Textbook ExpertVerified Tutor
5 Dec 2021
Given information
The given function is
Step-by-step explanation
Step 1.
( )
Consider the following integral,
Consider the following integral,
The above integral can be approximated using the Midpoint rule as follows,
Here, is the midpoint of the sub-interval and the interval width is given by,
The same integral can be approximated using the Trapezoidal rule as follows,
is defined as,
Using the Simpson's rule the integral is approximated as,
The only restriction here is that the number of intervals should be an even number.