If $\int \frac{a \cos x+3 \sin x}{5 \cos x+2 \sin x} d x=\frac{26}{29} x-\frac{k}{29} \log |5 \cos x+2 \sin x|+c$, then $|a+k|=$

• A

  $3$
• Correct answer
  B

  $11$
• C

  $12$
• D

  $2$

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