Average Value of a Function on an Interval Using Calculus

In this video, I give the formula to find the average value of a function on a closed interval and work out on simple example.

[Newbport]

[Insert generic "You've helped me so much in understanding this topic compared to my professor" comment here]

[thomassteil]

really helped out, thanks so much, aced my test thanks to this. Really glad people like you do what you do. Cant thank you enough.

[naulyd]

thanks to this, i blew through my average value of a func questions as much as you blew all over your microphone

[justinortega]

imagine just flying through this like patrick did

[Flareblade]

life saver! Thank you so much I couldn't even find this in my calculus book!

[reykjavik]

I really like your videos. Thank you so much! I am an engineer and I don't use this math so often, so it is good to remember those things now and then.

[Californiway]

This is why I love math!! It gives you so many formulas where you can solve any basic problems

[kwanele]

I did not attend this on the lecture. I never thought it was this simple. thanks a lot, this was every clear. :D

[ShadowDweller]

Jesus you are a life saver. I have a calc teacher that I can barely understand Bc of his accent and I had a quiz to take today and I watched these and it helped a lot thanks :)

[ThePharphis]

Area, (the integral) divided by average length (b-a) = average height, since it is variable.

I think is a pretty clear way of explaining it, as I just came up with this on the spot to justify it to myself, and I think it makes sense.

This will probably help with my Quantum Chem final. . . Thanks!

[anthonymmeek]

you could literally redo all your videos just to update them, and remake money cuz I know I'd watch them haha. Love your channel, bro

[FlameXGaming]

when your teacher is telling you what youtubers to watch for calculus and she says "NEVER WATCH PATRICK" cause he explains little, and then l am like, he cares less about the unnecessary stuff and explains what we actually need to know clearly and efficiently, cause no one has time for the dumb stuff, patrick you are awesome

[val]

These videos have literally saved my life so many times. Thank you:)

[LovelyEvaMarie]

You saved me in Ap Ab calc today Thankyou

[ilovemusicful]

That would be so incredibly awesome. So, I decided I will be donating money to you monthly. Your teaching style has made a huge difference for me. Thank you so much for your amazing videos.

[vivekbharti]

I am so much envious of your handwriting.

[sahilms]

got an exam in 2 hours I just found out this was on there :| you saved me sir

[JaviGomez]

How can you find where the function assumes its average? I'm guessing you set the function equal to its average?

[XxKingBolandxX]

how do you know when you should use the average value theorem? 

[yamdeu]

i just blew through hours of calc homework thanks to you!