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Mathematics · 2023

JEE Main · 8 April 2023, Shift 1 · Q24

Let [t] denote the greatest integer ≤ t. Then 2/(π) ∫_π / 6^5 π / 6(8[ cosec x]-5[ cot x]) d x is equal to ____.

Let $\displaystyle [t]$ denote the greatest integer $\displaystyle \leq t$. Then $\displaystyle \frac{2}{\pi} \int_{\pi / 6}^{5 \pi / 6}(8[\operatorname{cosec} x]-5[\cot x]) d x$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.