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:

$\"\"$ .

Substitute $\"\"$ in arc length formula.

$\"\"$

This integral represents the length of the arc.

Using calculator,

$\"\"$ .

Solution :

The length of the arc is $\"\"$ .