Step 1:

The Curve is , and .

Length of the curve:.Here .

.

Differentiate on each side with respect to .

                  (Since )

.

.

Simpsons rule:

Let be continuous on let be an even integer,

The Simpsons Rule for approximating   is given by

,

where and 

Here .

Substitute all above values in Equation (1).

Using simpsons rule arc length of the curve is .