Double Integrals - Changing Order of Integration - Full Ex.

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 - Full Example.
In this video, I show an example of how to switch the order of integration. I also integrate the function to get the final answer.
For more free math videos, visit PatrickJMT.com

[@salmanhaider9588]

10 years later and you're still saving lives and giving people their engineering degrees. Thanks Pat.

[@pratikraut4767]

😂😂yes

[@b0unce805]

Amen to that

[@sosaof3007]

Here I'm doing Economics and need to learn this -__-

[@panagiotisdariotis3775]

14 years later 🤩

[@3recleintion]

jesus christ im here for engineering calculus...

[@O-J95]

i dont know how to thank this guy.

[@Atlas92936]

You can become a patreon and support him Link in the description

[@AlexandreG]

@@Atlas92936 nah, he mean with words. He doesnt want to spend 1$ to thank a guy or else he wouldnt say he didnt know how to thank him!

[@patrickjmt]

glad to help : )

[@Skulltroxx]

thanks a lot man :')

[@DarrenDIY]

Legend

[@misterrandompro6181]

og

[@KateOB93]

I love how basic you make everything, I'm so bored of lecturers complicating and confusing me with unnecessary lingo and explanations. I can honestly say you got me through my first year BSc Maths, now in my second and still watching you for help. Thank you for taking it back to basics!

[@KumarHemjeet]

a 700 page book didn't work but this 8 min video made my whole concept clear .thank you :)

[@KumarHemjeet]

@@bobby_fett yes !!!

[@jayanstanite]

@@KumarHemjeet You haven't felt your comment to be wrong yet? After 4 years...

[@KumarHemjeet]

@@jayanstanite aah..not exactly.

[@KumarHemjeet]

@CLaW PUBG Gaming yes bro ..aah feeling nostalgic.

[@ztl2518]

@@KumarHemjeet If you could go back in time would you still choose to major in engineering? Just curious

[@akihaanpaa3996]

First of all, thank You! I was revising for my "University math for engineers #4" -course exam (which is, frankly, tomorrow) and got really stuck with these double integrals especially hte changing order of integration. Honestly, I can't even describe how frustratingly I was almost about to give up. But now, all the challenges are overcome and I'm proceeding. Wishing You a happy spring!

[@mr.acholonu3519]

Did you pass the exam? I hope you did!!

[@akihaanpaa3996]

I really did, though not with the grade I was pursuing ;)

[@ibrahimsakr7461]

hope u done with your engineering degree by now

[@armandorevellorevello8347]

@@ibrahimsakr7461 and have a wife and kids

[@skyartineer]

Time it took Patrick to get me to understand this: 8 mins 35 seconds Time it took professor to get me to understand this: I never did to the infinity.

[@timolee8234]

SkyArtineer Try to not think of things in terms of how this is easy and how your professor teaches you something confusing. Remember that the professor is giving the information for a mathematics major- so for us, we need to have all of these other details. Patrick is (excellently) teaching applied mathematics here, not mathematical theory. With an understanding of theory, you should be able to apply it to anything. Its like the difference of being told how to cook a specific recipe, vs. being taught why certain spices go together and methods, and knowing how to cook anything.

[@BlackOps78321]

Timo Lee Agreed. I highly doubt some random guy saying he "understands this" after watching this video means that he knows it or even did well when tested on it. It just means you can look at it systematically or easily. However you have to know how to comprehend the entire process to apply it with 100% mastery. Even as a non-math major I understand this pretty easily. It helps a little bit to see all the steps properly but would I say that I now understand this? Nope. It's just in my short-term memory.

[@Eric-ur3dd]

+Praetorian You guys really showed him!

