Areas by Integration (1 of 6: Basic area under curve)

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  • เผยแพร่เมื่อ 31 ม.ค. 2025

ความคิดเห็น • 123

  • @Cpt_MacTavish
    @Cpt_MacTavish 4 ปีที่แล้ว +172

    Mr Eddie Woo, you're such an amazing tutor, I wish I had a teacher like you when I was younger. I'm studying Biomedical Engineering in University right now but I keep coming back to watch your videos because they're so engaging, enlightening, and entertaining. I'm discovering things about math I was always puzzled by. Even at this level, as you know, mathematics never ends. I'm really glad there are youths out there that will grow up with your knowledge in their minds.

    • @amrosawa7143
      @amrosawa7143 4 ปีที่แล้ว +6

      I agree with you on every level, Im struggling with a similar issue as you are due to how poorly I was educated in mathematics growing up. This led to bigger issues for me though where I still struggle in basic mathematics like simplification, substitution and factorization among many many others. After graduating from university studying accounting, I struggled heavily with basic mathematics and calculus courses but still managed to pass eventually. I really want to get better at maths although it’s completely unrelated to my line of work. Still, I have no idea where to start, would love to hear how you went on about this. Thank you for reading!!

    • @Cpt_MacTavish
      @Cpt_MacTavish 4 ปีที่แล้ว +4

      @@amrosawa7143 I'm glad to hear you're taking an interest in math. Maybe start from the basics, strengthen your foundations there and then move to more complicated topics gradually. Thankfully there are a lot of TH-cam videos on various topics in math so finding them should not be hard. And if you're having problems with one you can always search and find another video that explains the topic better

    • @amrosawa7143
      @amrosawa7143 4 ปีที่แล้ว +3

      @@Cpt_MacTavish That sounds like plan! Thanks for the advice!! ⭐️

    • @yourfriend9222
      @yourfriend9222 3 ปีที่แล้ว

      th-cam.com/video/WJ21fTvjVwk/w-d-xo.html

  • @gingerdude4014
    @gingerdude4014 4 ปีที่แล้ว +67

    I don't see how people can dislike your videos. It's free and fantastic mathematics education, done by a great and enthusiastic teacher. And many of these videos are fun and interesting like the one explaining how 0! = 1.

    • @mparagames
      @mparagames 2 ปีที่แล้ว +2

      Yes, i remember i watched that one abou 4 years ago, it was truly legendary

    • @Masowe.
      @Masowe. 2 ปีที่แล้ว

      when you are a maths student on a difficult day before mocks looking for something different you feel disappointed at anything that does not answer your question and dislike it. I have done it to some videos that i later found helpful

  • @apekat5381
    @apekat5381 3 ปีที่แล้ว +4

    The accent on top of the jollyness and vibrancy he gives off, the passion for mathematics!! Much love

  • @AL-wc8oy
    @AL-wc8oy 3 ปีที่แล้ว +36

    Wow the students are so lucky having this kind of professor. So vibrant and intelligent. Whilst me I cannot understand a single thing from my teacher 😪

    • @dr.strangelove9815
      @dr.strangelove9815 3 ปีที่แล้ว +2

      Far superior to my old professor in college. My old professor would stare at the class, zone out, write as fast as he could, then erase it.

    • @Masowe.
      @Masowe. 2 ปีที่แล้ว

      @@dr.strangelove9815 hehehe, my tutor teaches the example in the textbook and give you work to do lol

  • @pacheco7421
    @pacheco7421 4 ปีที่แล้ว +6

    hi teacher, i'm a student from brazil, and i watch your videos and learn a lot from you, thanks

  • @RowardRowapore
    @RowardRowapore 4 หลายเดือนก่อน

    I bet you're the best. Your explanation is very simple and easy to understand. Thanks.

  • @nutritionbyelsa
    @nutritionbyelsa 3 ปีที่แล้ว +8

    Eddie Woo you got the best energy out here man! I love these videos and I feel a lil more excited about math after I watch... could it be that you are making math fun (gasp) big thanks!

  • @MyMathsAdventure
    @MyMathsAdventure 4 ปีที่แล้ว +306

    The biggest mistake in my life: forgetting the ‘C’ in the constant of Integration 🤦🏻‍♂️

    • @jeffreylebowski4927
      @jeffreylebowski4927 4 ปีที่แล้ว +28

      Thats the biggest mistake in your life? If thats true i envy you.

    • @harshdarji1122
      @harshdarji1122 4 ปีที่แล้ว +10

      man I feel ya! I literally have a sticky not on my wall which says 'ADD INTEGRATION CONSTANT (+C)!!!' in big. Its so annoying when you screw up a problem because of such a little detail!!!!!

