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Volume using double integral (polar coordiantes)

  1. Nov 10, 2012 #1
    1. The problem statement, all variables and given/known data
    use a double integral to find the volume of the solid bounded by.

    z=x^2+2y^2 and z=12-2x^2-y^2

    I want to change variables using polar coordinates, I know its the top minus the bottom, and the intersection between the two is a circle radius 2.

    3. The attempt at a solution

    I want to make sure i have the correct set up

    [itex]\int^{2\pi}_{0}[/itex] [itex]\int^{2}_{0}[/itex] (12-3r[itex]^{2}[/itex])rdrd[itex]\theta[/itex]
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Nov 10, 2012 #2

    SammyS

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    That looks good !
     
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