[@alkingshefo]

exactly but my professors just focus so much on the theory and forget about how students should apply and eventually gives us very hard exams (and i mean really very hard) that we cant solve ? trust me knowing the theory without knowing how to apply is just useless so i watch professor which actually gives me the theory in a better way and gives examples but takes a long time

[@aaaaaawda]

SkyArtineer hahahuwwhahahauahahahaa so true this nutty profs want to explain things to you that would take you at least 30 years experience in maths

[@marklee1194]

I do not know why many textbooks cannot teach as clearly as you do. Perhaps you understand the difficulties of a beginner learner. This was an amazing explanation.

[@richmondstarbuck9881]

I spent hours pouring over my lecture notes and Calc III book trying to understand this topic without success, but 4 minutes into your video it made complete sense to me. Very well presented--it's incredible to me that my Profs can't explain these topics with 1/10th the clarity. I think your videos are going to become my go-to source for learning new mathematics concepts. Thank you so so much Patrick!

[@ChaoticMonado]

Dude, you are a life saver! I came across this example randomly and was able to use your step by step guide to help me with my Reverse Order problems! Thanks!!!!!!!!!!!!!!!!

[@ChaoticMonado]

SUBBED!!!!

[@CasperA]

Calc 2 exam tomorrow. Videos like this are a life saver when you still have two weeks of work to do.

[@samorwhatever4485]

15 years later and this is almost the exact problem i have on my homework :)

[@mathCS1233]

13 years later this is still helpful :) :)

[@StrawberrySong]

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

[@LilDark]

i have a calculus exam after 2 hours, your videos allowed me to understand everything i took in the last 3 months. thank you :)

[@yulchaudhary9244]

13 years later and you still saved me from failing cal love you man

[@Irfanlesnar]

U uploaded in 2009 I was watching in 2019

[@2023vaisertopyn8hc]

Me too

[@eikichionizuka2090]

Same

[@catnhihu8833]

Me too

[@muhammadseyab9032]

me too

[@deepakYouTubeaccount_]

Me too

[@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!

[@harrisonjacob7042]

14 years later and this video is still saving me hahaha! thank you!

[@kingamoory1501]

13 years later.. You are still a beast!

[@xaviorjr.6291]

I m here after to watch 12 year old video , which still cleared the concept perfectly for the question that came in my exam... Thankyou

[@caleb12387]

Thank God for this man otherwise I would have never passed calc. 1-3. I paid around 8,000 for all my calc classes including drops; I would have much rather wrote him a check for 8,000 and could have done it in half the time. Not to mention he actually deserves the money instead of my teachers who do absolutely NOTHING!!!! Patrick I doubt you see this but know you da real mvp and the GOAT

[@chinmaychaudhari5689]

broooooooooooooooooo.......you are a genius................my tutor taught this to me...nearly 5-6 times....but still it did not enterd my hard skull,but i just walched half a video....its miracle............i got thatk,,,,,,,,easy to understand.........live long sir/brother

[@Sarelzayeth]

Just to say, you helped me with my A levels, and now you are still helping me with the second year of my degree! Without this video, I could not have changed limits of a continuous-time Markov chain integral to compute the probability of a state being reached before an exponentially distributed alarm clock going off. This turned out to be the Feller process resolvent of the first hitting time density function at the exponential parameter of the alarm clock! Fantastic quality videos and a great graphical representation! 10/10

[@darkdingo600]

watching your videos for 3 years in a row now (calc 2, ib hl, calc 3). best teacher

[@MGtvMusic]

Watching this is May 2020 One day before my Maths sem And It's all crystal clear Thanks to you Sir

[@Escap1st7]

Found this very tricky and complicated to grasp, because my lecturer decided to make it sound as complicated as possible. You simplified everything. Thank you!

[@NIPUNAPEIRISPR4NK]

This very same principle in the university study guide gave me a headache, but you made it look like a walk in the park. Thanks a lot, man, ya'll should be the ones making thousand of dollars.

[@farbodmirkazemi6378]

It's 2021 and this 8 min video helped me more than a hundred-page book and 2 hours of calculus class.

[@patrickjmt]

you are very welcome!

[@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.

