The function is  .

(a) Trapezoidal Rule:

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

, where 

Here ,  and .

.

Using Trapezoidal Rule, .

(b) Midpoint Rule:

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

, where 

Width of te interval:

Using Midpoint Rule, .

(c) Simpsons rule:

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

,

where  and .

Using Simpson Rule, .

(a) Using Trapezoidal Rule, .

(b) Using Midpoint Rule, .

(c) Using Simpson Rule, .