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Mathematics · 2019

JEE Main · 11 January 2019, Shift 1 · Q75

The value of the integral ∫_-2^2 (sin^2 x)/([x/(π)]+1/2) d x (where [x] denotes the greatest integer less than or equal to x ) is:

The value of the integral $\displaystyle \int_{-2}^2 \frac{\sin ^2 x}{\left[\dfrac{x}{\pi}\right]+\dfrac{1}{2}} d x$ (where $\displaystyle [x]$ denotes the greatest integer less than or equal to $\displaystyle x$ ) is :
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.