$\int_{-2}^4\left|2-x^2\right| d x=$

• A

  $\frac{8 \sqrt{2}}{3}-3$
• Correct answer
  B

  $\frac{16 \sqrt{2}}{3}+12$
• C

  $\frac{16 \sqrt{2}}{3}-3$
• D

  $\frac{8 \sqrt{2}}{3}+12$

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