Double Integrals - Changing Order of Integration - Full Ex.

[spanman1024]

Awesome video. I was racking my brain on my calc 4 take home quiz until i watched this. Thanks!

[urdouchbag]

at 6:03...you used substitution....can integration by parts be used as well?

[SunriseAt2008]

Thank you for working out this example completely. It helped me out to understand changing the order of integration as well as calculating the inner integral.

[tulin56]

today's engineers owe you.

[vinodaraaj]

tankx

[farawlaiaa]

Hoe come in the "Calculating a double integral" you just changed the order of dy and dx along with the order of the 2 integral signs without changing the limits of the integral signs?

[trudal987]

I hope those austin allergies arent killing you!! Who is gonna teach me how to calculus?? Just joshin. Thank you kind sir!

[patrickJMT]

@trudal987 i <3 austin

[ezeella]

Thank you!

[rav1351]

Legendary!!

[Waccaldwell]

You, sir, are a saint. I am currently a broke college student. Please expect donation to follow when possible.

[K0ffing]

Man you are so cool

[krzysiekz91]

If you like his videos, make sure you click the ads so that he is paid for the video. Naturally, he is not allowed to tell you this - but I am. So do it !

[321boileranimal]

I was watching the MIT children do this on video but their video sucked. Other then their ability to write with a giant sized piece of novelty chalk I was not impressed.

[patrickJMT]

@321boileranimal hahahahha!!!!!

[filipina1992]

can you do a more difficult problem with double integrals that include "e" and "ln" please and thank you

[85natrapS]

This got me a problem on Wiley Plus. Fuck yeah!

[shubham9418]

thanks man for this video.........

[TheKennyMas]

Why does my Professor make it seem so difficult????????????

[fukutubejew]

FUCK MORMANS i hate youtube adds

[shitable]

is this fubinis theorem?

[cmanalo89]

This exact problem was on my final for calculus.

Except instead of 0,3 boundaries for my x, it was 0,6.

[ss99819981]

I love you man! Prelims sorted.

[CrackHeadForLife420]

YOU'RE SO CLEAR! :3

[Creamysense]

AUSTIN?! UT?! Come teach me!

[dopeythatme]

Please tell me you make videos for Calc 5 (cal for electrical engineers)

If you do not I'm not sure how will pass

[scottishtrinidadian]

you live in Austin? lets hit up 6th ST!!!

[cowzrule101]

Is there a way of knowing when to Change the order of integration? And on a side note, when is it ideal to graph it out, or is there a way to do these sort of problems without graphing them?

[patrickJMT]

@cowzrule101 you just have to look at what is being integrated and think about how you would integrate with respect to x and how you would integrate with respect to y. it may be impossible to do one or the other. i would always draw a graph - but you are basically using inverse functions

[cowzrule101]

@patrickJMT Because of you, I passed Calculus 3. Probably cause I never payed attention in class and just watched your videos the morning of the test. Haha, love your vids and thank you for your explanations!!

[cmanalo89]

@cowzrule101 Your professor would indicate to change the order of integration. At least mine does.

It would seem cruel if he/she expected you to integrate something out of this world.

[cowzrule101]

@cmanalo89 Actually, he sorta does... that's why we use Mathematica.

[tobywilson]

Thank youuu <33

[Ayplus]

Wow after watching multitudes of Patrick's videos, Im starting to have a strong feeling that he uses the Stewarts Calculus math textbook :)

[wiltuz007]

so we change the order of integration if the limits of a variable say x differs is in terms of another variable??

[weepeopee]

Thank You pattt!!!!!!!! ;)

[manisfru]

patrick u r genious......thnx....

[92310CAMILLE]

wow

[edijemeni]

My lecturer explained this concept so poorly that I tot it was impossible to grasp it but u explain it so easy that I feel dumb for not getting it. Your videos are amazing!!!!

[RowanB86]

Thanks a lot Patrick. Very helpful.

[letmego11]

Why do we use 'Changing order of integration'? why does not Fubini's rule apply to this type of integral?

[qrrak]

e^x^2 is a wrong expression. you are supposed to write e(x^2). e^x^2 can also be meant (e^x)^2. Thanks.

[xxxgrace25xxx]

hi! i just wanna say thank you.. cause you make it seem so easy! haha! i actually understand it after watching your vids.. thanks! (:

[hohodsj]

Could anyone tell me when do you need to change the intergrant when you are reversing the order of integration?

[who8myrices]

THANK YOU SO MUCH!! so much easier to understand than my teacher!

[Cruth8987]

Thank you, Patrick.. Thank you so much

[hohodsj]

AWESOME!! thank you so much!

