# area integral on a circle

• Jan 1st 2012, 09:10 AM
kotsos
area integral on a circle
any help for this ...

Given the function f : $\displaystyle f(x,y)=(4-x^2)^{-y^2/2}$

which is on a circle area $\displaystyle D={x^2+y^2\leq 4}$

with center (0,0) and radius of 2.

compute $\displaystyle \int \int_{D}^{.}f(x,y)$
• Jan 1st 2012, 11:01 AM
HallsofIvy
Re: area integral on a circle
What kind of help do you want? Do you know how to integrate at all? Integrating over a disc is a fairly standard problem in Calculus. Do you have any idea how to find the limits of integration in xy coordinates? What about polar coordinates?
• Jan 1st 2012, 11:32 AM
kotsos
Re: area integral on a circle
yes i would like the solution please.
• Jan 1st 2012, 11:57 AM
kotsos
Re: area integral on a circle
any help ?????????
• Jan 1st 2012, 05:39 PM
Prove It
Re: area integral on a circle
Quote:

Originally Posted by kotsos
yes i would like the solution please.

You won't get the solution here. You can get hints, but you are expected to do your OWN work!

As was suggested, try converting everything to polars.