Area between the curves y=|x|, y=(x^2)-2, -2≤x≤2, integrated with respect to x and y?

Question

Area between the curves y=|x|, y=(x^2)-2, -2≤x≤2, integrated with respect to x and y?

Answer 1

integral from -2 to 0 of x^2-2-x

+

integral from 0 to 2 of x^2-2+x

first part is 1/3x^3-2x-1/2x^2

1/3(0)^3-2(0)-1/2(0)^2-(1/3(-2)^3-2(-2...

0--2/3=2/3

second part is 1/3x^3-2x+1/2x^2

1/3(2)^3-2(2)+1/2(2)^2-(1/3(0)^3-2(0)+...

2/3-0=2/3

add them together to get 4/3

make it a good day.