Please help with this math problem; I’ve been working on it for weeks (literally). How do I solve it?

Find the area of the regions enclosed by the lives and curves.

14. y = x^4 – 4x^2 + 4 and y = x^2

I've begun to work it out somewhat:

∫_(-1)^(-2) [x^2-(x^k-4x^2+4) ]ⅆx + ∫_1^2 [x_^4-4x^2+4-(x^2 ) ]ⅆx

The rest I've made effort to work is too long to post; I got 0 as an answer which I'm sure isn't correct.