The function is and the interval is .

(a)

Graph :

(1) Draw the coordinate plane.

(2) Graph the function .

Observe the graph :

The Pink colour represents the function .

The green colour represents the arc length of the curve over the interval .

(b)

Definition Of Arc Length :

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

The arc length of between and is .

Here is .

The function is .

.

Diffrentiate with respective to .

.

When , .

When , .

Substitute and in . \ \

.

(c)

The arc length is .

Consider the integrand on .

Graph the function on . \ \

Observe the graph:

.

The arc length is .

(a)

Graph of the function :

(b) The arc length is .

(c) The arc length is .