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Calculus III Find the area

  1. Dec 9, 2008 #1
    1. The problem statement, all variables and given/known data

    Find the area of the ellipse (x^2)/4 + (y^2)/9 = 1

    2. Relevant equations

    (1/2) * Integral of xdy - ydx = area of a Region

    3. The attempt at a solution

    The problem is weird to me because its complicated to attempt it in rectangular or polar coordinates)
  2. jcsd
  3. Dec 9, 2008 #2


    Staff: Mentor

    How is the equation you give in #2 relevant to this problem? It's possible that it is, but if so, you'll need to refresh my memory as to why that's so. Also, you'll need a definite integral, with limits of integration.

    The way I would approach this problem is to solve for y (the positive solution) and integrate from x = 0 to x = 2. That number would be 1/4 of the area inside the ellipse.
  4. Dec 9, 2008 #3


    User Avatar
    Homework Helper

    Well since the title of the thread is calc 3, I guess this means you have learnt about double integrals already. Evaluate [tex]\iint dA[/tex] for that region to get the area.
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