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Definite Integration question

2023 · 31 Jan · Shift 2 · Q27

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PYQ Library
JEE Main
Mathematics
Definite Integration
2023 · 31 Jan · Shift 2 · Q27

Definite Integration question

2023 · 31 Jan · Shift 2 · Q27

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

\alpha\gt 0

. If

\int\limits_0^\alpha \frac{x}{\sqrt{x+\alpha}-\sqrt{x}} \mathrm{~d} x=\frac{16+20 \sqrt{2}}{15}

, then

\alpha

is equal to :

A
4
B
2
C
$2 \sqrt{2}$
D
$\sqrt{2}$

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