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| PAGE: 589 | SET: Select | PROBLEM: 84 |
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.
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