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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