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Change of variables for double integrals

  1. Dec 2, 2008 #1
    1. The problem statement, all variables and given/known data
    Use a suitable change of variable to find the area of the region R bounded by [tex] y=x^2, y=4x^2, y=\sqrt{x}, y=\frac{1}{2}\sqrt{x}[/tex]


    2. The attempt at a solution
    I am trying to first find the inverse transformations {u & v =?
     
  2. jcsd
  3. Dec 2, 2008 #2

    HallsofIvy

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    The obvious thing to do would be to set y= ux2 and y= v[itex]\sqrt{x}[/itex]= vx1/2. That way, R is bounded by u= 1, u= 4, v= 1 and v= 1/2. u= y/x2 and v= yx-1/2.
     
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