Question

sketch the region enclosed by the given curves and find its area: y=abs(x), y=x^2-2

Answer 1

Sketch it first.

Answer 2

I have, however I get to the point where I'm adding up the final area and I get a negative answer. I believe it is going from -2 to 2 on the x-axis but I'm not exactly sure on the function that I have to plug these two number into.

Answer 3

Because of symmetry, consider only quadrants I and IV

Answer 4

Area "b" is positive, while are "a" is negative.

The abs graph in the quadrants of interest is simply y=x

Answer 5

ok, so will the area only be from 0 to 2 instead of -2 and 2? If that's true then that would make sense to why I keep getting a negative answer. The graph of mine looks like this.