Triple Integrals, Changing the Order of Integration, Part 2 of 3

[@DragonKing3010]

Got it in one sitting, and i'm defiantly not talented, you're the best!

[@lynxfl]

definitely*

[@LordMurdocka]

I think he meant defiantly. He just refuses to be talented. He could be talented, but good luck getting him to be.

[@jennievan7844]

@@LordMurdocka ty for giving me a chuckle while i struggle with math and resort to watching videos to teach myself

[@hovhadovah]

This is a lifesaver because my textbook did not explain how to do this, and my professor didn't even cover the topic. However, it ended up on our homework. I would not have been able to understand this without your help. Thanks, Patrick!

[@litcy02]

Patrick you are my hero!!! Although thanksgiving was yesterday, I want to give thanks for having you in my life since Calculus I, always there, helping me understand math, a problem at a time! Thank you!

[@dmelnick00]

So, I just gotta say. Thank you for explaining this to me in practical terms, instead of trying to force me to understand it using hundreds of proofs. Sometimes they start to swim around in your head and actually don't even show you the operation when you sit down to take the test!

[@PhanteusZ]

Why can't my textbook explain like this? In fact, my textbook doesn't even show examples in anything other than dzdxdy or dzdydx. You are a god!

[@burnfrais]

You beautiful creature! I missed these lectures and couldn't figure them out for my life. Tomorrow is my final and keeping the tradition I came clicking at your channel. and Hallelujah you answered and you answered elegantly gracefully beautifully and in 720p. Thanks you friend

[@palvindarchhokar9821]

I'd say it's the latter and not the former! You explained it pretty well man! Props :)

[@peiyingwu3036]

Very clear and useful. I feel confused in most of my lectures but I beat my assignment easily after watching your videos.

[@maimouna704010204050]

Thanks Patrick, you are saving me from failing the class. Thanks tons. I wish I knew about you before I failed my calculus 2. I am grateful to have you in my life now! Thanks for what you do!!!!

[@MrVoayer]

Your videos are excellent, Patrik. They are well explained and well concieved. You really deserve high gratitude.

[@jeremydude1012]

Thank you so much. Explaining it with the 3D diagram really helped. Triple Integrals make so much sense now. I could never figure out the integration ranges before.

[@joshuapangilinan1104]

6:40 The limits for the y-coordinate is right, just the way you pointed it out is wrong (left to right, not down to up). Just sayin' cause' it might confuse other people

[@GH69107]

Haha thought the same thing. Thanks

[@mamute290595]

You helped me so much. I learned in a few minutes what my Calculus teacher couldn't do in several classes. Thanks a bunch!!

[@Witness1037]

About to take my vector calc final, just watched all your videos on double and triple integrals! Thank you.

[@Psychofear]

this video finally gave me that click, we did some exercise in class, but I never quite figured out how to exactly get those limits. Thanks a lot!

[@patrickjmt]

glad i could help :) spread the word!

[@jebwatson]

I beg to differ sir. I'm understanding this well even the first time through, and I would certainly credit your teaching before my ability to understand. Well done.

[@jz8635]

Only confident enough to take Calculus III knowing you had videos for it! THANK YOU PATRICK!

[@matthewbarrett4971]

This may be the best triple integral explanation on the internet.

[@AdelineDucayne]

You saved my life!!! tmr i mean i today i'll be having cal II quiz (i should have seen this before!!) so i don't have to go to lecture and sitting there mindlessly jotting the lecture!)

[@emilytatarian8600]

THANK YOU! The tent analogy works very well.

[@ThePacemaker45]

Its the latter bro. You're amazing. Thanks

[@habibdanial8342]

6:35 you projected on z instead of y however it's still the same answer since the boundaries 0 and 1are both for x and y. Anyway thanks alot that was really helpful!!

[@seohyeongjeong]

Hey Patrick, thank you so much! You're a great teacher

[@patrickjmt]

'thank you' works for me :)

[@nelannebolima9624]

thank you

[@ilkeuyankerstudent5347]

This topic is definitely so hard but I kinda understand it now thanks to you:)

[@SomethingCool51]

3 hours out from a Calc 3 exam, this helps out a lot.

[@SupremeNoble]

What? This is super easy to understad, you sir are doing an awesome job!

[@thisGuyCodess]

lmao my hope for tomorrow's calc 3 exam has gone up from 0% to 10%. thanks mate!

[@rockyguinto2325]

hi whats up buddy.. I have to say you did a very great job helping people that struggle with maths and for some people like myself who is quite preoccupied with daily stuffs yet whenever i do have spare time i race to my book and notes to learn math again- so i find your channel very very very useful and we are very grateful for that.. ^^ if could request you something bro is that, im working my way up to calculus here my man, hoping next year or 2 years id be able to get back to University,. thats why little by little i want to self-learn so if that time comes things would be easier.. hence asking you a big favor if you could just give me an outline on which of your videos to go first- that would make my learning be more organize. i mean, if i go algebra then trigo etc,. coz im embarass to admit that most of the playlist you created sounds all greek to me.. :( so there, bro if you could spare time helping a brother in need.. i promise you my engineering diploma. thanks. many many thanks.

[@tucao8544]

You are awesome!

[@KatiTul192]

i have a midterm tomorrow thank you so much!!

[@Thadnill]

I can make a compromise, I am talented and you are also a great explanator! Yes I made that word up

[@Cyxixs]

Thank you for these vids---- helped me alot

[@BramJam]

You are so helpful Patrick. What's your motivation for doing this act of kindness?

