$\"\"$

\

The curve is $\"\"$ over the interval $\"\"$ .

\

Definition of the arc length:

\

If the curve $\"\"$ , $\"\"$ , then the length of the curve is defined as $\"\"$ . Find $\"\"$ .

\

Consider $\"\"$ .

\

Substitute $\"\"$ .

\

$\"\"$

\

Apply derivative on each side with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

Arc length of the curve $\"\"$ :

\

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

The arclength of the curve is $\"\"$ .

\

$\"\"$

\

The arclength of the curve is $\"\"$ .