$\int_{-\pi / 4}^{\pi / 3}\left|\tan \left(x-\frac{\pi}{6}\right)\right| d x=$

• A

  $\log \frac{\sqrt{3}-1}{\sqrt{6}}$
• Correct answer
  B

  $\log (2 \sqrt{2}(\sqrt{3}+1))$
• C

  $\log \frac{\sqrt{3}+1}{\sqrt{6}}$
• D

  $\log (2 \sqrt{2}(\sqrt{3}-1))$

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