Areas by Integration (6 of 6: Area under y = ln x)

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  • Опубліковано 4 лис 2024

КОМЕНТАРІ • 72

  • @ditaisyiyah
    @ditaisyiyah 4 роки тому +20

    i love the way you are so enthusiastic for all the probles no matter how easy is it...

  • @IGOT_7
    @IGOT_7 4 роки тому +15

    I was just about to start studying about areas by integration for my entrance exam and i just got this in my notifications!!
    Thank you!!!

  • @munchieyogi
    @munchieyogi 3 роки тому +3

    You really know what youre talking about, appreciate your enthusiastic approach and how you slowly break down why things are done a certain way. Thanks for this lesson, regards future chemical engineer.

  • @drpkmath12345
    @drpkmath12345 4 роки тому +2

    Great connection you make from the previous video! Cool!!

  • @bryantwiltrout5492
    @bryantwiltrout5492 4 роки тому +1

    Logarithmic functions always stumped me in school. This was fun to watch.

  • @joseluz11
    @joseluz11 4 роки тому +4

    We can also integrate by parts ln(x), and it will give us x(lnx-1), and then evaluate it.
    That will be much easier an simple.

  • @nadeemjabla
    @nadeemjabla 2 роки тому

    Thank you so much you’re helping students all over the world

  • @hasnaintejani9307
    @hasnaintejani9307 10 місяців тому

    Amazing presentation.i always get confused between the area under the curve and area bound by the curve. Thank you for clarifying this in your other video.

  • @akurugjose
    @akurugjose 3 роки тому

    Hi Eddie, you are fantastic!
    especially here, you pointed out some of the common mistakes or blunders students do comment often -I for instance a victim; misapplication of concepts. instead of integration, we set off to doing differentiation.

  • @hamzabouzid7508
    @hamzabouzid7508 4 роки тому +1

    Thank you very much professor
    I hope one day to be just like you ✌😁
    And thanks again for all the education and help you do for us
    You know,you do a great job, keep calm and teach the world ✌😁

  • @Cocaine_officer
    @Cocaine_officer 2 роки тому +1

    straightforward solution for 1:16
    Formulae : ∫ ln x dx = x log x - x + c
    proof:
    integrating by parts ∫ 1. log x dx
    II I
    ∫ log x dx
    = log x ∫ 1 dx - ∫ [ d/dx (log x) ∫ 1 dx ] dx
    = log x(x) - ∫ (1/x) * x dx
    = x log x - ∫ 1 dx
    = x log x - x + C
    substitue the formulae

  • @musicsubicandcebu1774
    @musicsubicandcebu1774 4 роки тому +1

    Switching to inverse ( y = e^x) works too. Area = 3In3 - Integral, from In3 to 0, of e^x .

  • @stormbrakerable
    @stormbrakerable 4 роки тому

    Excellent example!
    Thanks Eddie Woo

  • @luyandammeli4285
    @luyandammeli4285 2 роки тому

    You really made me understand... you break it down so well, thank you so much😁😁

  • @zaheeruddin323
    @zaheeruddin323 4 роки тому +2

    Good job man I like that notability and webcam setup but I suggest work more on the adjustments you can do it better!

  • @selinawang6532
    @selinawang6532 4 роки тому +3

    I used to think Aus Maths at high school are easier than China's. As it turns out, it is not!
    Aus has been catching up on Maths teaching, well done!

  • @lemonlemon7272
    @lemonlemon7272 3 роки тому +1

    mr.woo i have a doubt .
    i guess the answer should be 2-3ln3 cause 3ln3-2 is negative
    please correct me if im wrong

  • @tamannaislam8051
    @tamannaislam8051 3 роки тому

    Love from Bangladesh

  • @hemanthkotagiri8865
    @hemanthkotagiri8865 4 роки тому +4

    I really want to know the other way around. The tough way. Trying to solve with the lnx. Can you please put out a video on that?

    • @stormbrakerable
      @stormbrakerable 4 роки тому +6

      Use integration by parts and you'll get the same answer :)

    • @lemonlemon7272
      @lemonlemon7272 3 роки тому +2

      the integral of logx is xlogx - x
      now u can directly work on it
      ps:- u can find the integral of logx by using integration by parts.

  • @ksubscribersWithoutanyvi-tu9kd
    @ksubscribersWithoutanyvi-tu9kd 4 роки тому

    I love watching your tv show

  • @surendrasuthar6422
    @surendrasuthar6422 4 роки тому +1

    love from india🇮🇳🇮🇳☺😊😍

  • @darshh.poetry2193
    @darshh.poetry2193 4 роки тому

    Nice explanation ❤

  • @kunaljaju646
    @kunaljaju646 2 роки тому

    The integral of lnx is xlnx-x

  • @reganafari6649
    @reganafari6649 4 роки тому +1

    Mr. Woo, how do I make such a nice video?

  • @profboucif
    @profboucif 4 роки тому +2

    Hi teacher, What program did you use for writing?

    • @danmohamed7982
      @danmohamed7982 4 роки тому

      He’s using Notability on an iPad 🙂. I’ve been using it for a couple of months and it works really well 👍

  • @suryaganesh8567
    @suryaganesh8567 4 роки тому

    Or you can use UV integration formula taking lnx and 1. You will get I=x(lnx)-x+c

  • @n.y.c.2070
    @n.y.c.2070 4 роки тому +1

    It isn’t related to the topic but do you use iPad ?

