Double and Triple Integrals

Remember the good old calculus days, and all that time we spent with integration? Let's go back! Oh calm down, it wasn't that bad. Besides, we won't be learning anything terribly new, we will just look at double integrals and triple integrals, which are pretty much the same as single integrals, we just integrate more than once. But admittedly it can be a little tricky to set up the bounds of integration and choose the order in which we integrate each variable, so let's go through the rules and some examples.

Script by Howard Whittle

Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!

[schifoso]

You are such a great teacher.

And I like how you use "we" instead of "you". Makes the student feel like they are not alone.

[akuo]

this is the clearest explaining math video i've ever watched

[GiangTranAI]

Best teachers so far: 3blue1brown and Professor Dave.

[buttersquids]

I was struggling a lot on understanding double integrals on a homework assignment, but this helped massively. Thanks Dave!

[theresaread]

Blessings upon you, Dave. Two minutes in and you’ve already made this make more sense than my instructor.

[gabrielamorais]

This was simply amazing. I have never seen a Youtube teacher be that clear and easy to understand. Thank you soooo much!!! :D

[FlyByPC]

Great explanation!

Of course, my inclination is still to hit it with a FOR loop...

[ActionJaxonH]

This video is amazing. I’m self taught, going through Professor Leonard’s Calc 3 YT series course, and double and triple integrals are coming up in the very near future so I wanted to get a head start. This is totally logical and it just makes sense

[mastershooter]

So you can actually find the volume inside a tesseract niceees

[coop_the_troop]

Man I’m trying to learn first calculus, I was recommended this from a friend in the math field to help, it seems a bit to daunting, I wish I was I just good at math and actually understood what he is talking about most of the time

[mikepablo]

Brilliant, wish I had this when I did maths so much clearer and simple, during lock down going though my old notes 30 years ago inspired me to study more

[shaiyongcheng]

This video is better than 1 hour of lecture. Tq very much

[georgefan]

Thank you, that was one of the most straightfoward explaination!

[lemonhscott]

Professor Dave, thank you so much for these resources! They've been a huge help to me in ODELA and Vector Calc. I'd be lost without you!

[cd]

Thank you for the videos. They help a lot! I’ve had a mental block about these topics for decades.

[melontusk]

I've finally done it. Thanks for your help, my good sir. I'm a lot more confident now.

[mavlonkarlsefni]

I have a test tomorrow, and your video really helped me to understand integration more deeply. Thanks from Russia!

[harishkumar-rnmw]

Hi Dave, I got confused in the part choosing lower bound and upper bound between 2 cuves. Pls explain..

[johnsnow]

Was so thrilled when i did the double integral the other way from y/2 to (y)^1/2 and got the same answer! strangely that way took up less paper. Thanks for the solid content!

[millieh]

Can you do a video on Green's, Stokes' and Gauss' Theorems?