2 x-x+3 dx =___ - Vidyadip

MCQ

$\int \frac{2}{\sqrt{x}-\sqrt{x+3}} dx =$___

A
$-\frac{2}{3}\left[x^{\frac{3}{2}}+(x+3)^{\frac{3}{2}}\right]+ c$
B
$\frac{2}{3}\left[x^{\frac{3}{2}}-(x+3)^{\frac{3}{2}}\right]+ c$
C
$\frac{4}{9}\left[x^{\frac{3}{2}}-(x+3)^{\frac{3}{2}}\right]+ c$
✓
$-\frac{4}{9}\left[x^{\frac{3}{2}}+(x+3)^{\frac{3}{2}}\right]+ c$

✓

Answer

Correct option: D.

$-\frac{4}{9}\left[x^{\frac{3}{2}}+(x+3)^{\frac{3}{2}}\right]+ c$

$-\frac{4}{9}\left[x^{\frac{3}{2}}+(x+3)^{\frac{3}{2}}\right]+ c$

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