$\int \frac{\sqrt{\mathrm{x}-2}}{2 \mathrm{x}+4} \mathrm{dx}=$

• A

  $\sqrt{\mathrm{x}-2}-\frac{1}{2} \operatorname{Tan}^{-1}\left(\frac{\sqrt{\mathrm{x}-2}}{2}\right)+\mathrm{c}$
• Correct answer
  B

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

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

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

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