^ -1 x dx is equal to : - Vidyadip

MCQ

$\int\tan^{-1}\sqrt{\text{x dx}}$ is equal to :

✓
$(\text{x}+1)\tan^{-1}\sqrt{\text{x}}-\sqrt{\text{x}}+\text{c}$
B
$\text{x}\tan^{-1}\sqrt{\text{x}}-\sqrt{\text{x}}+\text{c}$
C
$\sqrt{\text{x}}-\text{x}\tan^{-1}\sqrt{\text{x}}+\text{c}$
D
$\sqrt{\text{x}}-(\text{x}+1)\tan^{-1}\sqrt{\text{x}}+\text{c}$

✓

Answer

Correct option: A.

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

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