How to integrate ln(x)? It might not be as easy as you might think...

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  • Опубликовано: 5 ноя 2024

Комментарии • 4

  • @nchoosekmath
    @nchoosekmath  5 лет назад +1

    Other ways to integrate ln?

    • @chirayu_jain
      @chirayu_jain 5 лет назад +1

      Take x = u + 1
      Then use the Maclaurin series
      BTW, if possible please subscribe to my channel , I also make math videos

    • @aashsyed1277
      @aashsyed1277 3 года назад

      @@chirayu_jain another way is to differentiate x*ln(x) then you Get 1+ln(x) so (d/dx)(x*ln(x))=1+ln(x)
      Now integrating both sides,
      X*ln(x)=integral ln(x) +x+c.
      Substraction x on both sides, now -c is just another constant, so we get,
      Integral ln(x) =x*ln(x)-x+c.

    • @aashsyed1277
      @aashsyed1277 3 года назад

      @@chirayu_jain not Maclaurin, it needs to be centered at a interval so we can't always use it.