$\int_{\pi / 4}^{\pi / 3} \frac{\cos x-\sin x}{\sin 2 x} d x=$

• Correct answer
  A

  $\frac{1}{2} \log \left[\frac{(3+2 \sqrt{2})(2-\sqrt{3})}{\sqrt{3}}\right]$
• B

  $\frac{1}{2} \log \left[\frac{(3-2 \sqrt{2})(2+\sqrt{3})}{\sqrt{3}}\right]$
• C

  $\log \left[\frac{(3-2 \sqrt{2})(2-\sqrt{3})}{\sqrt{3}}\right]$
• D

  $\log \left[\frac{(3+2 \sqrt{2})(2-\sqrt{3})}{\sqrt{3}}\right]$

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