# difficult integral

• June 2nd 2010, 02:54 AM
mercel
difficult integral
hello everyone
i need held with this integral:

double integral with respect to x and y of:
exponent minus (ax) squared minus (by) squared
all divided by c squared plus x squared plus y squared.

where a,b,c are constants
• June 2nd 2010, 03:03 AM
bigli
• June 2nd 2010, 03:05 AM
HallsofIvy
Quote:

Originally Posted by mercel
hello everyone
i need held with this integral:

double integral with respect to x and y of:
exponent minus (ax) squared minus (by) squared
all divided by c squared plus x squared plus y squared.

where a,b,c are constants

Do you mean
$\int\int \frac{e^{-(ax)^2- (by)^2}}{c^2+ x^2+ y^2} dy dx$?

That cannot be done in terms of elementary functions although if this were a definite integral with x and y both ranging from 0 to infinity, then could do it by changing to polar coordinates.