You are about to action:

Object being modified by the action

Do you want to proceed?

Share Video Link

https://www.bitchute.com/video/r1w7Ryo5MknY/

Click to copy, then share by pasting into your messages, comments, social media posts and websites.

Embed Video HTML

Click to copy, then add into your webpages so users can view and engage with this video from your site.

Share to Social Media

Share to social media by clicking on the quick share links.

Report Content

Reason

Please select the most appropriate reason from the list provided.

Note: For a more detailed description of each reason, see our Community Guidelines.

Additional Comments

Please add any additonal comments that will help with the assessment of your request.

Note: Copyright claims must contain all the items specified within the Copyright Policy.

Email Submissions

We also accept reports via email. Please see the Guidelines Enforcement Process for instructions on how to make a request via email.

Thank you for submitting your report

We will investigate and take the appropriate action.

Add to Playlist

Approximate Integration: Trapezoidal Rule Error Bound: Proof

Next video playing soon

Click to cancel

Autoplay has been paused

Click to watch next video

First published at 00:51 UTC on July 28th, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

subscribers

Your platform for uncensored ideas. BitChute Premium.

BitChute Advertisement

In this video I go over a very extensive proof of the Error Bound formula for the Trapezoidal Rule integration approximation method. In this video I derive an estimate of the error for a single sub-interval using the fact that the integration constant can be chosen to be any number (learn more about this in my next video so stay tuned!). From there I expand the estimate and sum it up for all n-intervals. Now selecting the number K to be at least the maximum value of the absolute value of the second derivative for the given interval, I am able to derive the maximum error bound estimate. In the video I also explain how there are some significant weaknesses in the derivation and show that the actual error can be much less than the maximum error bound estimate. This is a very long and extensive example but it will give you a profound understanding of mathematics and integral approximations in general so make sure to watch the video and follow along if you can!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIheVNljWhZ5onJi8ioQ

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/approximate-integration-trapezoidal-rule-error-bound-proof

Related Videos:

Approximate Integration: Accuracy and Error Bounds: http://youtu.be/WTdNktL_1Uc
Approximate Integration: Example 1: 1/x: http://youtu.be/DTzZ1jz6OOg
Approximate Integration: Left, Right, Midpoint, and Trapezoidal Rules: http://youtu.be/zWzmaLvQU6w
The Definite Integral - Brief Introduction: http://youtu.be/vhMP5SKbQjU
Evaluating Integrals - Examples Part 1 - Using Infinite Rectangles: http://youtu.be/cvqH43bRLoE
Evaluating Integrals - Examples Part 2 - Interpreting as Areas: http://youtu.be/yRP_7umJmIo
Evaluating Integrals - Midpoint vs Right Endpoint Approximations Comparison: http://youtu.be/3x3sF7P9xfY
Completing the Square: http://youtu.be/5uxV6-f_qc0 .

------------------------------------------------------

SUBSCRIBE via EMAIL: https://mes.fm/subscribe

DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate

Like, Subscribe, Favorite, and Comment Below!

Official Website: https://MES.fm
Steemit: https://steemit.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: [email protected]