Integral from 0 to Infinity of arctan^2 (1/x) dx

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  • Опубликовано: 9 сен 2024

Комментарии • 7

  • @davidblauyoutube
    @davidblauyoutube 28 дней назад +1

    I let x = cot(y) and integrated by parts twice.

  • @holyshit922
    @holyshit922 Месяц назад

    From where you have integrals to calculate ?
    I have one
    \int_{\theta}^{\pi}{\frac{\sin{\left(\left(n+\frac{1}{2}
    ight)t
    ight)}}{\sqrt{2\left(\cos{\left(\theta
    ight)} - \cos{\left(\t
    ight)}
    ight)}}dt}
    Hint using trigonometric identities and integration by parts derive recurrence relation
    and dont forget base cases for recurrence

    • @mathemagicalpi
      @mathemagicalpi  Месяц назад

      Some Integrals I make up or are inspired by other integrals, some are integrals previous people on RUclips have done but I try to use a different approach if possible.

  • @maxvangulik1988
    @maxvangulik1988 Месяц назад

    6:05 Isn't arctan(cot(@)) just pi/2-@?

  • @V.Ranjan____
    @V.Ranjan____ Месяц назад

    didn't understood 82% of the video, still here to increase the no of comments. Thank Me later

    • @mathemagicalpi
      @mathemagicalpi  Месяц назад

      Would you say I'm going a bit too fast in the explanation?

    • @V.Ranjan____
      @V.Ranjan____ Месяц назад

      @@mathemagicalpi no not at all, relax i am in the high school i don't know anything about what was going in the video but it was fun to watch.....