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

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  • Опубликовано: 28 ноя 2024

Комментарии • 123

  • @Cpt_MacTavish
    @Cpt_MacTavish 4 года назад +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 4 года назад +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 года назад +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 RUclips 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 года назад +3

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

    • @yourfriend9222
      @yourfriend9222 3 года назад

      ruclips.net/video/WJ21fTvjVwk/видео.html

  • @gingerdude4014
    @gingerdude4014 4 года назад +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 года назад +2

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

    • @Masowe.
      @Masowe. Год назад

      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 года назад +4

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

  • @AL-wc8oy
    @AL-wc8oy 3 года назад +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 2 года назад +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. Год назад

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

  • @svunomncibi4640
    @svunomncibi4640 Год назад

    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.

  • @MyMathsAdventure
    @MyMathsAdventure 4 года назад +307

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

    • @jeffreylebowski4927
      @jeffreylebowski4927 4 года назад +28

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

    • @harshdarji1122
      @harshdarji1122 4 года назад +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 года назад +1

      Me too😂

    • @petereziagor4604
      @petereziagor4604 3 года назад

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

    • @soothingbromides
      @soothingbromides 3 года назад +1

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

  • @RowardRowapore
    @RowardRowapore 2 месяца назад

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

  • @pacheco7421
    @pacheco7421 4 года назад +6

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

  • @Z4rgabad
    @Z4rgabad 2 года назад

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

  • @karissahayes4570
    @karissahayes4570 3 года назад +12

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

  • @nutritionbyelsa
    @nutritionbyelsa 3 года назад +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!

  • @zulfiqarali338
    @zulfiqarali338 4 года назад +6

    Lets get this man to 1Mill, you deserve it

  • @tambuwalmathsclass
    @tambuwalmathsclass 4 года назад +1

    My mentor 👍

  • @vanessasenna2777
    @vanessasenna2777 3 года назад +5

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

  • @anansii9140
    @anansii9140 2 года назад +2

    you explained this so quick and easy, thank you

  • @danmohamed7982
    @danmohamed7982 4 года назад +4

    Very nicely presented notes 👍🏽

  • @Nasiizulu
    @Nasiizulu 3 года назад +7

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

    • @theassassin8317
      @theassassin8317 3 года назад +2

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

  • @fatmahkodi9546
    @fatmahkodi9546 2 года назад

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

  • @minhmouse
    @minhmouse 4 года назад

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

  • @surajjani4868
    @surajjani4868 3 года назад +1

    So, awesome explanation sir

  • @its22dm1
    @its22dm1 3 года назад +3

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

    • @carultch
      @carultch 2 года назад

      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.

  • @johnryder1713
    @johnryder1713 4 года назад +14

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

    • @Elixir_JPGG
      @Elixir_JPGG 3 года назад

      But wat does X equal in that equation

    • @johnryder1713
      @johnryder1713 3 года назад

      @@Elixir_JPGG X=Eddies a genius

  • @elisepark6123
    @elisepark6123 Год назад

    you definitely deserve likes

  • @madgaming810
    @madgaming810 3 года назад +1

    very clear explanation thank you

  • @gracerotich6536
    @gracerotich6536 2 года назад

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

  • @HiThere-ws2vg
    @HiThere-ws2vg 4 года назад +1

    I love your work!

  • @scorpion3551trading
    @scorpion3551trading Год назад

    💥 mind blowing

  • @jamesfeguson3445
    @jamesfeguson3445 2 года назад

    Was a massive help, thank you!

  • @zpoxy
    @zpoxy 4 года назад +1

    Dammit.... He makes math so interesting ❤️

  • @hamzavanderross1235
    @hamzavanderross1235 Год назад

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

  • @liltreve
    @liltreve 3 года назад

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

  • @axansimilien9402
    @axansimilien9402 3 года назад

    Make it so easy!!!! Thanks Eddie!

  • @mondalassociates1146
    @mondalassociates1146 4 года назад

    Thanks for this videos teacher.

