The integral is
.
Rewrite the integral as
.
Consider
.
Here the integrand function is an odd function.
\From the symmetric property of the integrals,
.
Consider
.
Determine the integral interms of an area.
\Find the area of the region under the curve using graphing utility.
\
Graphically the area of the region under the curve is
.
.
Required integral is three times the area of the semicircle.
\Therefore,
.
Substitute results of
and
in
.


.