1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Is it true ?

  1. Mar 11, 2006 #1
    Is the integral (in the interval x=0, x=1) of 1/ (x^x) dx = 1+(1/(2^2)) + (1/ 3^3))+(1/(4^4) ).... ?

    If it is, how would one go about proving it...?
  2. jcsd
  3. Mar 11, 2006 #2
    It is true.

    The jist of the proof isto start by rewriting 1/(x^x) in terms of exponentionals, then rewriting that using the McLuarin series for e^x, then integrating term by term using parts.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Is it true ?
  1. Is it true (Replies: 9)

  2. Is this statmenet true (Replies: 11)

  3. True or not? (Replies: 0)

  4. Is that true ? (Replies: 5)