Question

Use the Trapezoidal Rule and Simpson ' s Rule to approximate the value of the definite integral for the given value of n. Round your answer to four decimal places and compare the results with the exact value of the definite integral.

Answer 1

Step 1:

The integral function is .

Step 2:

Trapezoidal rule:  

Step 3:

Simpsons Rule:

Solution:

Actual value of definite integral is .

The integral value by using Trapezoidal rule is .

The integral value by using Trapezoidal rule is .