The function is .
Find the surface area of the region formed by revolving the region on the .
Consider .
Differentiate on each side with respect to .
Area of surface of revolution formed by revolving the graph of about horizontal or vertical axis is
.
Where is continuous function on interval
and
is the distance between the
graph of and axis of revolution.
Here .
Substitute corresponding values.
\Therefore, .
.
Find the integral by substitution method.
\Consider
Let
Substitute corresponding values.
\.
Integral formula : .
Substitute back .
Substitute integral limits.
\ sq-units.
Surface area of revolution is sq-units.