Step 1:

The parametric equations of the curve are .

Length of the curve with parametric equations is

Differentiate with respect to .

Differentiate with respect to .

Substitute , and limits of in formula.

Simpsons rule:

Let be continuous on let be an even integer,

The Simpsons Rule for approximating   is given by

,

where and 

Here .

Substitute above values in Simpsons formula.

Solution:

Arc length of the curve is