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

Поділитися
Вставка
  • Опубліковано 28 гру 2024

КОМЕНТАРІ • 123

  • @Cpt_MacTavish
    @Cpt_MacTavish 4 роки тому +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 роки тому +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 роки тому +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 UA-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 роки тому +3

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

    • @yourfriend9222
      @yourfriend9222 3 роки тому

      ua-cam.com/video/WJ21fTvjVwk/v-deo.html

  • @gingerdude4014
    @gingerdude4014 4 роки тому +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 роки тому +2

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

    • @Masowe.
      @Masowe. 2 роки тому

      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 роки тому +4

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

  • @AL-wc8oy
    @AL-wc8oy 3 роки тому +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 роки тому +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 роки тому

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

  • @RowardRowapore
    @RowardRowapore 3 місяці тому

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

  • @MyMathsAdventure
    @MyMathsAdventure 4 роки тому +306

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

    • @jeffreylebowski4927
      @jeffreylebowski4927 4 роки тому +28

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

    • @harshdarji1122
      @harshdarji1122 4 роки тому +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 роки тому +1

      Me too😂

    • @petereziagor4604
      @petereziagor4604 3 роки тому

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

    • @soothingbromides
      @soothingbromides 3 роки тому +1

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

  • @pacheco7421
    @pacheco7421 4 роки тому +6

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

  • @karissahayes4570
    @karissahayes4570 3 роки тому +13

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

  • @nutritionbyelsa
    @nutritionbyelsa 3 роки тому +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!

  • @Z4rgabad
    @Z4rgabad 2 роки тому

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

  • @svunomncibi4640
    @svunomncibi4640 Рік тому

    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 роки тому +6

    Lets get this man to 1Mill, you deserve it

  • @elisepark6123
    @elisepark6123 2 роки тому

    you definitely deserve likes

  • @vanessasenna2777
    @vanessasenna2777 3 роки тому +5

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

  • @anansii9140
    @anansii9140 2 роки тому +2

    you explained this so quick and easy, thank you

  • @tambuwalmathsclass
    @tambuwalmathsclass 4 роки тому +1

    My mentor 👍

  • @minhmouse
    @minhmouse 4 роки тому

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

  • @danmohamed7982
    @danmohamed7982 4 роки тому +4

    Very nicely presented notes 👍🏽

  • @fatmahkodi9546
    @fatmahkodi9546 2 роки тому

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

  • @its22dm1
    @its22dm1 3 роки тому +3

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

    • @carultch
      @carultch 2 роки тому

      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.

  • @surajjani4868
    @surajjani4868 3 роки тому +1

    So, awesome explanation sir

  • @hamzavanderross1235
    @hamzavanderross1235 Рік тому

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

  • @scorpion3551trading
    @scorpion3551trading Рік тому

    💥 mind blowing

  • @Nasiizulu
    @Nasiizulu 3 роки тому +7

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

    • @theassassin8317
      @theassassin8317 3 роки тому +2

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

  • @gracerotich6536
    @gracerotich6536 2 роки тому

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

  • @HiThere-ws2vg
    @HiThere-ws2vg 4 роки тому +1

    I love your work!

  • @jamesfeguson3445
    @jamesfeguson3445 2 роки тому

    Was a massive help, thank you!

  • @madgaming810
    @madgaming810 3 роки тому +1

    very clear explanation thank you

  • @zpoxy
    @zpoxy 4 роки тому +1

    Dammit.... He makes math so interesting ❤️

  • @axansimilien9402
    @axansimilien9402 3 роки тому

    Make it so easy!!!! Thanks Eddie!

  • @johnryder1713
    @johnryder1713 4 роки тому +14

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

    • @Elixir_JPGG
      @Elixir_JPGG 3 роки тому

      But wat does X equal in that equation

    • @johnryder1713
      @johnryder1713 3 роки тому

      @@Elixir_JPGG X=Eddies a genius

  • @liltreve
    @liltreve 3 роки тому

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

  • @mondalassociates1146
    @mondalassociates1146 4 роки тому

    Thanks for this videos teacher.

  • @doctomath8636
    @doctomath8636 3 роки тому +1

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

  • @oghenetegaakeni1863
    @oghenetegaakeni1863 2 роки тому

    very helpful🤗

  • @markitsche987
    @markitsche987 4 роки тому +1

    I like this one. Thanks

  • @annekashelley1255
    @annekashelley1255 4 роки тому +4

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

  • @mrzronnnnn5620
    @mrzronnnnn5620 4 роки тому

    You're awesome sir

  • @samrraeaskari7334
    @samrraeaskari7334 2 роки тому

    I wish I was in his class🥺🥺🥺💕💕💕

  • @وريانهاد
    @وريانهاد 3 роки тому

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

  • @امسيرين-ك9ه
    @امسيرين-ك9ه 2 роки тому

    How do you know the shape of functions?

