How to Set Up Double Integrals

Double integrals can be used to find the volume under a surface, but how exactly do they work and how do you set one up?
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This video was funded by Texas A&M University as part of the Enhancing Online Courses grant.
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The animations in this video were mostly made with a homemade Python library called "Morpho". You can find the project here:
github.com/morpho-matters/mor...

Пікірлер: 90

  • @4thalt
    @4thalt7 ай бұрын

    did I just stumble upon Morphocular's old channel

  • @hydropage2855

    @hydropage2855

    17 күн бұрын

    I knew this voice seemed too familiar I just couldn’t tell from where

  • @clarabartusiak4540
    @clarabartusiak45403 ай бұрын

    As a very visual math learner, this is the best video I've seen explaining double integrals -- priceless.😭🙏

  • @willyh.r.1216
    @willyh.r.1216 Жыл бұрын

    For me, this is the best visual explanation of double integrals. Thank you.

  • @10-den-see
    @10-den-see9 ай бұрын

    Couldnt sleep...its 3:30 AM was thinking about what could possibly be a practical use of double integrals...or how do they work to solve a practical problem....and there you go....found the perfect vid

  • @clayton97330
    @clayton97330 Жыл бұрын

    This is magnificient! This is the perfect way to explain this concept.

  • @ilgnsogut3715
    @ilgnsogut3715 Жыл бұрын

    These A&M videos are the best, perfect visualization

  • @AliEgemenB
    @AliEgemenB3 күн бұрын

    This is legit the best video on this topic. Awesome work.

  • @ulisespachecosanchez5058
    @ulisespachecosanchez50584 ай бұрын

    More than important to understand the dimentions in the double integres, thank you

  • @abhinnkaushik6534
    @abhinnkaushik653411 ай бұрын

    this explained such a complicated idea beautifully.

  • @user-zh7pu9kk6j
    @user-zh7pu9kk6j5 ай бұрын

    bro this is what I was looking for, spent hours trying to self simulate and understand what each integral does. Thanks. keep making such videos about other topics also. IMPORTANT: also please tell which tool/graph calculator are you using.

  • @shrivel-vy5kx
    @shrivel-vy5kx2 ай бұрын

    this was seriously such a great help, amazing visuals, thanks for posting such helpful content!

  • @sciencetechnician8787
    @sciencetechnician87874 ай бұрын

    Amazing explaination !! Really fond of such videos , need more and more videos on such interesting concepts...

  • @arims8346
    @arims834611 ай бұрын

    you had just saved my whole semester, thank you sooo muuuuch

  • @HasibUddin-tb8uk
    @HasibUddin-tb8uk Жыл бұрын

    Best visualization Ihave ever seen...thank u so much sir 😍😍

  • @lux-nocopyrightmusic
    @lux-nocopyrightmusic8 ай бұрын

    Best video on this topic!!! Finally got it:)

  • @IntegrationEnthusiast
    @IntegrationEnthusiast4 ай бұрын

    Thank you Sir for your animatical explanation. It seems pretty easy.

  • @punditgi
    @punditgi2 жыл бұрын

    Beautiful description! Well done. Makes it clear as a bell. 😃

  • @dominiclederer9564
    @dominiclederer95642 ай бұрын

    Im a visual learner and this was incredibly helpful, thank you !

  • @pseudovictim
    @pseudovictim Жыл бұрын

    Brilliantly explained! Thank you!

  • @storminmormin14
    @storminmormin147 ай бұрын

    This was fantastic. Thank you so much!

  • @big_creamo
    @big_creamo7 ай бұрын

    Phenomenal video for conceptual understanding

  • @wafialfaruqhi6860
    @wafialfaruqhi6860 Жыл бұрын

    you deserve more views great content

  • @georgesadler7830
    @georgesadler7830 Жыл бұрын

    Thank you for the video/lecture on How to Set Up Double Integrals in Calculus Three.

  • @benarkonovich4581

    @benarkonovich4581

    5 ай бұрын

    yk you dont have to capitalize every word right

  • @atulverma3033
    @atulverma30336 ай бұрын

    Desperately searching for this video ❤

  • @chetankadiwal2259
    @chetankadiwal22599 ай бұрын

    So satisfied being Engineering student Ton of thanks

  • @kikou_
    @kikou_3 ай бұрын

    Very well visualized!

  • @only1tiberious
    @only1tiberious4 ай бұрын

    Very helpful, I've never taken calculus or anything above algebra yet, but this definitley expanded my knowledge on how these work.

