This integral is actually one of your favorite constants

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  • Опубликовано: 23 дек 2024

Комментарии •

  • @worldnotworld
    @worldnotworld 5 дней назад +28

    I just _love_ invoking the linearity of the integration operator

  • @CM63_France
    @CM63_France 3 дня назад +3

    Hi,
    "terribly sorry about that" : 0:46 , 3:07 , 7:16 , 8:02 ,
    "ok, cool" : 0:55 , 2:49 , 4:41 , 6:22 , 7:07 , 8:23 .

  • @nerpynerpston2597
    @nerpynerpston2597 5 дней назад +9

    From 2:00 to 2:51 the limits on the theta^2 term should be 0 to π/2. Great video!

  • @michaelihill3745
    @michaelihill3745 5 дней назад +5

    That solution was AWESOME! Especially the last part leading to 7/8 zeta(3).

  • @AliAujla-t2f
    @AliAujla-t2f 2 дня назад

    Hey Kamal! What is meant by "Linearity of the Integration Operator".

  • @MrWael1970
    @MrWael1970 2 дня назад

    This is gorgeous. Thanks.

  • @giuseppemalaguti435
    @giuseppemalaguti435 4 дня назад +1

    Immagino che la prima cosa da fare sia arccosx=π/2-arcsinx...la prima parte sembra semplice,la seconda forse più complicata...ho fatto i calcoli I=I1-I2=(π^2/4)ln2-((π^2/4)ln2-(7/8)ξ(3))=(7/8)ξ(3)

  • @cdkw2
    @cdkw2 5 дней назад +3

    I am begining to enjoy ITF

  • @abdulllllahhh
    @abdulllllahhh 4 дня назад +1

    I saw the solution and recognized another integral I did a while back which evaluates to the same answer, ∫ 0^inf (arctanxlogx)/(1+x²) dx

  • @ebw000
    @ebw000 5 дней назад +2

    Can you do an integral involving the lemniscate constant?

    • @maths_505
      @maths_505  5 дней назад +4

      ruclips.net/video/nUt9jQNtJ0w/видео.htmlsi=fGjNz7DtyerWUc77

    • @ebw000
      @ebw000 5 дней назад +2

      @ guess I haven’t been a fan long enough😅 thank you

  • @slavinojunepri7648
    @slavinojunepri7648 5 дней назад

    Great work

  • @SkEi-y3b
    @SkEi-y3b 5 дней назад +2

    Migovanin means Assalamu alaycon in Japanese right?

    • @maths_505
      @maths_505  5 дней назад +2

      @@SkEi-y3b mae govannen
      It's the standard way to greet people in the sindarin tongue

    • @SkEi-y3b
      @SkEi-y3b 5 дней назад

      @maths_505 I guess your channel doesn't just teach us math ♥️♥️

  • @lordthiccusiii
    @lordthiccusiii 5 дней назад +1

    Very nice friend

  • @prasoon7916
    @prasoon7916 4 дня назад

    wow

  • @sinekavi
    @sinekavi 5 дней назад +1

    YO!

  • @bryanmoralesprado8143
    @bryanmoralesprado8143 4 дня назад

    El doblaje automático es una shit