Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Could anybody find an INTEGRAL?

  1. Nov 12, 2007 #1
    I've got a difficult integral, that is, [tex] \int_{-\infty}^{\infty} e^{\lambda x^{2}} dx [/tex]. Could anybody find its solution?
  2. jcsd
  3. Nov 12, 2007 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Last edited by a moderator: Apr 23, 2017
  4. Nov 12, 2007 #3


    User Avatar
    Science Advisor

    Since, for [itex]\lambda> 0[/itex], that is not bounded as x goes to infinity, and, if [itex]\lambda= 0[/itex], that is just [itex]\int_{-\infty}^{\infty} dx[/itex], neither of those exists.

    If, however, [itex]\lambda[/itex] is negative, It is well known that the integral is
    [itex]\sqrt{\pi/|\lambda |}[/itex].
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook