Shell Method - Volume of Revolution

Поділитися
Вставка
  • Опубліковано 23 гру 2024

КОМЕНТАРІ • 217

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  3 роки тому +35

    Applications of Integration - Free Formula Sheet: bit.ly/3ZdKSnK
    Direct Link to The Full Video: bit.ly/3zqHsOZ
    Full 54 Minute Video on Patreon: www.patreon.com/MathScienceTutor
    Calculus 1 Final Exam Review: ua-cam.com/video/WmBzmHru78w/v-deo.html

  • @phantomwarden8145
    @phantomwarden8145 Рік тому +195

    I am a chemistry major and have been watching your videos for 2 years. You’ve helped me so much that I believe I have spent more time watching you than in the classroom lol. Thank you for this

    • @codymorgan8812
      @codymorgan8812 Рік тому +2

      How do you enjoy chemistry? I am currently a space science major and considering either a double major for mathematics, chemistry, or biology.
      I love math but I am also interested in other physical sciences.

    • @mapi100
      @mapi100 Рік тому +3

      @@codymorgan8812 Im double majoring in pure mathematics and physics. Regarding mathematics, you can choose between applied math and pure math. Pure math is a bit more different than applied math, but it is really awesome (at least for me). I encourage you to take an advanced class of whatever major you're interested in (if you can), in order to see which area you enjoy most. Also seeing the roadmaps for each major is helpful

    • @peelysl
      @peelysl Рік тому

      The stuff he covers only cover the really basics of chemistry though

    • @forthehomies7043
      @forthehomies7043 9 місяців тому

      of all the sciences chemistry was my least favorite, and because of that it was one of the hardest. one thing that really helped me to enjoy chemistry over time was applying it to anatomy, and how different medicines and treatments and chemicals set off chain reactions in the human body. just helped me to appreciate chemistry a bit more@@codymorgan8812

  • @aardvarkansas7500
    @aardvarkansas7500 7 місяців тому +13

    You're a lifesaver, thank you for all these amazing videos!!!

  • @AnthonySalierno
    @AnthonySalierno 2 роки тому +38

    When I pass Calc 2 it'll be because of you!

  • @easonxiao6169
    @easonxiao6169 4 роки тому +435

    Somehow this guy knew my Calc final was coming up

    • @micahgodsey455
      @micahgodsey455 3 роки тому +5

      Your finals are in the beginning of the semester?

    • @easonxiao6169
      @easonxiao6169 3 роки тому +10

      @@micahgodsey455 My school had the finals after winter break so yeah

    • @zzzluvsk
      @zzzluvsk 7 місяців тому

      @@easonxiao6169 That sounds horrible

    • @LeagueJeffreyG
      @LeagueJeffreyG 4 місяці тому

      @@micahgodsey455 these things are learned in different intervals, the volume of Revolution is normally chapter 6 but is sometimes introduced sooner

  • @godfraydionzon9539
    @godfraydionzon9539 3 роки тому +173

    Sir I'm really thankful to you. I have been struggling lately on these application of integral but ur videos really do help. My teacher is great but sometimes I can't just understand what she's trying to explain that's why I always run to your channel. Thank you Sir, I appreciate what u're doing.

  • @lyndseystrait1513
    @lyndseystrait1513 10 місяців тому +17

    2:21 Shell method formula for when y-axis is axis of rotation (1st part when only 1 line vs 2nd part when 2 lines) and 4:26 Shell method formula for when x-axis is axis of rotation (1st part when only 1 line vs 2nd part when 2 lines). Fantastic examples and video!

  • @bananapudding4854
    @bananapudding4854 3 роки тому +87

    I'm going to buy your mug just to support you, you are literally my math savior, how are you so good at explaining things. It's like magic.

    • @marq6325
      @marq6325 3 роки тому

      Not really, you should go to eddie woo’s channel for real magic

    • @yugadeepk5297
      @yugadeepk5297 3 роки тому +19

      @@marq6325 subjective!

  • @kaushikkalesh1678
    @kaushikkalesh1678 4 роки тому +631

    Fun Fact - His most popular (most-viewed) video is not even about organic chemistry, it's about math lol

  • @epictrooper2568
    @epictrooper2568 3 роки тому +111

    Wow this was uploaded right when I started volume revolution perfect timing.

  • @georgesadler7830
    @georgesadler7830 3 роки тому +41

    Professor Organic Chemistry Tutor, thank you for an awesome video/ lecture on the Shell Method in Calculus Two. The Shell Method is fairly simple to follow and understand from start to finish. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.

