Question

Set up an integral that represents the length of the curve. Then use your calculator to find the length correct to four decimal places.

Answer 1

Step 1:

The function is , .

The function is in terms of , so .

The arc length formula :

Length of the curve , is .

Find .

Apply derivative on each side with respect to .

.

Step 2:

Find the length of the arc.

Substitute in arc length formula.

This integral represents the length of the arc.

Using calculator,

.

Solution :

The length of the arc is .