# Math Help - Minimizing a double integral

1. ## Minimizing a double integral

What region r in the xy plane minimizes the value of $\int\int_{R}$ $(x^{2}+y^{2}-9)dA$ ? What are the reasons?

2. Originally Posted by antman
What region r in the xy plane minimizes the value of $\int\int_{R}$ $(x^{2}+y^{2}-9)dA$ ? What are the reasons?
What kind of graph do you think of when you see x^2+y^2-9?

You should be reminded of a circle, of radius 3. You should also think about converting to polar coordinates.

3. I recognize the equation of a circle but am unsure of how to answer it. Would R be the set of points (x,y) such that x^{2}+y^{2} is greater than 9?