The value of the integral $\int_\pi^{2 \pi} \frac{\left(x^2+2\right) \cos x}{x^3} d x$ is

• Correct answer
  A

  $-\left(\frac{5}{4 \pi^2}\right)$
• B

  $-\left(\frac{1}{4 \pi^2}\right)$
• C

  $\frac{1}{4 \pi^2}$
• D

  $\frac{5}{4 \pi^2}$

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