Mathematics · 2023
JEE Main · 31 January 2023, Shift 2 · Q70
Let α>0. If ∫_0^α x/(√(x+α)-√ x) d x=(16+20 √ 2)/15, then α is equal to:
Let $\displaystyle \alpha>0$. If $\displaystyle \int_0^\alpha \frac{x}{\sqrt{x+\alpha}-\sqrt{x}} \mathrm{~d} x=\frac{16+20 \sqrt{2}}{15}$, then $\displaystyle \alpha$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 2$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.