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

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  • čas přidán 28. 08. 2024

Komentáře • 122

  • @Cpt_MacTavish
    @Cpt_MacTavish Před 4 lety +170

    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 Před 3 lety +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 Před 3 lety +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 CZcams 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 Před 3 lety +3

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

    • @yourfriend9222
      @yourfriend9222 Před 3 lety

      czcams.com/video/WJ21fTvjVwk/video.html

  • @AL-wc8oy
    @AL-wc8oy Před 3 lety +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 Před 2 lety +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. Před rokem

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

  • @gingerdude4014
    @gingerdude4014 Před 4 lety +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 Před rokem +2

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

    • @Masowe.
      @Masowe. Před rokem

      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 Před 3 lety +4

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

  • @MyMathsAdventure
    @MyMathsAdventure Před 4 lety +305

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

    • @jeffreylebowski4927
      @jeffreylebowski4927 Před 4 lety +28

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

    • @harshdarji1122
      @harshdarji1122 Před 4 lety +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 Před 3 lety +1

      Me too😂

    • @petereziagor4604
      @petereziagor4604 Před 3 lety

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

    • @soothingbromides
      @soothingbromides Před 3 lety +1

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

  • @svunomncibi4640
    @svunomncibi4640 Před 9 měsíci

    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.

  • @pacheco7421
    @pacheco7421 Před 4 lety +6

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

  • @nutritionbyelsa
    @nutritionbyelsa Před 3 lety +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!

  • @karissahayes4570
    @karissahayes4570 Před 3 lety +12

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

  • @vanessasenna2777
    @vanessasenna2777 Před 2 lety +5

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

  • @Z4rgabad
    @Z4rgabad Před 2 lety

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

  • @anansii9140
    @anansii9140 Před rokem +2

    you explained this so quick and easy, thank you

  • @zulfiqarali338
    @zulfiqarali338 Před 4 lety +6

    Lets get this man to 1Mill, you deserve it

  • @fatmahkodi9546
    @fatmahkodi9546 Před 2 lety

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

  • @danmohamed7982
    @danmohamed7982 Před 4 lety +4

    Very nicely presented notes 👍🏽

  • @tambuwalmathsclass
    @tambuwalmathsclass Před 4 lety +1

    My mentor 👍

  • @minhmouse
    @minhmouse Před 4 lety

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

  • @nasiphizulu3403
    @nasiphizulu3403 Před 3 lety +7

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

    • @theassassin8317
      @theassassin8317 Před 3 lety +2

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

  • @surajjani4868
    @surajjani4868 Před 3 lety +1

    So, awesome explanation sir

  • @its22dm1
    @its22dm1 Před 3 lety +3

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

    • @carultch
      @carultch Před rokem

      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.

  • @hamzavanderross1235
    @hamzavanderross1235 Před rokem

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

  • @elisepark6123
    @elisepark6123 Před rokem

    you definitely deserve likes

  • @HiThere-ws2vg
    @HiThere-ws2vg Před 4 lety +1

    I love your work!

  • @madgaming810
    @madgaming810 Před 3 lety +1

    very clear explanation thank you

  • @johnryder1713
    @johnryder1713 Před 4 lety +14

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

  • @jamesfeguson3445
    @jamesfeguson3445 Před 2 lety

    Was a massive help, thank you!

  • @liltreve
    @liltreve Před 3 lety

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

  • @gracerotich6536
    @gracerotich6536 Před rokem

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

  • @axansimilien9402
    @axansimilien9402 Před 3 lety

    Make it so easy!!!! Thanks Eddie!

  • @scorpion3551trading
    @scorpion3551trading Před rokem

    💥 mind blowing

  • @markitsche987
    @markitsche987 Před 4 lety +1

    I like this one. Thanks

  • @annekashelley1255
    @annekashelley1255 Před 3 lety +4

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

  • @mondalassociates1146
    @mondalassociates1146 Před 4 lety

    Thanks for this videos teacher.

  • @doctomath8636
    @doctomath8636 Před 3 lety +1

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

  • @user-qd6hh1zm5f
    @user-qd6hh1zm5f Před 2 lety

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

  • @anilkumarsharma8901
    @anilkumarsharma8901 Před rokem

    show in general terms only in coefficients terms ???

  • @zpoxy
    @zpoxy Před 4 lety +1

    Dammit.... He makes math so interesting ❤️

  • @jacqueslapointe4663
    @jacqueslapointe4663 Před rokem

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

  • @ibrahimifham6920
    @ibrahimifham6920 Před 2 lety

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

  • @mrzronnnnn5620
    @mrzronnnnn5620 Před 4 lety

    You're awesome sir

  • @user-id4lv9hs2h
    @user-id4lv9hs2h Před rokem

    How do you know the shape of functions?

