Triple Integrals - Calculus 3

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  • Опубликовано: 25 авг 2024
  • This Calculus 3 video tutorial explains how to evaluate triple integrals using simple integration techniques.
    Lines & Planes - Intersection: • How To Find The Point ...
    Angle Between Two Planes:
    • How To Find The Angle ...
    Distance Between Point and Plane:
    • How To Find The Distan...
    Chain Rule - Partial Derivatives:
    • Chain Rule With Partia...
    Implicit Partial Differentiation:
    • Implicit Differentiati...
    ________________________________
    Directional Derivatives:
    • How To Find The Direct...
    Limits of Multivariable Functions:
    • Limits of Multivariabl...
    Double Integrals:
    • Double Integrals
    Local Extrema & Critical Points:
    • Local Extrema, Critica...
    Absolute Extrema - Max & Min:
    • Absolute Maximum and M...
    ________________________________
    Lagrange Multipliers:
    • Lagrange Multipliers
    Triple Integrals:
    • Triple Integrals - Cal...
    2nd Order - Differential Equations:
    • Second Order Linear Di...
    Undetermined Coefficients:
    • Method of Undetermined...
    Variation of Parameters:
    • Variation of Parameter...
    ________________________________
    Final Exams and Video Playlists:
    www.video-tuto...
    Full-Length Videos and Worksheets:
    / collections

Комментарии • 177

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  7 месяцев назад +3

    Final Exams and Video Playlists: www.video-tutor.net/

  • @syadeon
    @syadeon 2 года назад +185

    Can you do a video on triple integrals in spherical and cylindrical coordinates?

    • @georgesadler7830
      @georgesadler7830 9 месяцев назад +1

      Please check out the playlist by Houston Math Prep, Professor Leonard and Professor V.

  • @emilie6466
    @emilie6466 4 года назад +335

    The content of this channel is so random yet so informative...

    • @mujtabahussain7015
      @mujtabahussain7015 2 года назад +53

      i have been using this channel for 2 years and yet to watch any video related to chemistry at all....

    • @Jules-69lol
      @Jules-69lol 2 года назад +12

      @@mujtabahussain7015 tf are you talking about it's literally full of chemistry lessons

    • @mujtabahussain7015
      @mujtabahussain7015 2 года назад +48

      @@Jules-69lol i meant 'i never used it for chemistry lessons', i was trying to imply that even if the channel name is related to chemistry, but still has lessons related to other subjects as well and i used it for other subjects rather than chemistry itself.

    • @XXREAPERSXX1
      @XXREAPERSXX1 2 года назад +24

      It’s not random at all lol

    • @TrinidaddyGdom
      @TrinidaddyGdom 2 года назад +3

      You need all of this math for chemistry tf r u talking about?

  • @kifter4254
    @kifter4254 4 года назад +45

    Please never stop uploading

  • @siyakubongafortune5470
    @siyakubongafortune5470 2 года назад +13

    Please keep on saving our lives, you are one of the most important people in my life even though I don't know who you are.

  • @toitozky155
    @toitozky155 2 месяца назад +3

    using this channel for nearly a decade, everything can be found here.

  • @georgesadler7830
    @georgesadler7830 Год назад +17

    Professor Organic Chemistry Tutor, thank you for a great video/lecture on Triple Integrals in Calculus Three/Multivariable Calculus. This is the simple side of Triple Integrals, on the other hand, Triple Integrals are difficult when students have to set them up and put the limits of integration on them and then perform the integration. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.

    • @aaravdave1109
      @aaravdave1109 Год назад +1

      I always had a question how do you figure out the function of the the shape

  • @rami8896
    @rami8896 4 года назад +10

    I have a quiz on it in a few days. I truly have been blessed by the math god.

  • @calebereid
    @calebereid 4 года назад +9

    Learning some in the summer, so I am ready in the fall.

    • @ismaeltapia7238
      @ismaeltapia7238 4 года назад +1

      caleb reid same bro keep grinding!!!!!!!

    • @alans8771
      @alans8771 3 года назад

      absolute beast did you pass it?

