application-integrals [help?]?

Question

Answer 1

(9)

Step 1:

The curve eqution is , .

Definition of the surface area:

If the curve , is rotating about -axis, then the area of the resulting surface area is,

. 

In this case and .

Find .

.

Apply derivative on each side with respect to .

.

Step 2:

Substitute , and limits of in surface area formula.

.

.

Solution:

Surface area of the curve is .