Complex Analysis: trigonometric and inverse trigonometric functions

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  • Опубликовано: 30 янв 2025

Комментарии • 18

  • @maths_505
    @maths_505  Год назад +2

    ERROR CORRECTION: at the 8:35 mark, that should be sqrt(1-w^2).

  • @041-tutulmalakar7
    @041-tutulmalakar7 Год назад +4

    Integrate x^3exp(-2x)sinx from 0 to infinity using differentiation under integral sign . I find this problem in Advance calculus explore book's gamma function chapter

    • @maths_505
      @maths_505  Год назад

      Write sin(x) as the imaginary part of e^(ix) and then use either the Laplace transform or the melin transform.

  • @thewolverine7516
    @thewolverine7516 Год назад +1

    Watching your videos after a long time(Exams occupied me), and as usual the video was a banger.

  • @raeddalalaa92
    @raeddalalaa92 Год назад

    I've seen the beginning before on blackpenredpen. but the mapping of the arcsin is impressive. I learn alot from your videos but cant understand everything cuz I'm a mechanical engineer preparing my masters thesis.
    thank you very much 😊

  • @bandishrupnath3721
    @bandishrupnath3721 Год назад +1

    I just finished calc1 , yes im the most junior here but i still try to understand ur videos with my limited knowledge, (i luv calc)
    Thank you for making such nice videos❤. If possible Sir could u make a video on Feynmans technique for beginners, like how does it work even .

    • @Daniel-yc2ur
      @Daniel-yc2ur Год назад +1

      He has a whole playlist of using the Feynman technique I would recommend checking out, you’ll pick it up fast as it’s a pretty straightforward concept. If you’re good with calculus it will feel super 👌

    • @milianxhighlights
      @milianxhighlights Год назад +1

      You ain't junior bro , i'm here with you

  • @peterandriszak8777
    @peterandriszak8777 Год назад

    Why phi?? You’d use theta or x as the variable usually, otherwise good, cool video as usual.

    • @maths_505
      @maths_505  Год назад +1

      I just like phi more

    • @Grecks75
      @Grecks75 5 месяцев назад

      @@maths_505 In German math texts we also tend to prefer phi as the argument variable of the trigonometric functions, for no particular reason. alpha is also very common. 😃

  • @aniritri8635
    @aniritri8635 Год назад

    Can you do ln(x) = x ?

    • @maths_505
      @maths_505  Год назад

      No solution.

    • @aniritri8635
      @aniritri8635 Год назад +1

      @@maths_505 even in the complex plane ?

    • @Daniel-yc2ur
      @Daniel-yc2ur Год назад

      ⁠@@aniritri8635 no if you look at the graph y = x and y = ln(x) there is no intersection. Similarly, in the complex plane, if you look at the domain colour map for w = z and w = ln(z) there is no common areas of colour

    • @aniritri8635
      @aniritri8635 Год назад +1

      @@Daniel-yc2ur i see, i only started learning about complex number a few days ago, heard that they can solve any equation so decided to ask. Thanks for the info will check what those terms mean

  • @noicemaster5173
    @noicemaster5173 Год назад

    Damn second😊