dx 2 x (1+x) = - Vidyadip

MCQ

$\int\frac{\text{dx}}{2\sqrt{\text{x}}(1+\text{x})}=$

A
$\frac{1}{2}\tan(\sqrt{\text{x}})+\text{c}$
✓
$\tan^{-1}(\sqrt{\text{x}})+\text{c}$
C
$2\tan^{-1}(\sqrt{\text{x}})+\text{c}$
D
None of these

✓

Answer

Correct option: B.

$\tan^{-1}(\sqrt{\text{x}})+\text{c}$

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