[@hayzeqeiqbal]

That's never coming out to my mind till my tuto and lecturers exposed this idea. Thank u, sir.

[@lanomusambazi-tx2eg]

Thank you sir. At least I'm getting some sense from your explanation. I was blank completely. I have never done double integrals before. I'm learning this for the first time. I want to understand more on integrating double integrals before changing the order of integration.

[@RangeK1D]

I am doing a one month Vector Calculus course. Exam is coming up in less than 9 days and you are saving my life and my GPA. Thank You So Much For This! You Sir Are The Real Deal.

[@v1k1i58]

i have only one doubt why i pay thousand of dollars to my collage if i understand all my collage lectures from your channel i really want my money back and i want to donate to your channel

[@bennetth2046]

College*

[@nellvincervantes6233]

Cause no diploma just by watching youtube. Sad but true

[@marcinkania3033]

Patrick. I really appreciate! I spent 5 hours with no luck. Now, I know! It's so easy. Thank you so much

[@arnavchauhan9637]

thanks lord patrick i was confused about putting limits from graphs but u made it clear

[@mariellegalesiasico7515]

15years later and you’re still saving my second sem hahaha

[@tosyn33]

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

[@tosyn33]

@CLaW PUBG Gaming 😄😄😄😄 Revisiting this after 10 years!!!! I think I aced the exam.

[@dekiverse]

​@@tosyn33this is such a moment 😂😂😂😃

[@MohammadMahadiHassain]

Thank You From Bangladesh You saved my exam

[@halflight8811]

cant believe how complicated my math lecturer made this. thank you

[@nurainnajwabintimatsaat5044]

It's 3 am and I'm struggling to finish my tutorial questions that will be due today. Thank you for giving me ideas to finish my tuto!!! :)

[@enjyali3359]

12 years later and I'm studying engineering and this has helped me , thanks❤❤

[@Savvy07]

This is the best and precise explanation to change of order of Integration👍

[@syedazainabbokhari850]

aight 12 yrs later- man this video is so helpful. tysm

[@patrickjmt]

good luck on the exam!

[@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!!!!

[@jeanpierregandara3692]

Got me through calc 1 and 2. Finally reviewing for my calc 3 final tomorrow! Thanks Patrick! You got me through with all A's

[@seemyskills1]

The teacher I never had, this made me love maths again

[@toasawamura364]

PatrickJMT saving lives out here.

[@JamimaNasir]

Thank you so much! 6 months of time wasted on something you explained in 8 minutes. You're a hero!!!!

[@patrickjmt]

happy to help :)

[@kgt94]

Subbed for life, saved me for my final thank you... it makes it so much easier to look at if you make each part of the integration equal to x or y according to the order of integration

[@SylComplexDimensional]

This is omitted in my book's section but is required to understand for the exercises so Shoutout because you're the man !!

[@OhlordyOh]

Helpin out us in 2020 11yrs later. Bless

[@shifte8014]

By far the best explanation out of all the videos I've watched so far, thank you!

[@tomhyde8034]

Great explanation saved me with my university course work 11 years later!

[@ayeshasaddiqua3784]

Thank you sir my concepts were not clear before this. This is really helpful.

[@EoinCondon]

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

[@patrickjmt]

well, if the question is: how do i integrate arcsin(x), you use integration by parts.

[@itsmeyaboi6721]

It’s been 11 years, but this video just saved me 🙏🏻

[@Ragehunter]

Wow I'm in shock right now, I CLEARLY understand the point how can we changing the order of integration! Thank you sooo much man 🙃😊

[@cedovitor9536]

Saved my day as trying to understand homework. Thanks Patrick kindly.

[@patrickjmt]

glad it helped ya out!

[@Lostsoullofi64]

I am in very difficulties to do this questions. I don't really understand how to change limits but your method is awesome

[@lbgstzockt8493]

This kind of problem becomes a whole lot easier once somebody actually explains how to do them...

[@PastaconKetchup]

You were born to teach... Excellent!

