Disc method around x-axis | Applications of definite integrals | AP Calculus AB | Khan Academy

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  • Опубликовано: 21 авг 2024
  • Finding the solid of revolution (constructed by revolving around the x-axis) using the disc method. Created by Sal Khan.
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Комментарии • 72

  • @khanacademy
    @khanacademy  11 лет назад +25

    We are contstructing a quarter at each x in our interval. The sum is the sum of all the "quarters" (each with depth dx).

    • @Ben.N
      @Ben.N 2 года назад +1

      nice

  • @junpark6892
    @junpark6892 8 лет назад +118

    >cramming for ap calc test tomorrow
    >1.5 speed
    here we go xD

  • @zemotika
    @zemotika Год назад +3

    I love how he teaches. Really wish more teachers and textbooks would be as effective as he is.

    • @elite573
      @elite573 9 месяцев назад

      I think it's just the different way he teaches. I bet if I had him as an instructor, I'd find someone who could explain some things better for me.

  • @kevjtnbtmglr
    @kevjtnbtmglr 10 лет назад +39

    What program is he using? Sal is a good drawer.

    • @suirahplanogemo3407
      @suirahplanogemo3407 5 лет назад +15

      I know I'm 5 years late, but whatever. He's using SmoothDraw

    • @1gryphus1
      @1gryphus1 4 года назад +13

      I thought he was a cabinet

  • @jasmineampofo1102
    @jasmineampofo1102 4 года назад +6

    Thank you so much Sal, the formula makes so much sense now.

  • @MrAlbashiri
    @MrAlbashiri 9 лет назад +13

    love you khan academy

  • @ylvaeriksson5761
    @ylvaeriksson5761 6 лет назад +4

    There isn´t any good explanations in Swedish when you study math. Good for me is someones like you. :)

  • @IAmTheGreatestThrill
    @IAmTheGreatestThrill 6 лет назад +18

    It looks like a Hershey's Kiss

  • @soulyest5167
    @soulyest5167 3 года назад +1

    You help so many people. From the bottom of my heart, Thank you!!!

  • @AD-wg8ik
    @AD-wg8ik 2 месяца назад

    A lot simpler than I expected

  • @zoechau8666
    @zoechau8666 11 лет назад +2

    This is new to me. I think it's amazing.

  • @metrix8155
    @metrix8155 Год назад +1

    I would not be able to pass my calculus classes if it wasn't for you, thank you so much.

  • @tomaskvapil
    @tomaskvapil 11 лет назад +2

    Thank you it is clear now..

  • @bettinatobias7040
    @bettinatobias7040 8 лет назад +4

    I understand what disks are now! 😄

  • @luvyjustinbeiber
    @luvyjustinbeiber 3 года назад +1

    You make everything so much easier to understand thank youu

  • @darth009976
    @darth009976 9 лет назад +3

    Thanks it helps a lot!

  • @mubashir_usman
    @mubashir_usman 6 лет назад +2

    thank you

  • @DaMan478
    @DaMan478 11 лет назад +1

    So much better than my teacher...Thanks.

  • @Engineering-To-Infinity
    @Engineering-To-Infinity Год назад

    I have been trying to understanding this for few days now, thank you very much mr Khan for making this crystal clear

  • @richphero106
    @richphero106 3 года назад +1

    Beautiful illustrations

  • @DoomKnight13
    @DoomKnight13 2 года назад +1

    thank you so much

  • @KINGMUFASA
    @KINGMUFASA 4 года назад +2

    Perfect explanation! Thank you so much!

  • @Ani-fq2je
    @Ani-fq2je Год назад

    Thank you khan academy you saved me and I PASSED CALCULUS TODAY!

  • @houdinilinguine1073
    @houdinilinguine1073 4 года назад +1

    Thank you for the great visualization

  • @EmmaRunningWeb
    @EmmaRunningWeb 11 лет назад +1

    Thanks!

  • @F3ver2Future
    @F3ver2Future 11 лет назад +2

    Very clear, thank you!

  • @nberz692
    @nberz692 4 года назад +1

    OMG. Thank you so much

  • @Sooooooooooorya
    @Sooooooooooorya 3 месяца назад

    "stretch our power of visualisation"

  • @roaahedaya1779
    @roaahedaya1779 7 лет назад +2

    amazingly amazing 😄😄

  • @kulvirjandir2454
    @kulvirjandir2454 10 лет назад +1

    Thanks so much! Finally understand this.

  • @happyfrezar2813
    @happyfrezar2813 4 месяца назад

    Thank u

  • @xyz2007123
    @xyz2007123 7 лет назад +1

    Great! job Sal and Khan Academy

  • @MateusOliveira-ho2wt
    @MateusOliveira-ho2wt 5 лет назад +1

    very good!

  • @zain4019
    @zain4019 7 лет назад +1

    Wow sals good at drawing

  • @jp5568
    @jp5568 7 лет назад +2

    lovely

  • @TheChris12590
    @TheChris12590 10 лет назад +8

    wizard hat

  • @troyfitz1638
    @troyfitz1638 2 года назад

    Sal still the goat 🐐 8 years later

  • @rileylarch5417
    @rileylarch5417 3 года назад +2

    me trying to cram for my last ever calc grade tomorrow. I barely have a C rn. :(

  • @eunuchcommunity
    @eunuchcommunity 7 лет назад +2

    "...it looks like a little bit of a kind of a weird hat." - S. Khan

  • @MohammedAhmed-dz2gg
    @MohammedAhmed-dz2gg 3 года назад

    Amazing

  • @kingshill96
    @kingshill96 11 лет назад

    please do a video on ricci flow. please :)

  • @tomaskvapil
    @tomaskvapil 11 лет назад +1

    It is not true coin right? because radius changes when you move on x axes ....?

  • @Alduric
    @Alduric 5 лет назад +2

    what if you have multiple y = functions

    • @shammu53
      @shammu53 5 лет назад

      Phil V that's the washer method

  • @terrynoah10
    @terrynoah10 3 года назад

    How would you do this if the region crossed over the axis of rotation?

  • @MasalaMan
    @MasalaMan 7 лет назад

    when you got to the standard derivative stuff, I was like...what kind of witchery is this ?!?
    Something i definitely need to look up

  • @nurulnajwabintihassanuddin5722
    @nurulnajwabintihassanuddin5722 3 года назад

    Now I know why the name of the method is disk

  • @justinrose5700
    @justinrose5700 11 лет назад +1

    wait, I thought dx doesnt represent delta x?

  • @claudia-mr3tc
    @claudia-mr3tc 9 лет назад +1

    Man this stuff is easy

  • @zbzb-ic1sr
    @zbzb-ic1sr 7 лет назад

    I was just wondering why these new videos are not in a playlist :/
    I'm using software to download the videos in one go, it'd be more comfortable if they were placed in a playlist

  • @PunkHippie1971
    @PunkHippie1971 6 лет назад

    I must be clear. It is a wizard's hat. Not just any wizard's hat but Gandalf the Grey's hat.

  • @merdanchee
    @merdanchee 7 лет назад

    why r=x^2 ??

    • @merdanchee
      @merdanchee 7 лет назад +3

      oh okay okay, understood, f(x)=x^2 thats why,

  • @martinronquillo7638
    @martinronquillo7638 4 года назад

    literally the same prob Im doing lmao ftw

  • @justinrose5700
    @justinrose5700 11 лет назад +1

    wait, I thought dx doesnt represent delta x?