FEYNMAN IS MY GOAT! Integral of sin(x)/x from 0 to infinity

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  • Опубликовано: 8 фев 2025
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Комментарии • 12

  • @cameronspalding9792
    @cameronspalding9792 4 месяца назад +1

    One problem I have with this method is that f(alpha) is well defined (in the Lebesgue sense) when the real part of alpha is strictly greater than zero: setting alpha to zero feels a bit like cheating

  • @cameronspalding9792
    @cameronspalding9792 4 месяца назад

    @ 4:00 Personally I would have just used the exponential expression for sin(x), this would make your integral expression a sim of exponential terms which are fairly easy to integrate

  • @steffssnapshots
    @steffssnapshots 5 месяцев назад

    Love this!!

  • @danortega739
    @danortega739 5 месяцев назад

    Heck yeah

  • @Qweur2
    @Qweur2 Месяц назад

    Do you have any double integrals in your integral book?

  • @MrBinaj
    @MrBinaj 3 месяца назад +1

    But why you introduced - to e^ax?

  • @Gust52
    @Gust52 5 месяцев назад +3

    This method is NOT called "Feynman Integration" , IT'S CALLED *Leibniz Integral Rule* .
    GOTTFRIED LEIBNIZ *DISCOVERED* THE RULE,
    Feynman POPULARISED IT.
    THIS IS Leibniz's technique, NOT FEYNMAN'S.
    GIVE THE CREDIT TO THE RIGHT PERSON FOR GOODNESS SAKE 😡😡

    • @mathscribbles
      @mathscribbles  5 месяцев назад +9

      Gottfried should have popularized it but was too busy writing love letters to Newton

    • @kthegreat69420
      @kthegreat69420 5 месяцев назад +4

      why are you so mad was leibniz your grandpa or smth?

    • @Gust52
      @Gust52 5 месяцев назад +1

      ​​@@kthegreat69420Literally EVERY MATH RUclipsR is saying that this is called *Feynman's technique* which means they're all giving credit to Feynman. Who gives the credit to someone who didn't discover it??? Leibniz discovered the rule and everyone should give credit to him. But no one does. Enough is enough of giving someone the spotlight who didn't discover the thing!!!

    • @kthegreat69420
      @kthegreat69420 5 месяцев назад

      @@Gust52 username checks out

    • @Gust52
      @Gust52 5 месяцев назад +1

      @@mathscribbles Leibniz & Feynman lived in 2 very different centuries. Leibniz lived in a time when not even the telephone was evented, forget the TV, but Feynman had these digital resources and many more which were only a dream in Leibniz's time. So no wonder Feynman was able to popularise this but not Leibniz.