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!

Reversing Integration

  1. Apr 1, 2009 #1
    1. The problem statement, all variables and given/known data

    Evaluate the integral by reversing the order of integration.

    2. Relevant equations

    [tex]\int_0^3\int_{y^2}^9 y \cos{x^2} dxdy[/tex]

    3. The attempt at a solution

    I want to make sure I'm right so far before going on. I have the reversed limits as:
    [tex] \sqrt{x} <= y <= 3[/tex]
    [tex] 0 <= x <= 9[/tex]

    Is this right?
     
  2. jcsd
  3. Apr 2, 2009 #2

    lanedance

    User Avatar
    Homework Helper

    i would try drawing the area, could be wrong, but i think it looks more like:
    [tex] 0 <= y <= \sqrt{x}[/tex]
    [tex] 0 <= x <= 9[/tex]
     
  4. Apr 2, 2009 #3

    lanedance

    User Avatar
    Homework Helper

    you could also try both integrals to check you get the same area, though i suppose thats why you;re reversing the order in the first place
     
  5. Apr 2, 2009 #4
    Thanks!
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Reversing Integration
  1. Reversing integration (Replies: 4)

Loading...