Area Between Curves with Multiple Intersections Practice Test

$\displaystyle \int_{-2}^{2}\left[(1-x^2)(x^2-1)\right]dx$

$\displaystyle \int_{-2}^{-1}\left[(x^2-1)-(1-x^2)\right]dx+\int_{-1}^{1}\left[(1-x^2)-(x^2-1)\right]dx+\int_{1}^{2}\left[(x^2-1)-(1-x^2)\right]dx$

$\displaystyle \int_{-2}^{2}\left[(1-x^2)+(x^2-1)\right]dx$

$\displaystyle \int_{-2}^{2}\left[(x^2-1)-(1-x^2)\right]dx$

$\displaystyle \int_{-2}^{2}\left[(1-x^2)-(x^2-1)\right]dx$