  • @jacqueslapointe4663
    @jacqueslapointe4663 Рік тому

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

  • @anilkumarsharma8901
    @anilkumarsharma8901 Рік тому

    show in general terms only in coefficients terms ???

  • @ibrahimifham6920
    @ibrahimifham6920 2 роки тому

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

  • @tambuwalmathsclass
    @tambuwalmathsclass 4 роки тому

    Factors indicate the roots of graph

  • @protickkhandkar
    @protickkhandkar 2 роки тому +1

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

    • @SadharanLadkaIsBack
      @SadharanLadkaIsBack Рік тому

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

  • @diegoferia
    @diegoferia 4 роки тому

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

    • @danmohamed7982
      @danmohamed7982 4 роки тому

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

  • @MrRadbadger
    @MrRadbadger 4 роки тому +1

    Fully sic bro

  • @fallofmanbrand
    @fallofmanbrand 4 роки тому

    nice video bro

  • @Ahmedahmedxyza
    @Ahmedahmedxyza 3 роки тому

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

  • @darshantl18
    @darshantl18 4 роки тому

    How you draw graph like this?

  • @houcinemerzougui1279
    @houcinemerzougui1279 4 роки тому +1

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

  • @manjumanl222
    @manjumanl222 4 роки тому +1

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

  • @abdelrahmanelsherbini4985
    @abdelrahmanelsherbini4985 4 роки тому

    Damn wish my teacher could come close to this

  • @thetongueee1
    @thetongueee1 Рік тому

    Thank you!

  • @jefrybaroi3711
    @jefrybaroi3711 2 роки тому

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

    • @carultch
      @carultch 2 роки тому

      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 роки тому +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.

  • @امسيرين-ك9ه
    @امسيرين-ك9ه 2 роки тому

    measured in meters؟؟؟

  • @tambuwalmathsclass
    @tambuwalmathsclass 4 роки тому

    Upon down parabola

  • @jaylordliquigan2594
    @jaylordliquigan2594 2 роки тому

    ty sir

  • @alaknandakathar4590
    @alaknandakathar4590 4 роки тому +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

  • @AbuAlShah
    @AbuAlShah Рік тому

    damn, the tongue flicks

  • @jorgeluiscalderongonzalez5392
    @jorgeluiscalderongonzalez5392 2 роки тому

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

  • @kageyama-kun1744
    @kageyama-kun1744 3 роки тому

    What? You have Sasha Braun as your student?

  • @philosophertiger4124
    @philosophertiger4124 2 роки тому

    time to get through calc 2

  • @jasonnbaek
    @jasonnbaek 3 роки тому

    thank you sm

  • @shamsheralam2300
    @shamsheralam2300 4 роки тому

    UL=3,LL=0

  • @sunreetdheer4965
    @sunreetdheer4965 4 роки тому +1

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

  • @Vanessamashia
    @Vanessamashia 3 роки тому

    lower will be 0 and upper will be 3

  • @thabisombingo9649
    @thabisombingo9649 3 роки тому

    This guys is always savoring and swallowing its wierd

    • @asmallguy6124
      @asmallguy6124 3 роки тому

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

  • @muhammadhumayunkabir4083
    @muhammadhumayunkabir4083 4 роки тому

    In which software are u writing?

  • @johnsonboy
    @johnsonboy 3 роки тому

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

  • @امسيرين-ك9ه
    @امسيرين-ك9ه 2 роки тому

    in real life????

  • @cradleblaze3491
    @cradleblaze3491 4 роки тому

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

  • @PhysicsFunwithDharmeshKareliya
    @PhysicsFunwithDharmeshKareliya 4 роки тому

    It's parabola

  • @aleksszukovskis2074
    @aleksszukovskis2074 4 роки тому

    can you do programming please?

  • @viveksaini8839
    @viveksaini8839 4 роки тому

    Hello sir

  • @瘋狂是真實的
    @瘋狂是真實的 3 роки тому

    Hello

  • @kennedyngituyu3443
    @kennedyngituyu3443 3 роки тому

    use fewer words 🙏🏾🙂

  • @phantrash406
    @phantrash406 4 роки тому

    Eddie woo

  • @petereziagor4604
    @petereziagor4604 3 роки тому

    Lol

  • @namansingla2975
    @namansingla2975 4 роки тому +1

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

    • @沈博智-x5y
      @沈博智-x5y 4 роки тому +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 роки тому

    The pronunciation 😬

  • @nicnica6311
    @nicnica6311 2 роки тому

    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