Step 1:

The function is .

Here , and .

Number of subintervals : .

Trapezoidal Rule:

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

,

where and  .

.

Using Trapezoidal Rule, .

Step 1:

The function is .

Here , and .

Number of subintervals : .

Midpoint Rule:

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

, where and  .

.

Using Midpoint Rule, .

Second bit

Step 1:

The function is .

Here , and .

Number of subintervals : .

Midpoint Rule:

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

, where and  .

.

Using Midpoint Rule, .

Solution:

.

Step 1:

The function is .

Here , and .

Number of subintervals : .

Trapezoidal Rule:

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

,

where and  .

.

Using Trapezoidal Rule, .

Solution :

.

Third bit

Step 1:

The function is .

Here , and .

Number of subintervals : .

Midpoint Rule:

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

, where and  .

.

Using Midpoint Rule, .

Solution:

.

Step 1:

The function is .

Here , and .

Number of subintervals : .

Trapezoidal Rule:

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

,

where and  .

.

Using Trapezoidal Rule, .

Solution :

.