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!

Double Integral

  1. Dec 5, 2008 #1
    1. The problem statement, all variables and given/known data

    The equation is [tex]\int^{t}_{0}[/tex]e[tex]^{-t'\gamma}[/tex][tex]\int^{t}_{0}[/tex]e[tex]^{t''\gamma}[/tex]f(t'')dt''dt'. f(t) is a random function with no known anti-derivative. I need to simplify this into a single integral of one variable.

    2. Relevant equations

    3. The attempt at a solution
    I moved the first exponential function inside the second integral but none of the regular properties of double integrals seem to work here. Does anyone have any ideas?
  2. jcsd
  3. Dec 5, 2008 #2


    User Avatar
    Science Advisor

    As written you have simply the product of two integrals,

    [tex]\left[\int^{t}_{0}e^{t'\gamma}dt' \right]
    \left[ \int^{t}_{0}e^{t''\gamma}f(t'')dt''\right][/tex]

    and the first one is simple.
  4. Dec 6, 2008 #3
    No, It's not a typo. I had no idea that that could be done. Thank you this makes this a lot easier.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Double Integral
  1. Double integration (Replies: 1)

  2. Double integral (Replies: 2)

  3. Double integration (Replies: 11)