The area enclosed between the curves $y=x|x|$ and $y=x-|x|$ is :

• Correct answer
  A

  $\frac{4}{3}$
• B

  1
• C

  $\frac{2}{3}$
• D

  $\frac{8}{3}$

Solution

$A=\int_{-2}^0-x^2-2 x=\frac{4}{3}$

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