Strategy for Integration: Examples 2 to 5

in mathematics •  2 months ago  (edited)

In this video I go over more examples on illustrating how to apply the 4-step strategy for integration when deciding which integration technique to use. I go over 4 examples on just how to view and apply the strategy but I don't actually evaluate the integrals. This is a very useful technique to follow and these examples show the different types of integrals and integration techniques to use.


Watch Video On:

Download Video Notes: http://1drv.ms/1Dz8csy


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/donate

Reuse 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 My #FreeEnergy Video Series: https://mes.fm/freeenergy-playlist
Watch my #AntiGravity Video Series: https://steemit.com/antigravity/@mes/series

  • See Part 6 for my Self Appointed PhD and #MESDuality Breakthrough Concept!

Follow My #MESExperiments Video Series: https://steemit.com/mesexperiments/@mes/list


NOTE #1: If you don't have time to watch this whole video:

NOTE #2: If video volume is too low at any part of the video:


Strategy for Integration: Examples 2 to 5

Strategy for Integration Example 2 to 5.jpeg

Recap from my earlier video on the 4-step integration strategy that I covered:

Four-Step Integration Strategy

  1. Simplify the Integrand if Possible
  2. Look for an Obvious Substitution
  3. Classify the Integrand According to its Form
  4. Try Again

Now in the following examples, I will go over the process of selecting a method to use to integrate but will not fully work out the integral:

Example 2:

The integral is now a product of u and a transcendental function eu and thus it can be integrated by parts.

Example 3:

No algebraic simplification or substitution is obvious so steps 1 and 2 don't apply.

The integrand is a rational function so we can solve this using the method of partial fractions.

Example 4:

Example 5:

Authors get paid when people like you upvote their post.
If you enjoyed what you read here, create your account today and start earning FREE STEEM!