Calculus III Find the area

  • Thread starter shinobi12
  • Start date
  • #1
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Homework Statement



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

Homework Equations



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


The Attempt at a Solution



The problem is weird to me because its complicated to attempt it in rectangular or polar coordinates)
 

Answers and Replies

  • #2
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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.
 
  • #3
Defennder
Homework Helper
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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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