I couldn't decide which Integration Bee I was working on!

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  • čas přidán 7. 07. 2024
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Komentáře • 16

  • @waarschijn
    @waarschijn Před 22 dny +9

    Nice but I'd just use the series for ln(1-x), no u sub necessary.

    • @owl3math
      @owl3math  Před 22 dny +1

      I think that was the other method but I don’t remember for sure

    • @waarschijn
      @waarschijn Před 22 dny

      @@owl3math Oh sorry forgot about that 😝

  • @theupson
    @theupson Před 22 dny +3

    the obvious approach, integration by parts, fails in a most delightful way

    • @owl3math
      @owl3math  Před 22 dny

      Ha! Yes I can imagine that would be trouble

  • @GangulaArjunNarenReddy
    @GangulaArjunNarenReddy Před 20 dny +1

    Awesome content

  • @Chris_387
    @Chris_387 Před 22 dny +1

    Awesome substitution! Can I suggest an integral for future video? It is very difficult though

    • @owl3math
      @owl3math  Před 22 dny +1

      Hi Chris. And thanks! I usually don't do suggestions but I will always take a look.

    • @Chris_387
      @Chris_387 Před 22 dny +1

      @@owl3math it's the integral of ln²(1-x)ln²(1+x) from 0 to 1

    • @owl3math
      @owl3math  Před 22 dny

      I don’t think I know how to do it

  • @pantelostzimas7490
    @pantelostzimas7490 Před 22 dny +1

    Why?!?!? After the u dub -1/xdx=du so u are done its the integral of -u

    • @owl3math
      @owl3math  Před 22 dny

      At what time in the video? Du = -1/(1-x)

  • @suryamgangwal8315
    @suryamgangwal8315 Před 22 dny +1

    How come it has a negative answer?

    • @owl3math
      @owl3math  Před 22 dny

      Hi. ln(1-x) is always negative between 0 and 1 making the whole thing negative within the bounds.

  • @MackEven
    @MackEven Před 22 dny +1

    I have better way