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: Help with double integral and switching the order of the differentials

  1. Nov 19, 2011 #1
    1. The problem statement, all variables and given/known data
    1 1/2
    ∫ ∫ e-x2 dx dy
    0 y/2

    2. Relevant equations

    ***Graph equation***

    3. The attempt at a solution
    I graphed the function and they made a horizontal strip. However, I can't seem to find the right function with a vertical strip, which is where I'm stuck.
  2. jcsd
  3. Nov 19, 2011 #2


    User Avatar
    Science Advisor
    Homework Helper

    The domain of integration is a triangle. Can you describe it?
    Last edited: Nov 20, 2011
  4. Nov 20, 2011 #3


    User Avatar
    Science Advisor

    It might be easier to see if you write the integral
    [tex]\int_{y=0}^{y=1}\int_{x= y/2}^{x= 1/2} e^{-x^2}dx dy[/tex]

    Draw the graphs corresponding to the limits of integration.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook