$\int \frac{1}{(x+2) \sqrt{x^2+x+2}} d x=$

• Correct answer
  A

  $-\frac{1}{2} \operatorname{Sinh}^{-1}\left(\frac{2-3 x}{\sqrt{7}(x+2)}\right)+\mathrm{c}$
• B

  $-\frac{1}{2} \operatorname{Sin}^{-1}\left(\frac{2+3 x}{\sqrt{7}(x+2)}\right)+\mathrm{c}$
• C

  $\frac{1}{2} \operatorname{Cosh}^{-1}\left(\frac{2+3 x}{\sqrt{7}(x+2)}\right)+\mathrm{c}$
• D

  $-\frac{1}{2} \operatorname{Cos}^{-1}\left(\frac{2-3 x}{\sqrt{7}(x+2)}\right)+\mathrm{c}$

Hence, the correct answer is option: 'A'.