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Parabolic Cylinder line integral

  1. Apr 26, 2008 #1
    1.The problem statement, all variables and given/known data

    (Parabolic Cylinder) find the area of the surface extending upward form x^2 + y^2 =1 to z = 1 - x^2 using line integral


    Could some one please outline the method to solving this. I tryed using spherical corridinates but am unsure if this was correcect

    3. The attempt at a solution
    Last edited: Apr 26, 2008
  2. jcsd
  3. Apr 26, 2008 #2


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    Surely, since this is a cylinder, cylindrical coordinates would be better? That is, use polar coordinates for two coordinates, z for the third. [itex]x= r cos(\theta)[/itex], [itex]y= r sin(\theta)[/itex] so you will be integrating [itex]z= 1- x^2= 1- r^2 cos^2(\theta)[/itex] over the unit circle.
  4. Apr 26, 2008 #3
    ty that helped alot
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