 n\)

Answer

(B) m=-n

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