  • @BrodieMitch

    @BrodieMitch

    22 күн бұрын

    must be decent at geometry though

  • @rajeewprasath7879
    @rajeewprasath78792 ай бұрын

    The best explanation ..🤟

  • @user-wq4yl9nb9z
    @user-wq4yl9nb9z22 күн бұрын

    The best visualization. thank you ❤

  • @yashsingh6508
    @yashsingh65085 ай бұрын

    Amazing visuals!

  • @tangpiseth8416
    @tangpiseth84162 жыл бұрын

    This is great!

  • @ryansafta8800
    @ryansafta88007 ай бұрын

    Most beuatiful video ever, thanks you

  • @jonathanpopham5483
    @jonathanpopham5483 Жыл бұрын

    Great video!

  • @AJ-et3vf
    @AJ-et3vf Жыл бұрын

    Great video. Thank you

  • @chrisduo1098
    @chrisduo10987 ай бұрын

    what is the best video to let us understand the topic easily

  • @Tarifkhan-kd9px
    @Tarifkhan-kd9px2 жыл бұрын

    Thank you🙏

  • @user-mr5cm7yh6h
    @user-mr5cm7yh6h3 ай бұрын

    Thinks so much I was so interesting teaching. Unfortunately in Afghanistan it will be so hard to we know about that. That's your help with us. Best regards...

  • @alifardanqureshi2969
    @alifardanqureshi29692 ай бұрын

    how did they manage to describe something so complex in a complex way and still made it not look so complex HAHAHAHAHAAH

  • @user-ny6gw9sv6i
    @user-ny6gw9sv6i3 ай бұрын

    love you, so helpful!!!

  • @RogasTV
    @RogasTV Жыл бұрын

    Yes! Thank you for the explanation. It has finally clicked. The key information for me is that the inner integral returns a function, not a value, like a single integral would do. So the inner integral contains the information about the curvature. It’s like function currying in programming. That’s a like a and a sub :)

  • @jayp9158

    @jayp9158

    5 ай бұрын

    Yes, that was my fav part of the video as well. The other videos never bother to explain the integral's bounds.

  • @darklordyt5980
    @darklordyt59803 ай бұрын

    lovely video🥰

  • @salsalazar7646
    @salsalazar76466 ай бұрын

    This is awesome😮🎉

  • @krumpy8259
    @krumpy8259Ай бұрын

    Thank you for the video. My questions: 1. what is the function for that red solid at 1:20? 2. what would the function be if the rectangular part of that red solid had been parabola shaped as well?

  • @wanmanchannel189
    @wanmanchannel189 Жыл бұрын

    What program did you create?

  • @atulverma3033
    @atulverma30336 ай бұрын

    Incredible 👍

  • @GulzarAhmad-sw1kh
    @GulzarAhmad-sw1kh Жыл бұрын

    Excellent

  • @kuba2344
    @kuba234410 күн бұрын

    Thank you so much

  • @Mahm00dM0hanad
    @Mahm00dM0hanad Жыл бұрын

    I can not thank you enough

  • @geektoys370
    @geektoys3707 ай бұрын

    The first time you said we determine the variable by the axis perpendicular to the slices ( 1:30) but then when the parabola came you said “ parallel “ [ 2:55] I mean what? Can you explain please

  • @benzene979
    @benzene9796 ай бұрын

    thankyou very much

  • @Impedance_Z
    @Impedance_Z6 ай бұрын

    I am confused like for the parabola case moving along the x-axis shall only reduce the bound of parabola along y-axis how is it decreasing it's height i am not getting it ??

  • @riflesightsonme2120
    @riflesightsonme2120 Жыл бұрын

    Amazing

  • @user-hi5fb6xf9t
    @user-hi5fb6xf9t4 ай бұрын

    How did you get equations for curves??

  • @alvarosanchez5090
    @alvarosanchez5090 Жыл бұрын

    thank you!!!!

  • @paritavaghani
    @paritavaghani Жыл бұрын

    I want to use this animation to find answer of my questions so how can find it

  • @user-ck6vc4bu4j
    @user-ck6vc4bu4j3 ай бұрын

    what is the interpretation if the outer integrals are also some functions of y

  • @tonystark6150
    @tonystark615013 сағат бұрын

    Thank you❤🌹🙏

  • @pasupuletimangapathi9680
    @pasupuletimangapathi96808 ай бұрын

    What will the g(x,y) do in the equation?

  • @prashantkumar8045
    @prashantkumar80453 ай бұрын

    Nice

  • @omerkarhan5625
    @omerkarhan56255 ай бұрын

    perfect

  • @geektoys370
    @geektoys3707 ай бұрын

    In the first example 1:30 what is perpendicular here? Isn’t it A(y)?

