Triple Integrals, Changing the Order of Integration, Part 1 of 3

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I just wanted to let you know that I have watched your videos for explanations from AB high school calculus all the way up to now, 6 years later, where I am pursuing an economics P.H.D. at the university of Michigan. Thank you so much for all the help over the years!

chandlerinman
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Man I graduated with my EE degree 2 years ago and PJMT was the best source to build a strong fundamental in calculus. All these videos bring back great nostalgia. Much love Pat!

XxmortalxX
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Dude idk how you do it. You are hands down the best teacher I have ever known; amazing job as always man. Thank you :)

masoncdyer
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on a scale from 1 to 10, dawg u my nigga, like when i have my first wedding, u my best nigga u know

favio
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There's a special place in Heaven reserved for people like you!!!!

StefCrl
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you are the best calclus instructor in youtube history

overthetop
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almost 10 years and this is still very helpful!

ruthjin
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When I talk to other students about how they study for Calc, your name comes up often. Thank you for helping so many of us.

eday
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you are a legend, how have u not won an award for legendary explanation?

jaywong
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Final in 12 hours, and yet again this is the best review channel. You should be given all of the awards and all of the trophies.

daisyflat
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First time coming across this channel, the best decision I've made all day today.

tylerpaquin
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These videos will go down in history. Some day we won't need calc classes. Our kids will just watch these videos instead.

ballwizz
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I loved the way you explain how Z's bottom limit comes!

BFMert
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recently i watched video of double and triple integral solution ...it has cleared my all doubts, certainly it helped me lot ....i m feeling sense of enlightment, nt a single question is being left extremely thanks

Prashant
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Good clear explanation Patrick.
Thank you for helping us students, studying at institutions robbing us of our money while offering little more than an expensive examination service!

taladiv
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been through calc1, 2, 3, differential equation and got over B's for them all thanks to this genius.

paulringab
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My professor spent several hours desperately trying to explain what you just easily did in minutes, thank you so much! Feeling better about my upcoming exam :D

stephaniehiggins
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glad i could help :) just spread the word about the videos and that will be thanks enough :)

patrickjmt
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Patrick, unbelievable videos! Would not have passed first year calculus in college if it wasn't for you, please keep it up, thank you man!

LEEK
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I remember hating doing these when I took calc 2 but Im reviewing triple integrals and for some reason seeing these shapes in space and figuring out the limits is fun to me now

RayanMADAO