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 $\displaystyle \int \int_{D}^{.}f(x,y)$
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 $\displaystyle \int \int_{D}^{.}f(x,y)$
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?