  • @iamjedidiah
    @iamjedidiah 3 роки тому

    Thank you

  • @operationblackout1095
    @operationblackout1095 3 роки тому

    since both lengths of rectangle are the same can i just use 3 as a length and not ln3 ?

  • @scienco-gratia
    @scienco-gratia 2 роки тому

    Why didn't you solve this through integration by parts?is it a way to reach the answer

  • @dangerouspanda664
    @dangerouspanda664 2 роки тому

    wait, so the integral of e^y is also e^y ? o.o

  • @mkumar1544.
    @mkumar1544. 7 місяців тому

    Thanks 👍

  • @chessandmathguy
    @chessandmathguy 4 роки тому

    Beautiful. Fucking beautiful.

  • @RedstoneManaga
    @RedstoneManaga 4 роки тому +1

    Can you come and teach year 12 advanced maths at my school at the start of term 4 because your 12 class will be doing the HSC. I beg?!

  • @homonovus2284
    @homonovus2284 4 роки тому

    Determine all pairs (a,b) of +ve integers, such that ab2+b+7 completely divides a2b+a+b. Here a2 means a squared.
    My teacher doesn't seem to get it, any ideas anyone? I know this isn't integration but please help..it's from INMO

  • @hamzabouzid7508
    @hamzabouzid7508 4 роки тому

    Am, professor what about the integration by part
    We can find the primitive of lnx by use this method 🤔

    • @joseluz11
      @joseluz11 4 роки тому +2

      Yes, and it will be more easier, but knowing how to do it by his way would help for more complicated problems

  • @harryparker4780
    @harryparker4780 3 роки тому

    Does xlogx - x do not really obey

  • @haftyguy
    @haftyguy 4 роки тому

    Mr. Eddie, which technology are you using for digital writing?

    • @danmohamed7982
      @danmohamed7982 4 роки тому

      haftyguy He’s using Notability on an iPad 😀

  • @rokerector99
    @rokerector99 4 роки тому

    Buen ejemplo

  • @Iamanandraj
    @Iamanandraj 4 роки тому

    Which software you are using to digital whiteboard

    • @danmohamed7982
      @danmohamed7982 4 роки тому

      anandupes He’s using Notability on an iPad 🙂

  • @saugatgurung5859
    @saugatgurung5859 4 роки тому

    Area is 1.27

  • @HarishKumar-so9ty
    @HarishKumar-so9ty 4 роки тому +1

    👍👍👍👍👍👍👍❤❤

  • @masonfung2987
    @masonfung2987 3 роки тому

    using integration by parts gives u the same answer

  • @harold30404
    @harold30404 4 роки тому +2

    I'm studying linguistics why do I even see these vids xD

  • @الأستاذابراهيمالتعمري

    what the kind of tablet and program that you ues

    • @misterwootube
      @misterwootube  4 роки тому

      I'm using an iPad with the app Notability - you can see more details on how I created the video here: ua-cam.com/video/5H9HzWboGp4/v-deo.html, and also here: ua-cam.com/video/PkFR9QOKrrM/v-deo.html

    • @الأستاذابراهيمالتعمري
      @الأستاذابراهيمالتعمري 4 роки тому

      thank you

  • @msieee
    @msieee 4 роки тому

    Please some one tell me the App he is using to write. TIA

    • @qwerty309
      @qwerty309 4 роки тому

      Notability on apps store

  • @mrkitty777
    @mrkitty777 4 роки тому

    Why not primitive of ln x is x ln ( x ) - x

    • @ditaisyiyah
      @ditaisyiyah 4 роки тому

      i think, because more efficient when you just differentiate it

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

      It is, but this is only taught in the mathematics extension 2 course. This is the mathematics advanced course.

  • @BSnicks
    @BSnicks 2 роки тому

    I learnt in high school that the integral of lnx = xlnx-x

  • @ksubscribersWithoutanyvi-tu9kd
    @ksubscribersWithoutanyvi-tu9kd 4 роки тому

    Hello Eddie woooooo

  • @phantrash406
    @phantrash406 4 роки тому

    Who is Eddy woo

  • @phantrash406
    @phantrash406 4 роки тому

    Who is Eddy wool

  • @saugatgurung5859
    @saugatgurung5859 4 роки тому

    I think its a mistake ..

  • @orrehorre2741
    @orrehorre2741 2 роки тому

    how are you so based

  • @elmzoughi6487
    @elmzoughi6487 4 роки тому

    Grrr it's [xln(x)-x]1→3 and then (3*ln(3)/2 )- [xln(x)-x]1→3 ez xD

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

      Again, this is derived in extension 2 mathematics rather than mathematics advanced.
      you may find it easy but not these students who just are starting calculus. Not everyone finds maths easy.

  • @mdamine4133
    @mdamine4133 4 роки тому +1

    X.ln(x) _ x

    • @mrkitty777
      @mrkitty777 4 роки тому

      x ln ( x ) - x why not indeed.

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

      at 1:36 he explains why these students SHOULD NOT know that formula.
      it comes from integration by parts which is only taught in mathematics extension 2.