Question

Simoson's rule

Answer 1

(1)

Step 1:

The function is .

Number of sub intervals are n = 10.

Evaluate the integral using the Simpson's rule : .

Where is trapezoidal integral.

Trapezoidal formula : .

Where .

Step 2:

Step 3:

Therefore the value of integral using the Simpson's rule is 1.186.

Solution :

The value of integral using the Simpson's rule is 1.186.

Answer 2

(2)

Step 1:

Number of sub intervals are n = 10.

The error function is defined as .

Find out the integral using trapezoidal integral with n = 10.

Trapezoidal formula : .

Where .

Step 2:

Solution :

.