[@FullBloodedAznGrl]

You're the best at explaining!!!! :)

[@dogukankalaycoglu7618]

yo patrick you are the best in the bussiness. Thank you very much.

[@patrickjmt]

Glad you think so!

[@DonMiguelQuixote]

Great job, these videos are really helpful! Keep up the good work!

[@mehranahmad7520]

Man, This video really helped, keep up the good work mate

[@PtotheMtotheJ]

Thanks, Patrick!

[@A113Productions]

I haven't even taken multivariable calculus yet (will this fall) but these are really great videos, I don't feel as worried going into it now!

[@richardpraesto]

why do I keep going to school when I have youtube..?

[@chrisjfox8715]

A thorough, free education is definitely available to those who want and can benefit from it, but also realize that the advantage of actually being in school is the ability to interact with this instructor on-the-fly (i.e., ask questions) and working with your peers.

[@martinsp005]

Christian J Harris not to mention official certification in a certain subject.

[@CrushOfSiel]

Martin Parobek My thoughts exactly... You need that degree. I started going to college for the first time about two years ago. The cool thing is I did a lot of self study about math and physics because I'm a nerd and now it's pretty stress-free for me at the university. Off topic though, definitely stay in school otherwise all the knowledge you gain is just useless as far as the job market is concerned.

[@richardpraesto]

CrushOfSiel Martin Parobek Christian J Harris ... and wouldn't it be great if they taught you in school how to tell when someone is making a joke? :D

[@CrushOfSiel]

I don't think anyone of us took it that seriously. It was more of a fascinating side conversation fueled by your comment. It pertains a lot to me so I thought I'd weigh in.

[@AlejandroVRivas]

Thanks! It was really helpful.

[@malleharana8326]

Thank you! You are a life saver!

[@jamandeel3071]

great vid bro

[@sog2531]

패트릭 존맛탱~~ Thank You~~

[@patrickjmt]

glad i could help you out :)

[@yoite70]

thank you patrick!!!!!!!!!!!!!!

[@diegomartinez755]

YOU JUST SAVED MY LIFE

[@jonaboy3]

Me too!!! Good luck

[@bobseagull7600]

Very helpful so thank you, but at 6:39 instead of pointing at the highest y value ou pointed at the highest z value.

[@patrickjmt]

perfect :)

[@JDMaxton1999]

Got it in one sitting but I know I'll mess it up when I do it 😂

[@patrickjmt]

gotta practice and not just watch! :)

[@patrickjmt]

that's the spirit :)

[@marcushendriksen8415]

Is it a general rule when dealing with triple integrals that the variable not included in any of the limits of integration is the one being integrated with respect to in the inner limit?

[@dylanmack7650]

thank you so much

[@johnlorenzmorales3552]

Nice help

[@grovestreet9165]

Salute you buddy

[@3bdullah830]

I note the same mistake ,, but if he go through the Y axis he will get the same values :) Mr.patrick I really want to study a course with you ,, can I ??

[@musicalbandashorts4383]

Thanks a lot

[@micky9217]

I appreciate your videos but you made a silly mistake in that one, you showed the z axis when you wanted to talk about the biggest boundary for y. It's okay though because not only do I understand, I can catch mistakes. THANK YOU GOOD SIR!!

[@havilahgold2942]

So the integral closest to the center will always be a surface? and the outer most will be bound by numbers and the middle will be either x=? y=? z=?

[@dmelnick00]

So you're right about the first part. The "inner most" integral in the expression describes the surface. After that gets integrated, one could imagine collapsing the shape down on itself, into a 2D region D or R... the one you integrate first is the "surface" and can any variable x y z (any), which is why you are able to switch around the order of integration in the first place. It makes more sense after you learn green's and stoke's theorem. And stop thinking in terms of numbers ASAP.

[@divinechijindu7465]

Dang, this video is old.

[@shehabalsiyabi6077]

Perfect

[@jasmineoliver518]

where's the love button?!?!

[@marksmith757]

KING

[@pochacoomelody]

must i graph the 3D picture in order to do it? what if i suck at drawing the 3D picture, i can never draw it right. (or i dont know how to make equations into graphs...

[@A113Productions]

oh okay, I thought I was the only one who noticed that

[@subhasishsarkar5106]

if i integrate wrt x, from y^2 to 0, does it make a difference? the integral shouldn't change right? after it, the double integral is easy to solve.

[@itachiinblue]

beautiful

[@vitoralves9850]

thx

[@abguher]

After I graduate, I am totally giving a generous donation. You have helped me so much! You guys should do the same, there is a "donate" button on his webpage (patrickjmt). I think that is a great way to say thanks.

[@AllenAK49]

You can't skip this Geico add but you can mute it lol!

[@CrushOfSiel]

Yay, I'm apparently really talented!

[@RafaSyed]

no he explained well

[@tonysawaged5839]

Your a fucking Boss!

[@xviperzero]

it is easy if someone draw the diagram for you

[@frogger832]

I don't know how to thank u.

[@Veritech]

It's the latter lol

[@kjzackchiu8572]

Wow! this is simply awesome! subscribed, I'm ur bitch now

[@paulzeng6211]

Not the best explanation. Try to explain without diagrams, how would you do it?

[@violinsheetmusicblog]

I bet the smell of those sharpies gets annoying...

[@josephm.6453]

former less than the latter :D

[@mhmmmmmmm]

you beautiful man

[@GH69107]

Patrick using tent and shooting examples to attract islamist viewings and boost his channel, just like the fake media channels. Sad!