https://youtu.be/CGzWQXTZtog

In this video I go further into the Substitution Rule for definite integrals by solving a couple of very useful examples.

---

Watch Video On:

- DTube: [https://d.tube/#!/v/mes/fgrbchti64q](https://d.tube/#!/v/mes/fgrbchti64q)
- BitChute: [https://www.bitchute.com/video/tQAl5RfcpJni/](https://www.bitchute.com/video/tQAl5RfcpJni/)
- YouTube: [https://youtu.be/CGzWQXTZtog](https://youtu.be/CGzWQXTZtog)

Download Video Notes: https://1drv.ms/b/s!As32ynv0LoaIg4FtXDxXDyIFwYo_MA?e=3bDi3d

---

# View Video Notes Below!

---

>Download these notes: Link is in video description.
>View these notes as an article: https://peakd.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:
>- Reddit: https://reddit.com/r/AMAZINGMathStuff
>- Voat: https://voat.co/v/AMAZINGMathStuff
>
>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://peakd.com/mesexperiments/@mes/list
>- #AntiGravity: https://peakd.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://peakd.com/video/@mes/play-videos-at-faster-or-slower-speeds-on-any-website
>- Download and read video notes.
>- Read notes on the Hive blockchain #Hive
>- 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

---

# The Substitution Rule for Definite Integrals: Examples

![Substiution Rule Definite Integrals Examples.jpeg](https://files.peakd.com/file/peakd-hive/mes/CBRRcKcq-Substiution20Rule20Definite20Integrals20Examples.jpeg)

## Recap on The Substitution Rule for Definite Integrals

If u = g(x) is a differentiable function whose range is an interval I and f is continuous on I, AND g’ is continuous on [a, b], then:

![image.png](https://files.peakd.com/file/peakd-hive/mes/z1pLTw21-image.png)

## Examples

![image.png](https://files.peakd.com/file/peakd-hive/mes/5JDDnJdN-image.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/7eKRuJGq-image.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/Ac6HvMTV-image.png)