  • @kara4773
    @kara4773 4 роки тому +318

    Calc Class: ok we are on the topic of the shell method
    The Organic Chemistry Tutor: makes this video
    The stars: have aligned

    • @corbynkutak2898
      @corbynkutak2898 3 роки тому +1

      Literally same wtf

    • @epod3422
      @epod3422 3 роки тому +3

      Calc 2 is usually taught this time of year. He is simply making the video in a time where it will get the most views and bring in the move $$$.

    • @DennisBolanos
      @DennisBolanos 3 роки тому +2

      You: are cute

    • @LumbuAiyah
      @LumbuAiyah 3 місяці тому

      Yes Need information about shell method

  • @rulinsky
    @rulinsky 3 роки тому +10

    I love your videos!! I’m a Mathematics teacher in Spanish, but now thanks to you, I know how to teach Math in English. Thanks 🎊🎉🎵❤️

  • @TheJollyRhino
    @TheJollyRhino 10 місяців тому +2

    Thank you Thank you Thank you. I kept boggling my head trying to understand why my rotations weren't coming out right. No one ever said discretely that rotations about y HAVE to be in terms of x, and vice versa for rotations about x. So so helpful

  • @user-hdhdhhdhdhsnjdjdjdioowj
    @user-hdhdhhdhdhsnjdjdjdioowj 2 роки тому +15

    If i could give you a million dollars I would, you are honestly the best at explaining such complicated topics.

  • @utilizator1701
    @utilizator1701 4 роки тому +25

    I have never been wondering how to find the volume when rotating around y axis. I am happy that I have learned a method to do this.

  • @maryangier2773
    @maryangier2773 Рік тому +11

    at 4:25, shouldn't the bottom problem have f(y) and g(y) as the two functions rather than f(x) and g(x)? Were using the shell method and revolving around the x-axis- therefore, we need to integrate with respect to y... right?

  • @victorfernandez4082
    @victorfernandez4082 Рік тому +13

    this guy is literally carrying me through my engineering degree

  • @bread1542
    @bread1542 2 роки тому +5

    This dude has been saving my grades for 3 years

  • @bigt9203
    @bigt9203 Рік тому +6

    My man just helped me pass university

  • @aragornxyz8004
    @aragornxyz8004 3 роки тому +69

    it is sad to see cut version here and now the original full upload being patreon exclusive video. (not only this video, many others) :c 10 dollar is bit too much for me (local economy). But still i am pretty much thankful for the videos, for your big effort to teach us, even if they are "necessary" part only :D

  • @abrahamortiz2074
    @abrahamortiz2074 8 місяців тому

    whenever i have trouble, you always seem to know how to explain it well. thank you organic chem tutor

  • @fardous33
    @fardous33 19 днів тому

    Thanks!

  • @celineguler
    @celineguler 2 роки тому +4

    at 3:40 radius and height should be in terms of x you say but it's R(y)*h(y)dy

  • @seer873
    @seer873 Рік тому +1

    I would marry this man- the way he’s saved my life so many times 😭😭😭

  • @michaelli6934
    @michaelli6934 3 роки тому +3

    you give me hope to keep going... much love, thank you!

  • @johnsymeonidis1313
    @johnsymeonidis1313 Рік тому

    This guy is better at explaining Calculus than some of my university professors, absolute goat

  • @cruzsanchez5942
    @cruzsanchez5942 10 місяців тому

    Your videos are the best things ever I swear!!!!!

  • @carlosgarcia-q8l
    @carlosgarcia-q8l 7 місяців тому +1

    first 2 minutes in and you already took my professors job.

  • @mel-if4fv
    @mel-if4fv Рік тому +3

    could you explain why the r=x, instead of r=4-x in the first problem?

  • @isoid
    @isoid 4 роки тому +8

    This guys upload quota is insane

  • @francisg.3797
    @francisg.3797 Рік тому +1

    This man is going to get me through college

  • @SokumenTop
    @SokumenTop 3 роки тому +5

    This guy singlehandedly gets me through college

  • @tejansallu2287
    @tejansallu2287 4 роки тому +3

    14:00 you always come when I need you the most

  • @quonkylops
    @quonkylops Місяць тому

    you dont know how much you mean to me organic chemistry tutor i owe you my life my soul my first child everything 😭😭i might even pass my midterm

  • @ineedasubmissiveboyfriend9236
    @ineedasubmissiveboyfriend9236 4 роки тому +5

    Are we just gonna ignore the fact that this guy almost knows how to solve all of the problems in math-

    • @bonk2987
      @bonk2987 4 роки тому +2

      Every math teacher know all though lol

  • @Attalla-t9b
    @Attalla-t9b 7 місяців тому

    You explained it very well!

  • @Life-zm6iz
    @Life-zm6iz 2 роки тому +2

    4:00 I do not think f(x) and g(x) can be functions of x. It seems to me that they both fail the vertical line test.

