Solution
= Solution
Subtract the lower curve from the upper curve on the intersection interval. The <definite integral> is
$$
\mathcal A=\int_{-1}^1[(1-x^4)-(x^2-1)]dx
=2\int_0^1(2-x^2-x^4)dx
=\boxed{\frac{44}{15}}.
$$
The result is in square coordinate units.