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 .