  • @nadineelzeidy9242
    @nadineelzeidy9242 4 роки тому +2

    UR BACK I LOVE U THANK U PLS DO MORE SAT PREP THANKS HAVE A GOOD DAY

  • @Clemfandang0
    @Clemfandang0 6 місяців тому

    Thank you, this really helped me.

  • @noornayel3394
    @noornayel3394 2 роки тому

    3:06 if I'm tryna find the volume of a cup which do I use rotation on the x axis or the y axis

  • @djcantskate3883
    @djcantskate3883 2 роки тому +2

    Is the radius for these problems always x

  • @GooseCrack
    @GooseCrack 3 роки тому

    cant believe it was this easy. absolutely aced a quiz right after watching this thank you man

  • @theyammi437
    @theyammi437 3 роки тому +3

    Thank you so much, you have saved me from the wrath of my Calculus II class!

  • @plasma8321
    @plasma8321 3 роки тому +5

    yeah i like how all the nessesary complicated stuff is behind a paywall

  • @pentagonperry
    @pentagonperry 3 роки тому +1

    wouldn't x*x^3 be concave up on 0

  • @masonp5
    @masonp5 3 роки тому +1

    I hope college board blesses up with a question about this, that would be pretty epic

  • @mrmansir3734
    @mrmansir3734 2 роки тому +1

    at 3:32, why are the bounds c to d instead of a to b?

  • @meeee3838
    @meeee3838 3 роки тому

    At 4:26, why didnt you write h(y)= f(y) -- g(y) ??

  • @realrishiiscoolgaming9548
    @realrishiiscoolgaming9548 4 роки тому +8

    can u do a live stream and live doughts let that new voting thing on youtube decide what topic? (no pressure)like for a live stream

  • @pranjalchand6792
    @pranjalchand6792 8 місяців тому

    Thanks it helped me a lot

  • @jeremie2599
    @jeremie2599 4 роки тому

    You are the great man in the world

  • @Duaaaa786
    @Duaaaa786 3 роки тому +3

    i really appreciate your videos. Keep it up!

  • @khalidalq3334
    @khalidalq3334 2 роки тому

    you make it look very easy compared to my prof, goat!

  • @mrmansir3734
    @mrmansir3734 2 роки тому +3

    at 2:28 it was mentioned a and b are representing x values, but at 6:21, the bounds are labelled as a and b, but the bounds include 1 y value, and 1 x value, so shouldn't the bounds be d and c for the example at 6:21?

  • @embin_2129
    @embin_2129 Рік тому

    Explain to me why we have used 2pi and not just pi like in disk method

  • @bieelzzin
    @bieelzzin 2 роки тому

    Helped me a lot, ty

  • @3lackman761
    @3lackman761 5 місяців тому

    If you use disk method will it give the same answer

  • @tumelomokgojane5648
    @tumelomokgojane5648 Рік тому +1

    How do i know whether to use shell method or disk washer 😢😢

  • @somebodyoncetoldme8636
    @somebodyoncetoldme8636 Рік тому

    i wish there was more practice but i think i get it enough

  • @capnslapn9153
    @capnslapn9153 17 днів тому

    "are you struggling in calculus?" No. im watchin The and i mean THE organic chemistry tutor

  • @titicaca315
    @titicaca315 2 роки тому

    I thank you so much for breaking this down this one made me want to bash my head in

  • @ziaudzoheb1860
    @ziaudzoheb1860 2 роки тому

    how do you solve when you rotate the region bounded about some value of y or x axis .....eg ,and rotated about the line x=4, then how do you find the radius ?

  • @yohannamachado8505
    @yohannamachado8505 9 місяців тому

    wait im confused are we finding the area of the rectangle or the region without the rectangle???

  • @noone-xs8om
    @noone-xs8om 2 роки тому

    Where do people like you even come from? Excellent video.

  • @nqubekogcwensa2840
    @nqubekogcwensa2840 3 роки тому

    where does one find you to thank you in person?

  • @matthewlee3520
    @matthewlee3520 3 роки тому +1

    Thank you so much for this. I really needed this today.

  • @hassanfarraj6
    @hassanfarraj6 Рік тому +1

    So the radius is always=x ?

  • @mondainist
    @mondainist 4 роки тому +4

    I never understood this section during my calc 2 class last semester, thank god most of it wasn't on my final. Btw, will you be uploading calc 3 content?

    • @utilizator1701
      @utilizator1701 4 роки тому

      It would be an interesting topic to cover, especially on Laplace transform and Z transform.

    • @Cipher6i8
      @Cipher6i8 4 роки тому +2

      I think he's uploaded some Calc 3 content in the past.

    • @mondainist
      @mondainist 4 роки тому

      @@Cipher6i8 Thanks for letting me know! I'll try to find some as a review before the semester starts.

