Step 1:

The parabola equation is $\"\"$ .

Differentiate each side with respect to x.

$\"\"$

Use the power rule property of derivative: $\"image\"$

$\"\"$

Hence, $\"\"$ .

Step 2:

find the length of the curve from $\"\"$ .

The formula for arc length is $\"\"$

Substitute $\"\"$ in above formula.

$\"\"$

Use the property : $\"\"$ .

$\"\"$

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

Solution :

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