[geetarwanabe]

so...

If I get a question that says "sketch the domain of this integral" ... i'd just plug in the limits to a little graph and the domain is the bit that you shaded?

[latehd]

Buenisima explicacion, libre de dudas para el examen gracias!!

[FBST979]

nice explanation and thx for solving my problem :)

[Pipescobarable]

I really appreciate your help.

thanks from Chile!!

[ginerva93]

thank u loads !!!!!

[danijeeves]

knowledge for free!! that's what the world is lacking keep up the good work!  :)

[Lyammaxwell]

legend...that is all...

[pablito12sc]

dont you dare die you hear meee!!!!

please dont die :)

thank you so much!!!

[TheAcehd]

YES lol this was literally the exact same question i had on my assignment

[gripNrip16]

Wow. The way my teacher was trying to explain this topic was blowing my mind. Your method makes it so much easier!! I've gotten through calculus 1 and 2 using your videos, and they're still a big help in calculus 3. THANK YOU!

[ensanefani]

You are a great teacher. I wish you were my calculus 3 instructor. Now I know, when changing the order of integration, how to set the upper and lower limits. Thank you.

[Jisongkun]

this is a really helpful video to me but using your hand as a eraser is not good lol~

[intheice]

Could you do a change the order of double integrals that have to do with arcsiny or arccosy. Example:

D={(x,y)| arcsiny <x<pi/2, 0<y< 1} where the f(x,y) = cos x * Squareroot (1+squared cos x )

If you do post: Can you email me at sander38@uaa.alaska.edu

[xmomojuice]

You're my hero.

Thanks (:

[AshtonTheGeek]

My compliments on your videos. They're awesome & have certainly helped me get through my Engineering degree thus far. Thank you so much.

[patrickJMT]

@AshtonTheGeek no problem. glad you have found them helpful!

[92Thuggy]

@AshtonTheGeek Ditto! I wouldn't have been able to get through all of these math courses without you, PJMT!

[Fre4president]

Thanks so much, much better then my schoolbooks !

[thepakman]

once I get a job (after I graduate).. I'm going to donate a lot of money to you because you helped me so much with calculus when I felt I was alone and would never get it. THANKS!

[iWaggD]

ow patrick you're so fine, you're so fine you blow my mind!

[cantabriver]

Patrick, you are the best mathematician on youtube!!!

[patrickJMT]

@cantabriver i am no mathematician!! thanks though : )

[jesca215]

@patrickJMT why are you not a mathematician?

[patrickJMT]

@jesca215 well, i do not do mathematical research, so i am not a mathematician!

[HumanTargetAus]

@patrickJMT Dude you should do mathematical research - the world is driven by people who excel at their areas of expertise 

[patrickJMT]

@HumanTargetAus well, i am probably a much better teacher than researcher. i am having much more impact making these videos than i would publishing some paper that only 10 other people in the world care about

[HumanTargetAus]

@patrickJMT That's very true...You are a very good tutor, and your work has helped me through my Engineering/Physics degree thus far. Thanks

[patrickJMT]

@HumanTargetAus my pleasure! i get much more satisfaction by helping a fellow nice human being than by doing research. in a university, it is all about pecking order... at least what i have seen. at one dinner with a prof in grad school, he was just berating other mathematicians and ranking people. i left dinner early. i refused to have dinner with such a lame person. of course, not all are like that, but universities have lots of politics involved, which i do not want to be part of

[S33DARTH]

Because of you I can now pass Maths II with a good enough score! :)

[chainhit]

I commend you for this video man. Instead of going to class I spent my time huffing ether and snorting suboxone, along with other drugs, and I thought I was royally fucked for the exam. I spent 2 hours trying to figure out what the hell to do from the textbook, and now I watched your video and I understood the concept in immediately.

I mean, I'm still probably going to fail the class, but god damn at least I stand a fighting chance now.

[jpantoja2009]

Congratulations, very good explanation

[poopdude]

Awesome! The example you just did was the exact same one I was having problems with.

Thanks!

[BearsDkills]

Awesome videos man.  Your thorough explanations helped me a lot with Calc 3!!

[tosyn33]

Too good to be true. I watched you solve this question this morning and is the exact question that came in No 7(c).

Thanks alot, you really made me a happy person today.

[tosyn33]

Thanks, I have 2 exams that involve change of integral today, my confidence has been boosted by this video.

[Djole0]

Very nice job, thank you very much, sir, u are very kind and generous.

[stefyburi1]

hi i just want to thank you for everything you explain, I love your videos

[patrickJMT]

@stefyburi1 glad you like them : ) just doin' the best i can here...