  • @geektoys370
    @geektoys3707 ай бұрын

    first, you say the variable is determined by the axis who is prependiculer to the slices, but in 2:57 you said "parallel" what changed? i didnt understannd the choice of variables

  • @vincentnguyen4204
    @vincentnguyen4204 Жыл бұрын

    This video is goated, why study at ut when a&m be actually teaching

  • @vincentnguyen4204

    @vincentnguyen4204

    Жыл бұрын

    I am going to drop out of UT today

  • @objectoriented3049

    @objectoriented3049

    5 ай бұрын

    ​@@vincentnguyen4204based

  • @koviddadhich991
    @koviddadhich9915 ай бұрын

    Hey can you make same for triple integrals and if possible other topics that require 3d animation. huge request

  • @niom9446
    @niom9446Ай бұрын

    what is g in the last one though

  • @TheGuruNetOn
    @TheGuruNetOn5 ай бұрын

    It's like a for-loop looping across a stack of slices.

  • @JeanDAVID
    @JeanDAVID Жыл бұрын

    Then what is g(x,y) knowing the bounds are the 2 functions ?

  • @itsflow3584

    @itsflow3584

    Жыл бұрын

    did you find out cos i got the same question

  • @JeanDAVID

    @JeanDAVID

    Жыл бұрын

    @@itsflow3584 usually g(x) is the difference of the 2 functions and the bounds are the x coordinates of the points where those functions cross !

  • @itsflow3584

    @itsflow3584

    Жыл бұрын

    @@JeanDAVID haha yep got that too chur

  • @user-mr5cm7yh6h
    @user-mr5cm7yh6h3 ай бұрын

    If anyone knows, how we can draw it or in which application we can draw it. Please share with me. All the best...

  • @engineers_hub
    @engineers_hub7 ай бұрын

    how to do these animations

  • @bhartigupta8894
    @bhartigupta88942 жыл бұрын

    Sir will you please make a video on the animation of this👉 double integral e^(x^2) dxdy in the region 0

  • @jordanthomas9508
    @jordanthomas95087 ай бұрын

    i love you

  • @quandarkumtanglehairs4743
    @quandarkumtanglehairs47439 күн бұрын

    nnnDope af my dude

  • @phee4174
    @phee4174 Жыл бұрын

    2:36 err this is pedantry on my part but there is a formula for the area under a parabola it's a|(r - v)^3|/6 where a is the coefficient of x^2 in the polynomial describing the parabola and r and v are the roots of the polynomial (assuming at least that you're looking for the area between the two parabola between it's two intersection points with the x-axis, if not the formula you get is much less nice), admittedly this formula is gotten from integrating the polynomial at it's 2 roots, but it's a still formula for the area that's much 'nicer' then an integral,

  • @mathyyys8467
    @mathyyys84675 ай бұрын

    i see it as a for i in range including a for j in range

  • @duckyoutube6318
    @duckyoutube631818 күн бұрын

    Oh i see. So the first thing we learn is a number line from 0 to 10. Then we learn decimal places in a new number line from 0 to 1 example: 0, 0.1, 0.2, 0.3,....1 Then we learn about negative numbers from -10 to +10 in a new number line. Then we stack 2 number lines so that we have an x line and a y line. Then we introduce imaginary numbers on the left side of the xy lines. Then we describe 2d shapes, objects, motion, ect. Then we take the derivative or the rate of change of a tangent point on the xy plane. Then we can take the area under the curve because we now know the rate of change and can now implement things like the power rule and the chain rule. Then we learn that you can use integrals, limits, and derivatives algebraicly, allowing use of ordinary differential equations. Then we make a new number line so we can describe 3 dimensional objects, and motion. And now we use partial derivatives to describe the rate of change in this 3d curve. We take the derivative of each dimention with respect to a single dimension. And now we use double integrals to describe the area under both curves and use the relationship they have with each other to describe volume. So all i need to do calc is to understand the axioms of algebra, systems of equations, and trig. Add in summation. That doesnt seem so hard. Calc is just new notation same logic as algebra mixed with new definitions and techniques of using both the left hand side and right hand side of graphs/equations.

  • @almanduku9043
    @almanduku9043 Жыл бұрын

    😮😮😮

  • @SamsungA04e-dp7kj
    @SamsungA04e-dp7kj16 күн бұрын

    0-0+0 : GPS Water Bambang Tri Hasta

  • @geektoys370
    @geektoys3707 ай бұрын

    Bro you say different times each minute wtf