In this video I go over another video on the average value of a function and derive the formula for average value using integrals. This is important when averaging out an infinite amount of numbers as opposed to simple finite amount of numbers which require adding them up and dividing by the total amount of numbers.
Watch Video On:
Download Video Notes: http://1drv.ms/1CH4Wvb
View Video Notes Below!
Download These Notes: Link is in Video Description.
View These Notes as an Article: https://steemit.com/@mes
Subscribe via Email: http://mes.fm/subscribe
Donate! :) https://mes.fm/donateReuse of My Videos:
- Feel free to make use of / re-upload / monetize my videos as long as you provide a link to the original video.
Fight Back Against Censorship:
- Bookmark sites/channels/accounts and check periodically
- Remember to always archive website pages in case they get deleted/changed.
Join my private Discord Chat Room: https://mes.fm/chatroom
Check out my Reddit and Voat Math Forums:
Buy "Where Did The Towers Go?" by Dr. Judy Wood: https://mes.fm/judywoodbook
Follow along my epic video series:
- #MESScience: https://mes.fm/science-playlist
- #MESExperiments: https://steemit.com/mesexperiments/@mes/list
- #AntiGravity: https://steemit.com/antigravity/@mes/series
-- See Part 6 for my Self Appointed PhD and #MESDuality Breakthrough Concept!- #FreeEnergy: https://mes.fm/freeenergy-playlist
NOTE #1: If you don't have time to watch this whole video:
- Skip to the end for Summary and Conclusions (If Available)
- Play this video at a faster speed.
-- TOP SECRET LIFE HACK: Your brain gets used to faster speed. (#Try2xSpeed)
-- Try 4X+ Speed by Browser Extensions or Modifying Source Code.
-- Browser Extension Recommendation: https://mes.fm/videospeed-extension
-- See my tutorial to learn more: https://steemit.com/video/@mes/play-videos-at-faster-or-slower-speeds-on-any-website- Download and Read Notes.
- Read notes on Steemit #GetOnSteem
- Watch the video in parts.
NOTE #2: If video volume is too low at any part of the video:
- Download this Browser Extension Recommendation: https://mes.fm/volume-extension
Integrals and Average Value
It is easy to calculate the average value of a finite amount of numbers:
But how do we compute the average temperature during a day if infinitely many temperatures are possible?
To calculate this we once again use the concept of breaking the function into many parts and summing to infinity and writing as an integral.
For a positive function, we can think of this as saying:
Area/Width = Average Height
