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Mathematics · 2024

JEE Main · 30 January 2024, Shift 1 · Q25

The value of 9 ∫_0^9[√((10 x)/(x+1))] d x, where [t] denotes the greatest integer less than or equal to t, is ____.

The value of $\displaystyle 9 \int_0^9\left[\sqrt{\frac{10 x}{x+1}}\right] \mathrm{d} x$, where $\displaystyle [t]$ denotes the greatest integer less than or equal to $\displaystyle t$, is $\displaystyle \_\_\_\_$.
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.