Double Integrals - Changing Order of Integration
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- čas přidán 2. 02. 2009
- Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! 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!).
For more free math videos, visit PatrickJMT.com
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!
Congrats for passing calc 3 . Did you get a A+ ?
@@aashsyed1277 No, he's taken it 6 times since his comment.
@@Capitan_Chaos seriously?
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
are you alive
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.
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simply setting the integral ranges to their respective variables makes the entire problem a million times easier. it's genius.
OMG thank you. I've been struggling with double integration for so long. Now it all makes sense!
Thank you! I love how you don't over complicate things, whilst simultaneously keeping the concepts intact to prevent wrote learning!
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
I don't think there's a better life saver on CZcams. You're the best.
Oh yeah, Thanks from Johannesburg South Africa
From Arabian Gulf thousands of thanks
We appreciate your hard work bro
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
Just what I needed! Thank you. The parallel thing really helped!
@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
This video was uploaded in 2009!!!
But this still helps a lot (lot->infinity) Math never gets old. Thanks Patrick
Thank you once again patrick. I have been struggling with this topic, and once again, you've saved me
I'm literally crying.
Not actually, but I'm at the equivalent of crying of sheer happiness. Thank you so much. Thank you.
Thanks man!!! Tomorrow is my test and I really didn't know what to do.... You really helped me... appreciate it man!!
After 11 years...You still help me😄 Thank you so much again for your video☺️
Best video I've watched for understanding was really struggling as most CZcamsr were using boxes this line trick is so much better thankyouu
Very well explained, thankyou so much looking forward for more videos.
thank you so much... I really needed to recap my multivariate calculus... your videos are immensely helpful
11 years later and this video is still very useful, helping me with my degree 😁 thank you Patrick
still useful!
@patrickJMT I have a question, please answer.
Why is the arrow at 3:39 towards right and not left after changing the order ? i.e., Why is the limit from y to 1 and not 1 to y ?
1 week before my final university exams and I've had to resort to this! Thanks for the help
+patrickJMT Is there other methods to figure out the limits without using graphs? I'm not good with graphing at all! : (
Why wouldn't the new y limit be from y=0 to y=x?
The outer integral limits should both be in numbers !
thank you! that explanation made much more sense
Wow you made this so simple to understand!
You sir are a wizard! Really simple and easy to understand explanation Thank you
This helps a lot PatrickJMT Thank you!
This was an amazing help, I really appreciate your videos! Certainly going to sub! :)
thankyou...your explanation makes me to love mathematics more :D
This exact thing was taught by my faculty and as like every other student I forgot it..... Thank god u have made a video....
Hlo
AMAZING DUDE !!!
HELPED A LOT !!!!
Omg thank you I was so confused on where to go from the sketch.
very well explained ,.. i got it in one shot.. thanxxx alot
Thank you so much. The video cleared all my doubts.
Thank you, I never would have understood my homework had I not seen this!
you can really teach! made it so simple! thank you so much!!!
hi there does the area being targeted have to be within the bounds of X= 0 and x = 1 ?
Hi, is changing order of integration can only be done with the graphing method?
when i saw you had a video specifically dedicated to reversing the order of integration i literally started clapping. go you, man.
Very nicely explained 👍👍
Good work
so you would want to swap order if it makes integrating easier right?
Thanks from the UAE! :)
Damn this good stuff, my maths lecturer at uni is terrible. Thanks a lot!
fabulous explanation of concept,really very helpful one
the best maths teacher out there
you are very confused but a king posted a perfect video when you were only 5 :D THANK YOU SIR
Thank you, this was so helpful. I didn't understand it before.
thanks in south Africa we call you a life saver
how do you identify limits in double integrals if limits for one of the integrals are given in terms of the other?
I can't believe... It was that easy😱... AWSOME Way of teaching ❤️
When changing the order in respect to dx first, why isn't the smallest boundary for the first integral 0 instead of x=y? since we know the line begins at 0.
Thank you very much! I appreciate it a whole bunch!!
where can i get the link for the x and y solution??
Excellent explanation. Thanks mate.
can you please make your videos to be in MP4 file format because i am unable watch them after downloading
you have a gift for teaching......but you already knew that
what would happen if I have two integrals both from 0-inf. When I switch the order, would they both still be 0-inf?
Patrick!!! you are just the best in it
patrick you are a master!! i totally understand it.stupid professors couldnt teach this simple idea.but you did it!!! thanksss
this video is really informative and it help me alot ..thanx
@patrickJMT is my teacher's teacher who is now teaching me 😁
immensely helpful bro thanks
i love ur way of teaching sir........valuable videos.......thank you....thank u a lot
@Aaroenz0r happy to help :) tell your friends!
this man has crystal clear concepts......
Thank you so muchhh, Patrick !
SUCH A GOOD REVIEW FOR MATH
Thanks a lot for this...GOD BLESS YOU.
this was incredibly helpful. thank you.
patrickJMT you are amazing.
in one word
AMAZING!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Thank u very much for your great support!!
you teaches really amazing..... thank you sooooo much
sometimes the limits of integration are very weird function and I can't graph them, any tips?
thank you very much... got an exam tomorrow and this has really helped
My professor taught this in quite the exact same way but the part where you swapped the dx & dy & then thought about the limits from that perspective truly blew my mind. It was something so simple, it was something my professor said for almost two whole hours, but i just got the trick. God, thanks to this video that was made when i wasn't even 5!! Thank you very much!!!
glad i could help make it click :)
@@patrickjmt :))
Vert good. Thanks a lot Patrick.
Amazing better than mi Lecture thank you sir!!
Thankyou!! Really help me so much
Bless you Patrick!
Your vide \os are really helpful. Thank you
I'm student from France ! A big thank you for your work !!!
You are very welcome!
I realised that the initial dx limits (in the first intergral - i.e. the left most intergral) these limits didn't change. they were from 0 to 1, and afterwards still 0 to 1, is this co incidence or is it always so?
You are a life saver man thank you very much
Can somebody explain why we would have to change the order of integrals in the first place? Why can't we just integrate with the limits as they're given?
Sometimes it is easier to integrate the opposite way. I know your comment is one year old but someone else stumbling upon this video might wonder the same thing.
Zach Grant yea I was, thanks :)
Thanks!
Like Zach Grant said, it might be more convenient to integrate with the opposite order. The other reason you might want to know this is because your teacher might give you a question asking you to switch the order!
@@zachgrant7809 Thanks bro 👍
Thank you so much for your help!
thanks so much, that really helped me a lot
Thanks for the video!
GARRRHHH!! THANKS A LOT!!. you saved me by teaching this b.c it might show up in my calc 3 midterm tomorrow :|! :)
I shall name you Math God.
Thanks for your videos.
Really great. Thank you so much :)
Thank you
you method of teaching is good and helpful
from Pakistan
you make it so easy, ty
I didn't see the point of doing this at first but then i realized if you change dydx into dxdy, if you had an integrand such as e^y^4, it will become a lot easier since y is now a constant =D
Thank you from Lebanon🇱🇧
Would it be wrong if the parameters of the first (inner) integral were 0 to 1, and the parameters of the second (outer) integral were 0 to x?
Is there a purely algebraic way to determine the new limits of integration, that doesn't glean the limits from the graph?
Thanks a lot! (From Catalonia :))
Thank you very much!