Step 1:

The curve is $\"\"$ , $\"\"$ .

Re write the curve equation is $\"\"$ .

If the curve is rotating about $\"image\"$ axis, area of the resultant surface is $\"image\"$ .

Where $\"image\"$

$\"image\"$

$\"\"$

Step 2:

Substitute $\"\"$ and $\"\"$ in area formula.

$\"\"$

\ \

Solution:

The area of the surface is $\"\"$ Sq-units.