  • @markitsche987
    @markitsche987 4 года назад +1

    I like this one. Thanks

  • @mrzronnnnn5620
    @mrzronnnnn5620 4 года назад

    You're awesome sir

  • @samrraeaskari7334
    @samrraeaskari7334 2 года назад

    I wish I was in his class🥺🥺🥺💕💕💕

  • @fallofmanbrand
    @fallofmanbrand 4 года назад

    nice video bro

  • @oghenetegaakeni1863
    @oghenetegaakeni1863 Год назад

    very helpful🤗

  • @tambuwalmathsclass
    @tambuwalmathsclass 4 года назад

    Factors indicate the roots of graph

  • @MrRadbadger
    @MrRadbadger 4 года назад +1

    Fully sic bro

  • @tambuwalmathsclass
    @tambuwalmathsclass 4 года назад

    Upon down parabola

  • @وريانهاد
    @وريانهاد 3 года назад

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

  • @annekashelley1255
    @annekashelley1255 4 года назад +4

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

  • @امسيرين-ك9ه
    @امسيرين-ك9ه 2 года назад

    How do you know the shape of functions?

  • @thetongueee1
    @thetongueee1 Год назад

    Thank you!

  • @jacqueslapointe4663
    @jacqueslapointe4663 Год назад

    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 2 года назад

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

  • @doctomath8636
    @doctomath8636 3 года назад +1

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

  • @anilkumarsharma8901
    @anilkumarsharma8901 Год назад

    show in general terms only in coefficients terms ???

  • @darshantl18
    @darshantl18 4 года назад

    How you draw graph like this?

  • @protickkhandkar
    @protickkhandkar 2 года назад +1

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

    • @SadharanLadkaIsBack
      @SadharanLadkaIsBack Год назад

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

  • @abdelrahmanelsherbini4985
    @abdelrahmanelsherbini4985 4 года назад

    Damn wish my teacher could come close to this

  • @jaylordliquigan2594
    @jaylordliquigan2594 2 года назад

    ty sir

  • @jasonnbaek
    @jasonnbaek 3 года назад

    thank you sm

  • @diegoferia
    @diegoferia 4 года назад

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

    • @danmohamed7982
      @danmohamed7982 4 года назад

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

  • @houcinemerzougui1279
    @houcinemerzougui1279 4 года назад +1

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

  • @Ahmed7255
    @Ahmed7255 3 года назад

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

  • @manjumanl222
    @manjumanl222 4 года назад +1

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

  • @philosophertiger4124
    @philosophertiger4124 2 года назад

    time to get through calc 2

  • @Vanessamashia
    @Vanessamashia 3 года назад

    lower will be 0 and upper will be 3

  • @thabisombingo9649
    @thabisombingo9649 3 года назад

    This guys is always savoring and swallowing its wierd

    • @asmallguy6124
      @asmallguy6124 3 года назад

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

  • @jefrybaroi3711
    @jefrybaroi3711 2 года назад

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

    • @carultch
      @carultch 2 года назад

      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 года назад +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.

  • @shamsheralam2300
    @shamsheralam2300 4 года назад

    UL=3,LL=0

  • @امسيرين-ك9ه
    @امسيرين-ك9ه 2 года назад

    measured in meters؟؟؟

  • @jorgeluiscalderongonzalez5392
    @jorgeluiscalderongonzalez5392 2 года назад

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

  • @AbuAlShah
    @AbuAlShah Год назад

    damn, the tongue flicks

  • @sunreetdheer4965
    @sunreetdheer4965 4 года назад +1

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

  • @PhysicsFunwithDharmeshKareliya
    @PhysicsFunwithDharmeshKareliya 4 года назад

    It's parabola

  • @امسيرين-ك9ه
    @امسيرين-ك9ه 2 года назад

    in real life????

  • @alaknandakathar4590
    @alaknandakathar4590 4 года назад +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

  • @cradleblaze3491
    @cradleblaze3491 4 года назад

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

  • @johnsonboy
    @johnsonboy 3 года назад

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

  • @muhammadhumayunkabir4083
    @muhammadhumayunkabir4083 4 года назад

    In which software are u writing?

  • @viveksaini8839
    @viveksaini8839 4 года назад

    Hello sir

  • @phantrash406
    @phantrash406 4 года назад

    Eddie woo

  • @kageyama-kun1744
    @kageyama-kun1744 3 года назад

    What? You have Sasha Braun as your student?

  • @aleksszukovskis2074
    @aleksszukovskis2074 4 года назад

    can you do programming please?

  • @瘋狂是真實的
    @瘋狂是真實的 3 года назад

    Hello

  • @kennedyngituyu3443
    @kennedyngituyu3443 3 года назад

    use fewer words 🙏🏾🙂

  • @petereziagor4604
    @petereziagor4604 3 года назад

    Lol

  • @namansingla2975
    @namansingla2975 4 года назад +1

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

    • @沈博智-x5y
      @沈博智-x5y 4 года назад +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 года назад

    The pronunciation 😬

  • @nicnica6311
    @nicnica6311 2 года назад

    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