Question

Find the exact length of the curve.

Answer 1

Step 1:

The curve is .

Find .

Consider .

Differentiate with respect to .

Find .

Consider .

Differentiate with respect to .

Find .

Step 2:

If the curve is described by   and then,the length of the curve is,

.

Substitute , and limits of in above expression.

Length of the curve is .

Solution:

The exact length of the curve is .