    • @AL-wc8oy
      @AL-wc8oy 3 ปีที่แล้ว +1

      Me too😂

    • @petereziagor4604
      @petereziagor4604 3 ปีที่แล้ว

      Nonsense, when they're bounds, it's unnecessary putting the constant

    • @soothingbromides
      @soothingbromides 3 ปีที่แล้ว +1

      haha, it cancels, so I wouldn't bother adding it anyway

  • @karissahayes4570
    @karissahayes4570 3 ปีที่แล้ว +13

    If I had you as my math teacher I would have been happy to log into class 😔

  • @Z4rgabad
    @Z4rgabad 2 ปีที่แล้ว

    You are a great teacher. Many teachers can do but not teach

  • @svunomncibi4640
    @svunomncibi4640 ปีที่แล้ว

    Learned alot in this video
    1)Journaling your trades
    2)Accepting your losses(embrace your risk).
    3)Your competition is yourself in this industry.
    4) Always willing to become a student
    5) Be humble at all times.
    6) Stick to the process.

  • @zulfiqarali338
    @zulfiqarali338 4 ปีที่แล้ว +6

    Lets get this man to 1Mill, you deserve it

  • @vanessasenna2777
    @vanessasenna2777 3 ปีที่แล้ว +5

    Estou amando assistir suas aulas, obrigada por fazer parte da minha formação ;)

  • @anansii9140
    @anansii9140 2 ปีที่แล้ว +2

    you explained this so quick and easy, thank you

  • @tambuwalmathsclass
    @tambuwalmathsclass 4 ปีที่แล้ว +1

    My mentor 👍

  • @elisepark6123
    @elisepark6123 2 ปีที่แล้ว

    you definitely deserve likes

  • @danmohamed7982
    @danmohamed7982 4 ปีที่แล้ว +4

    Very nicely presented notes 👍🏽

  • @fatmahkodi9546
    @fatmahkodi9546 2 ปีที่แล้ว

    This was so useful sir so thanks so much things have never been more clear for me

  • @minhmouse
    @minhmouse 4 ปีที่แล้ว

    You are about to go to 1 million subs!!!!!!!!!!!

  • @surajjani4868
    @surajjani4868 3 ปีที่แล้ว +1

    So, awesome explanation sir

  • @its22dm1
    @its22dm1 3 ปีที่แล้ว +3

    Fantastic video, do you have a more detailed explanation of _why_ integrating area under a curve gives area ?

    • @carultch
      @carultch 2 ปีที่แล้ว

      Because that's the way we define integrating. As for why anti-derivatives work as a strategic way to evaluate integrals, it's called the fundamental theorem of Calculus.

  • @Nasiizulu
    @Nasiizulu 3 ปีที่แล้ว +7

    why can't my lecturer be this happy when teaching maths?? :(

    • @theassassin8317
      @theassassin8317 3 ปีที่แล้ว +2

      Mine looks like hes 2 minutes away from committing mass genocide, reviving hitler and then jumping off a cliff :/

  • @hamzavanderross1235
    @hamzavanderross1235 ปีที่แล้ว

    My name is Hamza. When I heard him say my name at 2:03 I got such a shock!

  • @scorpion3551trading
    @scorpion3551trading ปีที่แล้ว

    💥 mind blowing

  • @gracerotich6536
    @gracerotich6536 2 ปีที่แล้ว

    I have seen you on a Da Vinci, as a child…nice.

  • @madgaming810
    @madgaming810 4 ปีที่แล้ว +1

    very clear explanation thank you

  • @HiThere-ws2vg
    @HiThere-ws2vg 4 ปีที่แล้ว +1

    I love your work!

  • @jamesfeguson3445
    @jamesfeguson3445 2 ปีที่แล้ว

    Was a massive help, thank you!

  • @samrraeaskari7334
    @samrraeaskari7334 2 ปีที่แล้ว

    I wish I was in his class🥺🥺🥺💕💕💕

  • @axansimilien9402
    @axansimilien9402 3 ปีที่แล้ว

    Make it so easy!!!! Thanks Eddie!

  • @mondalassociates1146
    @mondalassociates1146 4 ปีที่แล้ว

    Thanks for this videos teacher.

