JEE MAIN - Mathematics Hindi (2023 - 31st January Evening Shift - No. 5)
माना $$\alpha > 0$$ है । यदि $$\int_\limits{0}^{\alpha} \frac{x}{\sqrt{x+\alpha}-\sqrt{x}} \mathrm{~d} x=\frac{16+20 \sqrt{2}}{15}$$, है, तो $$\alpha$$ बराबर है :
4
2
2$$\sqrt2$$
$$\sqrt2$$
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