If $\frac{x^2-3}{(x+2)\left(x^2+1\right)}=\frac{\mathrm{A}}{x+2}+\frac{\mathrm{B} x+\mathrm{C}}{\left(x^2+1\right)}$ then $3 \mathrm{~A}+2 \mathrm{~B}-\mathrm{C}=$

• A

  $\frac{8}{5}$
• B

  $\frac{16}{5}$
• C

  $\frac{3}{5}$
• Correct answer
  D

  $\frac{19}{5}$

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