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| PAGE: 575 | SET: Exercises | PROBLEM: 26 |
The curve is 
, where 
.
The differential of arc length : 
.
Consider .
Differentiate with respect to 
.
Substitute in .
Surface area of the curve when rotated about -axis : 
.
Substitute 
and in the above formula.
Let 
.
.
and 
Substitute corresponding values in the above equation.
Let 
.
.
Substitute corresponding values in the above equation.
Consider 
.
Integral reduction : 
.
Thus, 
.
Substitute equation (2) in equation (1).
Substitute 
in the above equation.
Thus, the surface area is 
.
The surface area is 
.
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