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

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- Jun 2nd 2010, 01:54 AMmerceldifficult 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 - Jun 2nd 2010, 02:03 AMbigli
please write your question better.

- Jun 2nd 2010, 02:05 AMHallsofIvy
Do you mean

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

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.