\( \int \frac{x+2}{\left(x^{2}+3 x+3\right) \sqrt{x+1}} \) is equal...

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\( \int \frac{x+2}{\left(x^{2}+3 x+3\right) \sqrt{x+1}} \) is equal to
\( \mathrm{P}^{1300} \)
W
(1) \( \frac{1}{\sqrt{3}} \tan ^{-1}\left(\frac{x}{\sqrt{3(x+1)}}\right) \)
(2) \( \frac{2}{\sqrt{3}} \tan ^{-1}\left(\frac{x}{\sqrt{3(x+1)}}\right) \)
(3) \( \frac{2}{\sqrt{3}} \tan ^{-1}\left(\frac{x}{\sqrt{(x+1)}}\right) \)
(4) None of these
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