Mathematics · 2023
JEE Main · 8 April 2023, Shift 2 · Q26
Let [t] denote the greatest integer function. If ∫_0^2.4[x^2] d x=α+β √ 2 +γ √ 3 +δ √ 5, then α+β+γ+δ is equal to ____.
Let $\displaystyle [t]$ denote the greatest integer function. If $\displaystyle \int_0^{2.4}\left[x^2\right] d x=\alpha+\beta \sqrt{2}+\gamma \sqrt{3}+\delta \sqrt{5}$, then $\displaystyle \alpha+\beta+\gamma+\delta$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
6
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.