1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Improper integrals

  1. Mar 16, 2014 #1
    1. The problem statement, all variables and given/known data

    [itex]\int_{-\infty}^{+\infty} e^{-\left|x\right|} \,dx[/itex]

    3. The attempt at a solution
    So I know you are supposed to split this integral up into two different ones, from (b to 0) and (0 to a) where b is approaching - infinity, and a is approaching +infinity, but how would I take that antiderivative? Since the absolute value has a piecewise derivative.
  2. jcsd
  3. Mar 17, 2014 #2
    Hi Panphobia!

    Do you see you can write it as ##\int_{-\infty}^0 e^x\,dx +\int_0^{\infty} e^{-x}\,dx##?
  4. Mar 17, 2014 #3
    I totally missed that, but yea I see it now, thanks!
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted