If $f(x)=\operatorname{Max}\left\{x^3-4, x^4-4\right\}$, and $g(x)=\operatorname{Min}\left\{x^2, x^3\right\}$, then $\int_{-1}^1(f(x)-g(x)) d x=$

• Correct answer
  A

  $-\frac{151}{20}$
• B

  $\frac{9}{20}$
• C

  $\frac{131}{22}$
• D

  $-\frac{67}{9}$

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