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Mathematics · 2021

JEE Main · 31 August 2021, Shift 1 · Q84

Let [ t ] denote the greatest integer ≤ t. Then the value of 8 · ∫_-1/2^1([2 x]+|x|) d x is \ \ \ \.

Let $\displaystyle [\mathrm{t}]$ denote the greatest integer $\displaystyle \leq \mathrm{t}$. Then the value of $\displaystyle 8 \cdot \int_{-\frac{1}{2}}^1([2 x]+|x|) \mathrm{d} x$ is \_\_\_\_.
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.