The inequalities are
and
.
Rewrite the inequalities as
and
.
Graph the inequalities
and
.
Shade the required region.
\
Area between the curves
and
and between
and
is
.
The curves
and
intersect at
.
Here
and
.
Area of the required region,
.
Integrand function is even function.
\Therefore, from the symmetric property of integrals,
\


.
Area enclosed by the curves is
.
Area enclosed by the curves is
.