  • @liltreve
    @liltreve 3 ปีที่แล้ว

    So just to clarify the integrals you put at the top and bottom are basically are x-intercepts

  • @markitsche987
    @markitsche987 4 ปีที่แล้ว +1

    I like this one. Thanks

  • @johnryder1713
    @johnryder1713 4 ปีที่แล้ว +14

    X factor, well we all know who has the x- factor for teaching Math

    • @Elixir_JPGG
      @Elixir_JPGG 3 ปีที่แล้ว

      But wat does X equal in that equation

    • @johnryder1713
      @johnryder1713 3 ปีที่แล้ว

      @@Elixir_JPGG X=Eddies a genius

  • @zpoxy
    @zpoxy 4 ปีที่แล้ว +1

    Dammit.... He makes math so interesting ❤️

  • @tambuwalmathsclass
    @tambuwalmathsclass 4 ปีที่แล้ว

    Factors indicate the roots of graph

  • @oghenetegaakeni1863
    @oghenetegaakeni1863 2 ปีที่แล้ว

    very helpful🤗

  • @mrzronnnnn5620
    @mrzronnnnn5620 4 ปีที่แล้ว

    You're awesome sir

  • @fallofmanbrand
    @fallofmanbrand 4 ปีที่แล้ว

    nice video bro

  • @jacqueslapointe4663
    @jacqueslapointe4663 ปีที่แล้ว

    have a parabola 20m high and 4o m wide i tried youur method ad it does not work the answer is 533 m

  • @thetongueee1
    @thetongueee1 2 ปีที่แล้ว

    Thank you!

  • @anilkumarsharma8901
    @anilkumarsharma8901 ปีที่แล้ว

    show in general terms only in coefficients terms ???

  • @doctomath8636
    @doctomath8636 3 ปีที่แล้ว +1

    Sir do you teach online?? I want attend your classes...

  • @annekashelley1255
    @annekashelley1255 4 ปีที่แล้ว +4

    i was working along to my own questions and I accidentally went off on one and did ur question instead :(

  • @ibrahimifham6920
    @ibrahimifham6920 2 ปีที่แล้ว

    What app and device are you using to explain these? It looks nyc

  • @وريانهاد
    @وريانهاد 3 ปีที่แล้ว

    Which tools or program you use for writing ??? good luck

  • @MrRadbadger
    @MrRadbadger 4 ปีที่แล้ว +1

    Fully sic bro

  • @امسيرين-ك9ه
    @امسيرين-ك9ه 2 ปีที่แล้ว

    How do you know the shape of functions?

  • @jaylordliquigan2594
    @jaylordliquigan2594 2 ปีที่แล้ว

    ty sir

  • @abdelrahmanelsherbini4985
    @abdelrahmanelsherbini4985 4 ปีที่แล้ว

    Damn wish my teacher could come close to this

  • @tambuwalmathsclass
    @tambuwalmathsclass 4 ปีที่แล้ว

    Upon down parabola

  • @protickkhandkar
    @protickkhandkar 2 ปีที่แล้ว +1

    If we get this PDF that will be helpful for us.

    • @harekrishnasadharan108
      @harekrishnasadharan108 ปีที่แล้ว

      Sure drive.google.com/file/d/13dXHVFa6kzlQAA7-KhYzJd5JQPt60UT5/view?usp=sharing

  • @jasonnbaek
    @jasonnbaek 3 ปีที่แล้ว

    thank you sm

  • @Ahmedahmedxyza
    @Ahmedahmedxyza 3 ปีที่แล้ว

    Hi, which software are you using for this white paper?

  • @diegoferia
    @diegoferia 4 ปีที่แล้ว

    Could you please what kind of software or whiteboard do you use? Thank.

    • @danmohamed7982
      @danmohamed7982 4 ปีที่แล้ว

      This is Notability being used on an iPad. I've used it for a few months, and it seems a really good app 👍

  • @darshantl18
    @darshantl18 4 ปีที่แล้ว

    How you draw graph like this?

  • @امسيرين-ك9ه
    @امسيرين-ك9ه 2 ปีที่แล้ว

    measured in meters؟؟؟

  • @jefrybaroi3711
    @jefrybaroi3711 2 ปีที่แล้ว

    Sir I wanted to know about the constant c after integration. I am in a mess pleaseee😢😢

    • @carultch
      @carultch 2 ปีที่แล้ว

      The idea is that there is a family of infinite functions, that share the same derivative, and for continuous functions, they only differ by a single offset constant. This is why when finding the indefinite integral, you always add +C to the end of your answer. We can call it anything we want, but because constant starts with a C, the de-facto name for it is C.
      Some applications, like repeated integrals, will require you to carry multiple constants of integration, and you'll end up with integral of integral of F(x) dx dx = G(x) + c1*x + c2, as your indefinite repeated integral. An application of this is kinematics, where you know acceleration as a function of time, and you want to find position as a function of time. You need to know initial velocity and initial position, to solve for c1 and c2.
      If you are doing an indefinite integral, you add +C at the end. If you are doing a definite integral with limits of integration, the C's will ultimately cancel, and it doesn't matter whether you included the +C or not.

