\
\
The curve is ,
.
Definition of the surface area:
\If the curve ,
is rotating about
-axis, then the area of the resulting surface area is,
.
In this case and
.
Consider .
Apply derivative on each side with respect to .
.
Substitute and
and limits of
in surface area formula.
Step 2:
\.
.
Solution:
\Surface area of the curve is
.