  • @guila3993
    @guila3993 3 года назад +16

    I’m in pre calc and I’m glad videos like this exist to help for this lol

    • @hannahakimi1377
      @hannahakimi1377 3 года назад +19

      you learn this in precalc?? I'm learning this right now in calc 3

    • @alans8771
      @alans8771 3 года назад +13

      @@hannahakimi1377 I think he meant hes glad there's examples online for the time he gets to calc3, because precal is so far from it lol

    • @AaRaV.Om_AgRaWaL_2
      @AaRaV.Om_AgRaWaL_2 Год назад

      @@hannahakimi1377 I'm still in Algebra 1 and still learning this 🤓

  • @ianlee863
    @ianlee863 4 года назад +5

    Cool. Another RUclipsr didn't put any function in to integrate and just said to use "1", which really confused me because it didn't take the function into account. This video explains it while considering the function which is great.

  • @AmusementLabs
    @AmusementLabs 4 года назад +19

    Again, I had a test on this YESTERDAY. Why today this is up?! 😭

    • @9IPbINCB3T
      @9IPbINCB3T 4 года назад

      what grade are you in?

    • @RiHezBestSmiteMontages
      @RiHezBestSmiteMontages 4 года назад

      I had one 4 days ago and literally searched "triple integrals chem" hoping one would pop up from this guy

    • @9IPbINCB3T
      @9IPbINCB3T 4 года назад

      @@RiHezBestSmiteMontages what grade are you in?

    • @AmusementLabs
      @AmusementLabs 4 года назад

      @@RiHezBestSmiteMontages ikr, he's the only that makes it not feel like a chore.

    • @RiHezBestSmiteMontages
      @RiHezBestSmiteMontages 4 года назад

      @@9IPbINCB3T 3rd year of college

  • @reemashukla2110
    @reemashukla2110 3 года назад +4

    love and support from India, very well explained!!

  • @graceadlinn
    @graceadlinn Год назад +2

    This helped me alot in mathematical methods for electrodynamics

  • @dudeisawesome7202
    @dudeisawesome7202 4 года назад +4

    Dude.... thanks a lot, I have test on this next thursday!!! I also saw you uploaded local extrema video as well, I wish that was uploaded before haha, but thanks for what you do for us!

  • @uladzimirc5672
    @uladzimirc5672 Год назад +2

    Explained well and very common sensual!!!
    Thank you!

  • @davidloomis6668
    @davidloomis6668 4 года назад +50

    first time i saw a triple integral i was really scared

    • @9IPbINCB3T
      @9IPbINCB3T 4 года назад

      what grade are you in?

    • @davidloomis6668
      @davidloomis6668 4 года назад +2

      Данил Фомин senior in high school

    • @bombasticbrian.
      @bombasticbrian. 4 года назад

      If you’re good with integration techniques then you have nothing to worry about

    • @Mohann-
      @Mohann- 4 года назад

      @@davidloomis6668 what class uses this?

    • @davidloomis6668
      @davidloomis6668 4 года назад +3

      Mohann Scarlett calc 3

  • @whoaitsdakenster
    @whoaitsdakenster 4 года назад +5

    Thanks for your work man! Helps so much!!!

  • @willthomas7950
    @willthomas7950 Год назад +1

    " Some people like to be outside all the time so when you show up you could just show up. "

  • @DominatorPlayer
    @DominatorPlayer 2 года назад +2

    The is so helpful compared to my actual calc 3 class.

  • @md_nawshin_zaman
    @md_nawshin_zaman 10 месяцев назад

    My 70% tension is disappeared when I saw, you have a video on my topic. ❤

  • @onlynoone6512
    @onlynoone6512 3 года назад +1

    4:36 it's cool I did dx,dy,dz and get the same answer thankyou

  • @UzumakiUchia-dd2eg
    @UzumakiUchia-dd2eg 4 месяца назад

    Me learning this 4 hrs before my exam, thanksss💯

  • @taladiv3415
    @taladiv3415 4 года назад +2

    You're like a calculus life-guard!