[samanark]

This was a homework problem I was stuck on; both my maths teacher and book are terrible at explaining this stuff, so thanks a lot! It wasn't difficult at all after I saw how you graphed it out.

[ryukenlmaoyes]

Nice, you make math more simpler for me :)

[fire2197]

Thanks a lot!

[lilerf]

Awesome Job!!!

It really helped!

Thank you VERY MUCH.

=D

[prats0403]

Awesome.. helped me alot =) good job

[coyotx]

how can you tell which regions to pick?

[StarlightForOneYear]

it helps me to understand double integrals!!!

thanks a lot

[StrawberrySong]

You explain this better than my math lecturer at MIT!!

[bagde001]

thank you very much.  this was very helpful.

[unshush09]

Man.. This is very helpful... Thanks

[Tommybotham]

Can I have your babies?

[TeimurazUK]

i love you

[szarlo]

sweet :D

[MrPaksoft2009]

Excellent,,,,,5 stars

[bronxville71]

THANK YOU!!

[Kodiak15]

Thank you so much man!

[AluminumBallers]

wow this really helps, thanks alot

[Losuol]

if you can't graph y = 3x I feel bad for oyu

[justintime303]

f**kin sick sir. seriously you rock

[EoinCondon]

if all professors were patricks the world would be a smarter place

[pratikr4u]

well there are a lot of professors out there who teaches same or better than patrick but what happen with students in college is that you cannot rewind professors back. While right here u can rewind these videos every time u dont understand patrick. So thats my point.

[pratikr4u]

well dont think i am a critic of patrick. I think patrick is the best professor he help me out in CALC 1 2 3 and Diff. so i will definitely do donation once my job starts.

Thanks patrick keep doing what u do for us.Omen

[EoinCondon]

haha i gotcha...I feel the same way.

[mahlerite]

You are great at explaining mathematics, Patrick, but I want to point out a small error in this video. At 0:57, you accidentally say that the linear function y = x/3 has a slope of 1 instead of 1/3. Best wishes.

[patrickJMT]

ops! my mistake : )

[xmintie]

Thanks!! This helped alot, I wish you were my instructer. haha

[An1MuS]

Nice videos Patrick. They helped me a lot. =)Thanks.

[patrickJMT]

glad to help : )

[elliesavet]

thank you so much!!you saved me!

[SimFreak99]

so so much better than my lecturer.

When you explain it, it makes sense. When my lecturer explains it, it's a mass of symbols and terminology

[stopjustgo]

wow this was the best, i've never understood double integrals so well. thank you!!

[DeTekMan]

great vids

[dlebar1]

Patrick, if I had money I'd give you bags upon bags of it. Thank you so much!

[scarface18707]

@dlebar1 lol hes a jew he'd love that haha

[Calculusman08]

Thanks so much Patrick. You're a lifesaver. I have a Cal 3 text in half an hour. Great Job!!!

[zabpowday]

I dont understand some thing. At the end went you find the integral by substitution, you solve the equation by using u=9 and u=0. Why you dont change by u=x^2.

Than this will give 9^2 and o^2.

Thank you for any answers

[ubasta]

patrick got the 9 from the u substitution equation

u = x^2

so the old limits were 0 to 3

so 0^2 = 0

and 3^2 = 9

[JRajashekar]

Thx

[ilovepatrickjmt]

very clear presentation!!! thanks!!

[eztropheus]

Man u are the shit!You rock!

[muddwell]

oi! what about when he dropped his pen !!! only kidding ... cool post dude, helped me alot.

[gtvacolossus21]

you have just saved my exam. thanx :)

[kamikael]

Thank you, it was very interesting.

I would have changed your last step though.

We do know a primitive of x|---> x.exp(x²) which is for all real x : x|---> exp(x²)/2.

Deriving exp(x²) gives a good hint of it.

Of course you get the same result in the end. :-)

It looks to me that the process is much simpler than changing variables.

[jasonguyperson]

i just keep seeing the word sex in calculus...

[patrickJMT]

its cause i make it so hot

[MicroTex23]

Patrick, thank you always nice to get someone else's perspective on calculus or Math in general..Keep up the great work, you are impacting lives. Great job

[clerlic]

This is exactly what I've been having problems with 2 days ago.

Thank you!!

[obbytoo]

Very clearly explained. Thank you!

[champion909]

Excellent video!

[patrickJMT]

thank u!

[kyousukeX]

thanks for the video! I been watching you videos since i was in calculus 1. lol

[patrickJMT]

ha, that is cool to know : )

glad people like them

[JondorZ]

Great explanation!! may be you can post a more complex question... thx

[manoj0072006]

great//!

[patrickJMT]

thanks!!