MCQ
$\int \frac{2 d x}{\sqrt{x}(x+9)}=$
  • A
    $\tan ^{-1} \sqrt{x}+c$
  • B
    $\tan ^{-1}\left(\frac{\sqrt{x}}{3}\right)+c$
  • C
    $\frac{2}{3} \tan ^{-1}(\sqrt{x})+c$
  • $\frac{2}{3} \tan ^{-1}\left(\frac{\sqrt{x}}{3}\right)+c$

Answer

Correct option: D.
$\frac{2}{3} \tan ^{-1}\left(\frac{\sqrt{x}}{3}\right)+c$
(D)

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