Download presentation

Presentation is loading. Please wait.

Published byAdelia Short Modified over 6 years ago

1
4.6 Numerical Integration

2
The Trapezoidal Rule

3
One method to approximate a definite integral is to use n trapezoids.

4
The Trapezoidal Rule

6
Example:

7
Simpson’s Rule One way to view the trapezoidal rule if to say that on each subinterval, you approximate f by a 1 st degree polynomial. In Simpson’s Rule, you approximate f by a 2 nd degree polynomial.

9
Simpson’s Rule For Simpson’s Rule, we are still going to partition [a,b] into n subintervals, but n must be even! We will look at 2 subintervals at a time and create a 2 nd degree polynomial, p, that passes through (x o, y o ), (x 1, y 1 ), and (x 2, y 2 ). Then,

11
Example:

Similar presentations

© 2022 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google