The curve is ,
.
Find the area of the region under the curve using graphing utility.
\Graphically the area of the region under the curve is .
Determine the exact area by integrating the curve under the given limits.
\Area is .
Consider .
Apply derivative on each side.
\.
Change in integral limits:
\Lower limit: If then
.
Upper limit: If then
.
Substitute ,
and change of limits in
.
Area is .
Area is .