Step 1:

The function is .

Here , and .

Number of sub intervals .

Simpsons rule : 

Let be continuous on and let be an even integer,

The Simpsons Rule for approximating is given by

,

where and .

.

Using Simpson Rule, .

2)

Midpoint Rule:

Let be continuous on . The Midpoint Rule for approximating is given by

, where  and

.

Using Midpoint Rule, .