Answer
$\frac{8}{5}$
Work Step by Step
Set up the integration to find the area bounded by the graphs.
y=0 when x=-1,1, so we use them as the limits of integration
$\int_{-1}^1(1-x^4)dx$, Integrate
$[x-\frac{1}{5}x^5]_{-1}^1$, Evaluate the definite integral
$(1-\frac{1}{5})-(-1+\frac{1}{5})$, Simplify
$\frac{8}{5}$
