# Calculus III Find the area

1. Dec 9, 2008

### shinobi12

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. Dec 9, 2008

### 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.

3. Dec 9, 2008

### Defennder

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