$\int \frac{13 \cos 2 x-9 \sin 2 x}{3 \cos 2 x-4 \sin 2 x} d x=$

• Correct answer
  A

  $3 x-\frac{1}{2} \log |3 \cos 2 x-4 \sin 2 x|+c$
• B

  $\frac{x}{2}-3 \log |3 \cos 2 x-4 \sin 2 x|+c$
• C

  $3 x+\frac{1}{2} \log |3 \cos 2 x-4 \sin 2 x|+c$
• D

  $x+\frac{3}{2} \log |3 \cos 2 x-4 \sin 2 x|+c$

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