[@jpt7331]

i just realized how much my math teacher sucks!! we need more tutors like you

[@abhishekkumarsingh6455]

As simple as it can get ,he made it look easy

[@ilgapr24]

Thanks Patrick! From India with love

[@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

[@sleonhart]

Just wanted to post a message to say that I really am thanksful for all these math videos, they help me so much, thanks!!!

[@Top10world-h5u]

Thank u so much bro .... I'm going to attend my exam tomorrow and this concept will save my 4marks .... Thank u so much ❤❤❤❤❤❤❤...

[@rayliu4351]

Not the hero I deserve, but the hero I need. Thanks!

[@DocHolidayKY99]

Aug 5 2018 - 9:21PM: Calculus 3 final in less than 6 days now and I'm on the verge of failure. I had no idea how to deal with this stuff until now. Thank you professor.

[@reagandavis4614]

This video was very helpful. To the point, easy to understand, and very applicable to different problems. Kudos!

[@chhasnat9539]

Thank you man from Pakistan

[@UsmanMughalprogramming]

haha q aap ki universty k professor thk ni hen?

[@plutomessi21]

you saved me my friend. Thank you for your time and knowledge. god bless you.

[@curtistrinh5654]

5 week 3 day math course starting from 7/1... got a 91.1 percent on first midterm.. 2 hours from 10-12... MTWR,, i feel like i have no time to study everyday! ( every day im either going to the gym with my dad 6-7 PM till about 8:30 PM or bowling at 5 or 6 PM ! It's really hard making a schedule for myself, in college i could fully study for hours on end.. now it feels like time is sand slipping out of my fingers.

[@tanyathep1]

thank you. im in undergrad struggling with multivariable calc, literally tysm

[@refugeeca]

ironically this is the exact double integral that i stopped to youtube for help on double integrals

[@charlinegarcelon1449]

Best explanations ever despite not in my home language👌Things we're expected to know in exams but that are never taught.. Thaaaaaank you so much!

[@bleackened]

it's about to 4am now and it just helped a lot for my exam which is tomorrow:)

[@usamashah9903]

you made this so easy....ty for saving me from failing :)

[@theiraqi1985]

you are the best teacher I ever see thank you very much

[@iantrankinful]

For the second year in a row, Patrick, you are saving my butt. Thanks a bunch!

[@Pooh0Bear8]

wait that is it!?? it's really that easy????? Woo, students can really make subjects much more complicated than they are :) Thank You Patrick for bringing this subject back to reality; much love for your work.

[@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!!

[@m.svinayak7277]

Tqsm, u helped 10 guys with me in an exam!!!!!

[@patrickjmt]

you have a good day too :) glad i could help

[@dlebar1]

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

[@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

[@Slycooper2456]

This example was perfect for me, thanks Patrick.

[@VHflyboy]

I was stuck on a problem like this...great vid.

[@themiyack6192]

still watching it even after 10 years !! ❤️

[@patrickjmt]

still reading even after 10 years!

[@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 !

[@ankita_pal_0305]

Thank you very much sir. I searched over 50 videos but none could clear my doubt. But sir, please cover the complex integration chapter. This chapter also is tough to me..

[@ucla10101]

Oh my goodness. I've been stressing over these problems for hours. Thank you

[@jaelbutler7966]

Thanks for this video and the first one. It really helped make sense of how to switch the order of integration and then changing their respective bounds. Thanks, I really appreciated this!

[@leticiaaquino1037]

Thanks from Rio de Janeiro - Brazil

[@mustafamohammed9453]

This is so useful, helpful and comprehensive! Thanks a lot! I have engineering maths second year level exam tomorrow and this was handy lol I shared your site on facebook group with another ~100 screwed students for tomorrow :L

[@rentaraman]

Thank you, thank you so much. I only came looking for help with the double integral part but you helped me (a dumbass) understand the whole region thing in about 5 seconds too. For this I applaud you. Ya fookin genius! Have a good day!