$\"\"$

The length of the arc represented by the integral is $\"\"$ .

Definition of Arc Length:

Let the function given by $\"\"$ represent a smooth curve on the interval $\"\"$ .

The arc length of $\"\"$ between $\"\"$ and $\"\"$ is $\"\"$ .

Here, function $\"\"$ and $\"\"$ .

Graph the function $\"\"$ on $\"\"$ :

$\"\"$

Observe the graph:

The arc length is about $\"\"$ .

$\"\"$ .

The correct choice is option (b).

$\"\"$

Option (b) is the correct choice.