(a)

Trapezoidal Rule:

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

, where , .

The function is  and .

Here ,  and .

.

(b)

Midpoint Rule :

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

, where , .

.

(c)

Simpsons rule :

Let  be continuous on .

The Simpsons Rule for approximating  is given by, where , .

.

(a) .

(b) .

(c) .