    • @carultch
      @carultch 2 ปีที่แล้ว +1

      It gets more complicated when you have discontinuities. For instance, integral of 1/x dx. Most classes will teach you to solve this as ln(|x|) + C, and call it a day. However, the actual answer is piecewise of ln(-x) + C for x0. Because I can independently shift both the positive and negative halves of the graph, and still have the same derivative. This is beyond what most instructors expect of you, and a simple +C is good enough for most practical applications. You can't really carry out integrals across discontinuities anyway, so it is rare that the difference will govern an application of the integral.

  • @Vanessamashia
    @Vanessamashia 3 ปีที่แล้ว

    lower will be 0 and upper will be 3

  • @houcinemerzougui1279
    @houcinemerzougui1279 4 ปีที่แล้ว +1

    Mr. Can u tell by what can i begin to be an expert in maths?

  • @manjumanl222
    @manjumanl222 4 ปีที่แล้ว +1

    Sir would you mind doing ,some Laplace , Fourier Transforme ?

  • @shamsheralam2300
    @shamsheralam2300 4 ปีที่แล้ว

    UL=3,LL=0

  • @philosophertiger4124
    @philosophertiger4124 2 ปีที่แล้ว

    time to get through calc 2

  • @jorgeluiscalderongonzalez5392
    @jorgeluiscalderongonzalez5392 3 ปีที่แล้ว

    Im in 3rd grade and this is easy for me 👁👄👁

  • @AbuAlShah
    @AbuAlShah ปีที่แล้ว

    damn, the tongue flicks

  • @alaknandakathar4590
    @alaknandakathar4590 4 ปีที่แล้ว +1

    I saw ur all quadriatic equation video but didn't got my answer
    81x⁴-72x³+px²-8x+1 is a perfect square then 'p' is

  • @kageyama-kun1744
    @kageyama-kun1744 4 ปีที่แล้ว

    What? You have Sasha Braun as your student?

    • @asmallguy6124
      @asmallguy6124 3 ปีที่แล้ว +1

      pretty sure it was Sasha Knox

  • @thabisombingo9649
    @thabisombingo9649 3 ปีที่แล้ว

    This guys is always savoring and swallowing its wierd

    • @asmallguy6124
      @asmallguy6124 3 ปีที่แล้ว

      his videos are quite informative, but I just cringe at him calling (possibly) non-existent students with common names

  • @muhammadhumayunkabir4083
    @muhammadhumayunkabir4083 4 ปีที่แล้ว

    In which software are u writing?

  • @امسيرين-ك9ه
    @امسيرين-ك9ه 2 ปีที่แล้ว

    in real life????

  • @johnsonboy
    @johnsonboy 3 ปีที่แล้ว

    My guy, will you please replace my instructor(s) please? Thank you

  • @sunreetdheer4965
    @sunreetdheer4965 4 ปีที่แล้ว +1

    I think I came to the wrong video
    I’m in year 7
    😂😂😂

  • @PhysicsFunwithDharmeshKareliya
    @PhysicsFunwithDharmeshKareliya 4 ปีที่แล้ว

    It's parabola

  • @cradleblaze3491
    @cradleblaze3491 4 ปีที่แล้ว

    Sry but I didn't expect that accent
    but thanks a lot

  • @phantrash406
    @phantrash406 4 ปีที่แล้ว

    Eddie woo

  • @aleksszukovskis2074
    @aleksszukovskis2074 4 ปีที่แล้ว

    can you do programming please?

  • @viveksaini8839
    @viveksaini8839 4 ปีที่แล้ว

    Hello sir

  • @kennedyngituyu3443
    @kennedyngituyu3443 3 ปีที่แล้ว

    use fewer words 🙏🏾🙂

  • @petereziagor4604
    @petereziagor4604 3 ปีที่แล้ว

    Lol

  • @瘋狂是真實的
    @瘋狂是真實的 3 ปีที่แล้ว

    Hello

  • @namansingla2975
    @namansingla2975 4 ปีที่แล้ว +1

    Is it only me or he just covers the same topics again and again?!

    • @沈博智-x5y
      @沈博智-x5y 4 ปีที่แล้ว +7

      This time instead of just giving an integral, the question is worded in a different way. Thus, he is trying to teach his students that although a question may be worded with "find an area", they can use integrals to assist to find an area. When just given an integral, your output should just be a number. However, if the question said "find an area", you use integrals to help you get the "value" of the answer then in another line, say something like:
      Therefore, the area is _ units^2 (obviously if there were specific units like metres, then say m^2 etc....).
      In a nutshell, he's just following the NESA Mathematics Advanced syllabus dot points.

  • @blessatorres5745
    @blessatorres5745 2 ปีที่แล้ว

    The pronunciation 😬

  • @nicnica6311
    @nicnica6311 2 ปีที่แล้ว

    Oh fuck this , imma mop floors for for McDonald's or open doors at a hotel either ways at least I won't go insane with this nonsense shit