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Math Help - difficult integral

  1. #1
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    Bafoussam - Cameroon
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    Unhappy 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
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  2. #2
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    please write your question better.
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  3. #3
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    Quote Originally Posted by mercel View Post
    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.
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