Average Value of a Continuous Function on an Interval

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  • Опубликовано: 23 дек 2024

Комментарии • 27

  • @Festus2022
    @Festus2022 3 года назад +21

    Sorry Trevor. At 1:25, if you add up the areas of the rectangles, you DON'T get the average, you get TOTAL AREA....i.e. 25 NOT the average which is 5. You also lost me somewhere inn the Sigma...Not your best video.

    • @DrTrefor
      @DrTrefor  3 года назад +9

      Good point, totally forgot the divided by 5 there. It comes back properly later, but yes it’s always area over number of segments.

    • @aashsyed1277
      @aashsyed1277 3 года назад

      @@DrTrefor a

    • @bot9492
      @bot9492 3 года назад

      Kevin Monroe thanks

    • @aashsyed1277
      @aashsyed1277 3 года назад

      @@DrTrefor y

  • @katetotter4795
    @katetotter4795 3 года назад +2

    I have adhd and need to understand things conceptually and this was amazing you saved my calc 2 at uc merced midterm tomorrow

  • @Anonymous-cw4yd
    @Anonymous-cw4yd 4 года назад +4

    Holly ! You gave an amazing intuition about averaging a function.

  • @johnholme783
    @johnholme783 6 лет назад

    Thanks for taking the time to explain the connection between discrete and continuous averages. Now I have a good intuitive understanding of the connection between these two types of averages.

  • @pratyushpanda8131
    @pratyushpanda8131 2 года назад +1

    Never thought it like this way though.. it's beyond amazing Sir

  • @garvitkohli8598
    @garvitkohli8598 3 года назад +1

    5:16 yup that made it so clear. I LOVE YOU

  • @Omar-mn1eb
    @Omar-mn1eb 2 года назад +1

    Great video! It really helps give you an intuitive understanding of this stuff!

  • @Pensive_117
    @Pensive_117 2 года назад +1

    Well-explained! Thank you

  • @duckymomo7935
    @duckymomo7935 6 лет назад +2

    Wow, this was clear and good presentation.
    I did not connect avg value = integral, that’s not intuitive.

  • @nabinshrestha7834
    @nabinshrestha7834 4 года назад +1

    Please do course on numerical method

  • @ekalavyain1131
    @ekalavyain1131 4 года назад +1

    Sir can you do some mathematical physics course.

  • @luisalcaraz9090
    @luisalcaraz9090 2 года назад

    Love this video. You are awesome!

  • @chaliboundnatur
    @chaliboundnatur 4 года назад +1

    Many thanks.
    That helps a lot

  • @mohamedirshaathm32123
    @mohamedirshaathm32123 Год назад

    really the best;😇 underated

  • @Leo-zp9li
    @Leo-zp9li 2 года назад

    What about for all positive values of x (0 to pos-infinity)?

    • @DrTrefor
      @DrTrefor  2 года назад

      Could totally do that if the integral converged

    • @Leo-zp9li
      @Leo-zp9li 2 года назад

      @@DrTrefor I meant the function for that, took me ages to find on the web for some reason - fine now though.

  • @yousefmohammed1794
    @yousefmohammed1794 Год назад

    🔥🔥🔥🔥

  • @김동완-j8j
    @김동완-j8j 2 года назад

    Wow