  • @Josue-Arreaga
    @Josue-Arreaga 3 роки тому +3

    Bro, what happened to the old videos the ones that were 45 min and 2 hours long? Every time I wanted to make sure I was on point I used to look at them, stop the video, set up the integral (look at yours) and then go on to the next. Please bring them back.

    • @oluwaseyiikujuni9382
      @oluwaseyiikujuni9382 2 роки тому

      He still makes those but they're now on Patreon. I wish I could get the full video but I can't really afford Patreon.

  • @MazdaFantasma
    @MazdaFantasma 6 місяців тому +4

    guys we are getting something from here it not fair not to like this

  • @gur0004
    @gur0004 3 роки тому +1

    at 3:40 you said when rotating about the x-axis, the radius and height have to be in terms of x but then you expressed them in terms of Y! Confused asf.

    • @suhailraja7797
      @suhailraja7797 Рік тому

      I know you're probably done with this class 😂 but he said if it's the x axis it must be in terms of y you just misheard him

  • @YourWrongImRight933
    @YourWrongImRight933 2 місяці тому

    Where is the 2 coming from at the end? the random two?

  • @philomatta2620
    @philomatta2620 2 роки тому

    thank you for the great video and effort ❤

  • @In_himystyle
    @In_himystyle 3 роки тому

    Awsm explanation .. I have a problem in solving height in two figures. But now it's clear❤️❤️❤️

  • @Nelsonhu-q5l
    @Nelsonhu-q5l 7 місяців тому +3

    watching this the night before the calc bc exam am i cooked?

  • @logical1037
    @logical1037 3 роки тому

    Thanks for everything

  • @timzelikovsky490
    @timzelikovsky490 3 роки тому

    Does the shell method always have 2pi before the integral, compared to the disk/washer's method of only being 1pi before the integral

  • @ahn4951
    @ahn4951 8 місяців тому

    so good !!!

  • @brandonhung9990
    @brandonhung9990 4 роки тому +2

    Yo idk if u read my comment about uploading more calculus 2 in the last video, but if you did thank you.

  • @toyinharris7883
    @toyinharris7883 2 роки тому

    Thank you

  • @OlegAltukhov
    @OlegAltukhov 2 роки тому

    Love your videos, thank you!!

  • @muhammed5667
    @muhammed5667 Рік тому

    Example at 4:03 isn't a function

  • @TheLargestwinter3
    @TheLargestwinter3 2 роки тому

    okay these are great example for entry level of the topics can you find example using a different axis of rotation

  • @jicheolha7313
    @jicheolha7313 2 роки тому

    At 4:25, it should say h(y) = f(y)- g(y), not f(x) - g(x)

  • @shatararuiz2653
    @shatararuiz2653 7 місяців тому

    is r always equal to x?

  • @StudybyYourselfPLUS
    @StudybyYourselfPLUS 4 роки тому

    Thank you so much.

  • @hmedina79
    @hmedina79 6 місяців тому

    There is a flaw at the 2:59 mark when rotating around the x-axis. While the radius is described by y and the thickness of the shell is described by dy, the height of the rectangle cannot be measured with this orientation. The method of cylindrical shells does not work here. The method of disks and washers is more versatile, and I also find it easier.

  • @gamesnaturesite5901
    @gamesnaturesite5901 4 роки тому

    Nice teaching

  • @obedpreveau9247
    @obedpreveau9247 2 роки тому

    I call him the SAVIOR 😊😊😊😊

  • @jaewanjang4469
    @jaewanjang4469 3 роки тому

    Very helpful !!

  • @andrews5831
    @andrews5831 4 роки тому +3

    the way the college book explained it was so hard. x being the average radius makes no sense

  • @ididmuhammed4086
    @ididmuhammed4086 2 роки тому

    thanks, post also videos involving rotation about lines not parallel to x or y axis

  • @jileelab5696
    @jileelab5696 3 роки тому

    Hi! What if the Semicircle is from x=-2 to x=2? can we still use the cylindrical shell method?

  • @Emily-yq4bl
    @Emily-yq4bl 3 роки тому

    thank you so much

  • @minnil7927
    @minnil7927 2 роки тому +1

    Not clear on what R is and how to find it

  • @KhanKhan-ux2ss
    @KhanKhan-ux2ss 2 роки тому

    Thank you Sir

  • @SchneiderAndAndropov
    @SchneiderAndAndropov 3 роки тому +2

    Good luck to all, I hope you all get 5’s on your exams :)

  • @plopperspal8494
    @plopperspal8494 Рік тому

    Thank you.

  • @hextech1172
    @hextech1172 4 роки тому

    Sir can I Recommend a Topic it's about Axiomatic System