Double Integrals - Changing Order of Integration

In this video, I show an example of how to switch the order of integration. I DO NOT actually integrate the function (but do in another video!).

[ethanswoo]

patrickJMT I've been watching your videos since 10th grade algebra 2... Now I'm in Calc 3 and your videos are STILL helping immensely. THANK YOU!

[BankofVietnam]

i spent 50 minutes trying to figure out how to do this cus i kept looking at the wrong region, but then once i nearly gave up i went to youtube and found ur video, and u just drew that arrow and it seemed like the whole world just opened up before me. thank you so much. i nearly cried realizing how simple it actually was. thank you

[kjfox]

You have this in 4 mins better than my teacher did in an hour, and I would consider her a really good teacher. Well done, sir! I cannot express my thanks enough.

[patrickjmt]

@laurendawe well, often times, it may simply be impossible to do it one way or the other; it really just depends on the function you are integrating. so no, i can not see how there would be a general rule

[Taterzz]

simply setting the integral ranges to their respective variables makes the entire problem a million times easier. it's genius.

[patrickjmt]

@tunaisworthnothing no, it is not the same.

[PoohBear]

THAT GRAPHING TRICK
my mind is blown away, WOW my life has just become so much easier

much love to your work, and the impact you make so many students lives

[emaciatedwatermelon]

I'm literally crying.
Not actually, but I'm at the equivalent of crying of sheer happiness. Thank you so much. Thank you.

[bobbobly]

Why wouldn't the new y limit be from y=0 to y=x?

[MrTurtlechelle]

Thank you! I love how you don't over complicate things, whilst simultaneously keeping the concepts intact to prevent wrote learning!

[mohammadabdullah]

From Arabian Gulf thousands of thanks


We appreciate your hard work bro

[patrickjmt]

@rminb010204 i would, except i do not want to deal with: 1) terrible pay 2) red tape/administration junk
3) teaching to an AP/standardized test 4) parents. otherwise i would not mind it at all...

[patrickjmt]

@Aaroenz0r happy to help :) tell your friends!

[yousifshukry]

you always save me i never paid attention at the class while the professor explains the material, so i come home and watch ur videos and always getting A's. thank you Patrick you'r the best

[omegapaladin]

11 years later and this video is still very useful, helping me with my degree 😁 thank you Patrick

[BeNzInE]

I don't think there's a better life saver on YouTube. You're the best.
Oh yeah, Thanks from Johannesburg South Africa

[zohaa.]

OMG thank you. I've been struggling with double integration for so long. Now it all makes sense!

[shwzr]

1 week before my final university exams and I've had to resort to this! Thanks for the help

[chrischauhan]

This video was uploaded in 2009!!!
But this still helps a lot (lot->infinity) Math never gets old. Thanks Patrick

[k.lalduhawmi]

After 11 years...You still help me😄 Thank you so much again for your video☺️