  • @ahmedhusham7728
    @ahmedhusham7728 4 года назад +2

    Thanks for this useful tutorial

  • @WaBxKDUB
    @WaBxKDUB Месяц назад

    I think there may be a slight mistake on the last substitution of dx. I believe it should be 2/15 [(3)^5-(0)^5] which gives 81, since you substitute in for X. The integration is all correct however

  • @michalina1590
    @michalina1590 Год назад

    most interesting topic i've ever watched.

  • @adveshdarvekar7733
    @adveshdarvekar7733 Год назад

    this is like the basics for more advanced questions.

  • @user-sg6ft6bf9w
    @user-sg6ft6bf9w Год назад +3

    Hello, sir,,will you please make a tutorial on CHANGE OF VARIABLES IN MULTIPLE INTEGRALS; JACOBIANS,,,,please , please , it'll be really helpful..🥺🙏🙏🙏

  • @barsharanimandal1416
    @barsharanimandal1416 2 года назад +1

    Very very thank you sir 🙏🙏

  • @shukkkursabzaliev1730
    @shukkkursabzaliev1730 4 года назад

    Impossible to imagine what would have happened to me, if you did not do these videos

  • @muhdumair4294
    @muhdumair4294 3 года назад +2

    never thought ive reached 3rd level of calculus

  • @syropalia
    @syropalia 2 года назад

    using this to help me understand volume via integration, thank you!

  • @christopherlazo8485
    @christopherlazo8485 4 года назад +1

    I have test next week thanks for this❤️❤️❤️

  • @mairajmughalacademy8464
    @mairajmughalacademy8464 4 года назад +1

    Nice Lecture 👍

  • @ReidCipriani
    @ReidCipriani 11 месяцев назад

    You're a life saver

  • @Crypto_info-s5b
    @Crypto_info-s5b 3 месяца назад

    Best Chanel ever

  • @willthomas7950
    @willthomas7950 Год назад

    The calculus of who's bird?
    - The bird has to be available to buy.

  • @hell_ul
    @hell_ul 9 месяцев назад

    thank you 🫡

  • @user-zl2ml2ow6b
    @user-zl2ml2ow6b 7 месяцев назад

    Best Tuter

  • @ericajanecapoquian6071
    @ericajanecapoquian6071 4 года назад +1

    Tomorrow i hav a long quiz i got panic nah, thankyou

  • @9IPbINCB3T
    @9IPbINCB3T 4 года назад +4

    since soon you are teaching us triple integrals, why don't you explain field theory? this theme is really hard to understand for students

  • @RayWalker-pythonic
    @RayWalker-pythonic 4 года назад +1

    Great video. I can't hope but notice a slight accent with "-ing" pronunciations, and was curious from what region? Again, outstanding explanation.

  • @ralphnassar3286
    @ralphnassar3286 Год назад

    Woah this is so interesting thanks so much!

  • @ewohkelly7800
    @ewohkelly7800 Год назад

    This video really helped alot 😎😎 thanks man

  • @hannahakimi1377
    @hannahakimi1377 3 года назад

    this helps SO much thank you

  • @oruruinnocent8836
    @oruruinnocent8836 2 года назад

    it was nice watch the information in the video✍✍🙏🙏👊👊

  • @saiamitchaddha5525
    @saiamitchaddha5525 3 года назад +2

    God Is Great, May God Bless you all and your families

  • @ansh6848
    @ansh6848 5 месяцев назад

    is there any specific reason for taking 'y' function outside then 'x' and then 'z' ?

  • @crismal6477
    @crismal6477 4 года назад +3

    This was so informative, thanks I know how to do integrals now

  • @highviewbarbell
    @highviewbarbell Год назад

    im just in college algebra now, but I'm going to have to go even past calculus 3 in the future. I've always been terrified of it and haven't ever even looked into what some problems look like. I gotta say, I've watched a bunch of your videos, and it doesn't look that bad. A ton of algebraic steps that could go wrong, but I find it all quite beautiful actually, I'm just excited for it now, not afraid.

  • @DzmenReacts
    @DzmenReacts 4 года назад +1

    Hi sir what about double integral please put it on your channel 😍😊

  • @sk99gaming99
    @sk99gaming99 Год назад +1

    shouldnt the answer be 20/3?

