If _0^1 d x 1+x-X =k 3 , then k is equal to - Vidyadip

MCQ

If $\int_0^1 \frac{d x}{\sqrt{1+x}-\sqrt{X}}=\frac{k}{3}$, then $k$ is equal to

A
$\sqrt{2}(2 \sqrt{2}-2)$
B
$\frac{\sqrt{2}}{3}(2-2 \sqrt{2})$
C
$\frac{2 \sqrt{2}-2}{3}$
✓
4√2

✓

Answer

Correct option: D.

4√2

$4 \sqrt{2}$

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