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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


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    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


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    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
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