  • @setsmith4486
    @setsmith4486 4 года назад

    having a test on monday and im not worried/scared anymore

  • @aladuraagboola4599
    @aladuraagboola4599 2 года назад

    Thank you 🥺🤲🙏🏼

  • @idek_man
    @idek_man 2 года назад +1

    could someone explain why he swapped the order around for the first example? thank you!

    • @stopthecap4317
      @stopthecap4317 2 года назад +3

      I guess to show the order doesn't matter. You can do which ever variables you want first, as they will all give you the same result.

  • @willthomas7950
    @willthomas7950 Год назад

    You almost got your neck bit half off little man.
    - Crab Legs

  • @nawafalshuraya4833
    @nawafalshuraya4833 2 года назад

    if I pass calculus this semester im buying ur hoodie

  • @swadeshpatsariyamediaprabh9938
    @swadeshpatsariyamediaprabh9938 2 года назад

    Good video

  • @willthomas7950
    @willthomas7950 Год назад

    Yes opposites don't always attract but in this life time they do.

  • @AnjaliDuttaRoyBEC
    @AnjaliDuttaRoyBEC 3 года назад

    Thank u sir

  • @Eric-mv7sz
    @Eric-mv7sz 3 года назад

    May God bless you

  • @englishlife5838
    @englishlife5838 2 года назад

    this is so easy

  • @lyfissad4803
    @lyfissad4803 4 года назад +3

    QUESTION!
    how do you choose what variable to integrate first?

    • @calebereid
      @calebereid 4 года назад

      It is based on what ever variable you put in the internal first which is based off of choice. Hope this helps lol

  • @willthomas7950
    @willthomas7950 Год назад

    You only have 1 head.. .
    - You have to gain more electricity before moving on. 64+7+6

    • @willthomas7950
      @willthomas7950 Год назад

      I'm telling you this world information is secret and old " step 5 was done half a day ago. " 13+16

  • @davidbragg7153
    @davidbragg7153 2 месяца назад

    if triple integrals are from Calc 3, then when did we do these in what was labelled Calc 1 at Virginia Tech? The whole god damn year was called calc 1, 5 days a week, 1 hour a day for both semesters.

  • @dalibormaksimovic6399
    @dalibormaksimovic6399 2 года назад +1

    Hi. I am interested in how one can determine boundaries of integration when there is no a explicit function for z in terms of y, or y in terms of x. For instance, calculate the volume of body bounded by following surfaces: x^2+y^2 = cz, x^4+y^4=a^2(x^2+y^2) and z=0.

    • @luvjiro7443
      @luvjiro7443 Год назад +1

      you simply integrate dzdydx, and determining the boundaries can be done, by first taking the function as z from 0 to (x^2 +y^2)/c then taking the function of y by solving the second equation the answer will be y = x +a and y = x and x will go from 0 to a..... you just have to represent the functions in terms of z y x.

  • @Xx-yg8ke
    @Xx-yg8ke 2 года назад

    What will happen if we continue for r fourth integral

  • @izezzyrodriguez1727
    @izezzyrodriguez1727 4 года назад +1

    Ur super smart

  • @tangobravo5752
    @tangobravo5752 Год назад

    Why the y integral first?

  • @Kwekukhallex96
    @Kwekukhallex96 Год назад

    Pleaaaaaase can I get a video of change of limit under double integral I’m writing exams in a week

  • @willthomas7950
    @willthomas7950 Год назад

    You got bank rolls already for being an engineer.
    (-9-6)

  • @OneCrustyPiglet
    @OneCrustyPiglet 4 года назад

    Spherical Coordinates video?

  • @javanzigah2843
    @javanzigah2843 Год назад

    He said u could have changed em from -2 to 2 but I had a different answer

  • @elnurmehdiyev4530
    @elnurmehdiyev4530 2 года назад

    But how to identify the order of integration?

  • @willthomas7950
    @willthomas7950 Год назад

    What kind of engineer are you?
    - chemical, civil, electrical or industrial?

  • @thyliaesbrickeny6905
    @thyliaesbrickeny6905 4 года назад

    coefficent Q=-3.