  • @Ahmed7255
    @Ahmed7255 Před 3 lety

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

  • @samrraeaskari7334
    @samrraeaskari7334 Před rokem

    I wish I was in his class🥺🥺🥺💕💕💕

  • @thetongueee1
    @thetongueee1 Před rokem

    Thank you!

  • @diegoferia
    @diegoferia Před 4 lety

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

    • @danmohamed7982
      @danmohamed7982 Před 4 lety

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

  • @oghenetegaakeni1863
    @oghenetegaakeni1863 Před rokem

    very helpful🤗

  • @MrRadbadger
    @MrRadbadger Před 4 lety +1

    Fully sic bro

  • @darshantl18
    @darshantl18 Před 3 lety

    How you draw graph like this?

  • @fallofmanbrand
    @fallofmanbrand Před 4 lety

    nice video bro

  • @user-id4lv9hs2h
    @user-id4lv9hs2h Před rokem

    measured in meters؟؟؟

  • @houcinemerzougui1279
    @houcinemerzougui1279 Před 4 lety +1

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

  • @abdelrahmanelsherbini4985

    Damn wish my teacher could come close to this

  • @tambuwalmathsclass
    @tambuwalmathsclass Před 4 lety

    Factors indicate the roots of graph

  • @protickkhandkar
    @protickkhandkar Před 2 lety +1

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

    • @SadharanLadkaIsBack
      @SadharanLadkaIsBack Před 10 měsíci

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

  • @muhammadhumayunkabir4083

    In which software are u writing?

  • @alaknandakathar4590
    @alaknandakathar4590 Před 4 lety +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

  • @jefrybaroi3711
    @jefrybaroi3711 Před 2 lety

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

    • @carultch
      @carultch Před rokem

      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 Před rokem +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.

  • @jaylordliquigan2594
    @jaylordliquigan2594 Před 2 lety

    ty sir

  • @jasonnbaek
    @jasonnbaek Před 2 lety

    thank you sm

  • @manjumanl5279
    @manjumanl5279 Před 4 lety +1

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

  • @kendricklamarofthe7seas490

    damn, the tongue flicks

  • @user-id4lv9hs2h
    @user-id4lv9hs2h Před rokem

    in real life????

  • @tambuwalmathsclass
    @tambuwalmathsclass Před 4 lety

    Upon down parabola

  • @philosophertiger4124
    @philosophertiger4124 Před 2 lety

    time to get through calc 2

  • @Vanessamashia
    @Vanessamashia Před 2 lety

    lower will be 0 and upper will be 3

  • @johnsonboy
    @johnsonboy Před 3 lety

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

  • @shamsheralam2300
    @shamsheralam2300 Před 4 lety

    UL=3,LL=0

  • @sunreetdheer4965
    @sunreetdheer4965 Před 3 lety +1

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

  • @thabisombingo9649
    @thabisombingo9649 Před 3 lety

    This guys is always savoring and swallowing its wierd

    • @asmallguy6124
      @asmallguy6124 Před 2 lety

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

  • @jorgeluiscalderongonzalez5392

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

  • @kageyama-kun1744
    @kageyama-kun1744 Před 3 lety

    What? You have Sasha Braun as your student?

  • @cradleblaze3491
    @cradleblaze3491 Před 3 lety

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

  • @PhysicsFunwithDharmeshKareliya

    It's parabola

  • @viveksaini8839
    @viveksaini8839 Před 3 lety

    Hello sir

  • @phantrash406
    @phantrash406 Před 4 lety

    Eddie woo

  • @aleksszukovskis2074
    @aleksszukovskis2074 Před 4 lety

    can you do programming please?

  • @kennedyngituyu3443
    @kennedyngituyu3443 Před 3 lety

    use fewer words 🙏🏾🙂

  • @user-yy3xd4vl8s
    @user-yy3xd4vl8s Před 3 lety

    Hello

  • @petereziagor4604
    @petereziagor4604 Před 3 lety

    Lol

  • @namansingla2975
    @namansingla2975 Před 4 lety +1

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

    • @user-pv5hd1vu1t
      @user-pv5hd1vu1t Před 4 lety +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 Před 2 lety

    The pronunciation 😬

  • @nicnica6311
    @nicnica6311 Před rokem

    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