  • @animeasia12
    @animeasia12 Год назад

    can somebody explain why was y cube replaced by x. what do u mean by " instead of y3 lets write x3. yyyy? need helpppppppppp im stuck with thattt

    • @o0QuAdSh0t0o
      @o0QuAdSh0t0o Год назад

      When a or b is equal to a variable that is the rule. The act of replacing function variable with the bounds variable eliminates the need to integrate with respect to set variable

  • @damienwayne3755
    @damienwayne3755 4 года назад

    FINALLY!

  • @willthomas7950
    @willthomas7950 Год назад

    For the medicine team
    (43+9-64)

  • @willthomas7950
    @willthomas7950 Год назад

    They can, they will, they did
    #Bitter

  • @zacharykolaites8761
    @zacharykolaites8761 3 года назад +2

    Petition to remove calculus from the earth, shits so complicated and unnecessary

  • @willthomas7950
    @willthomas7950 Год назад

    * Sirens and bad parking
    There is no secret to why you have misbehavior in schools. Quote unquote are we going to make it?

  • @willthomas7950
    @willthomas7950 Год назад

    I'm a King time for you to stop cheating just like that. Got the game backwards holmes.
    12+6, 4+5, 9+2, square root 81, and 5(3a-4b-7c+3d+5e+2f-3g)/25

  • @davidbikumbi5981
    @davidbikumbi5981 Год назад

    God bless

  • @willthomas7950
    @willthomas7950 Год назад

    Females can be super heroes around the house and at work you don't always have to be Rogue.

  • @willthomas7950
    @willthomas7950 Год назад

    They not looking for me..
    - Why the hell not?
    Underdevelopment must be handled carefully can you dig it?

  • @Sultan-le8so
    @Sultan-le8so 4 года назад

    Firs one I think it is wrong, the answer I got is 20/9

  • @willthomas7950
    @willthomas7950 Год назад

    Dense-A-Burger for work which is fine.

    • @willthomas7950
      @willthomas7950 Год назад

      2 engine lights and a court case later
      (a-b+c)/(a+b-c)

    • @willthomas7950
      @willthomas7950 Год назад

      Get you a new pad then .
      45+55

  • @vaderanomaly1573
    @vaderanomaly1573 3 года назад

    Really wish you had calc 3 videos, but you dont have many, i guess calc 3 ia super long and takes a whule to do a problem. Cuz this doesnt really help with setting up rectangular, polar, or spherical.

  • @anneflor3428
    @anneflor3428 Год назад

    you're the bestttttttt mwaaa

  • @user-oj3he2yg5u
    @user-oj3he2yg5u 6 месяцев назад

    💙

  • @willthomas7950
    @willthomas7950 Год назад

    It's engine time.
    It's 86+151-45 time.

    • @willthomas7950
      @willthomas7950 Год назад

      Location engineering is really real, take Texas and New York state for an example.

    • @willthomas7950
      @willthomas7950 Год назад

      Another example would be...
      - Would be what?
      peekaboopeekaboopeekaboopeekaboo

  • @yahyaishaq5526
    @yahyaishaq5526 4 года назад +2

    First one

  • @sanjubreezy
    @sanjubreezy Год назад

    operation OKOA SEMESTER
    😂😂

  • @willthomas7950
    @willthomas7950 Год назад

    Your not supposed to ask an engineer what they eat, they are the engineers of the past 50.

  • @willthomas7950
    @willthomas7950 Год назад

    Get a nice smooth pen and go in.. 6+8.

  • @willthomas7950
    @willthomas7950 Год назад

    Farmers Bonus:
    -9-9+21

  • @willthomas7950
    @willthomas7950 Год назад

    " But you will be a calculator until the coast is clear. "

  • @aldrinhidalgo2045
    @aldrinhidalgo2045 4 года назад

    please explain how [ 3^2 -(-2)^2 ] = 9 - 4 ? negative negative equals possitive so I think [ 9 + 4 ]

    • @adrienjoshua6710
      @adrienjoshua6710 4 года назад +2

      -2 squared is positive 4 and then subtract it to 9 so (9-4)

    • @ashleycarmean9252
      @ashleycarmean9252 4 года назад

      What's a negative multiplied by a negative?

    • @diabolik5362
      @diabolik5362 4 года назад

      @@ashleycarmean9252 positive