How to solve the following integral (in Maple notation):

Int(Int((exp(-(u^2+v^2-2*rho*u*v)))/((1+exp(-(u^2+v^2-2*rho*u*v)))^2),u),v);

I am aware that this integral can be written as:

Int((exp(-z))/((1+exp(-z))^2),z);

with z = u^2+v^2-2*rho*u*v

I am especially interested in the following cases:

Int(Int((exp(-(u^2+v^2-2*rho*u*v)))/((1+exp(-(u^2+v^2-2*rho*u*v)))^2),u=-infinity..x),v=-infinity..y);

Int(Int(u*v*(exp(-(u^2+v^2-2*rho*u*v)))/((1+exp(-(u^2+v^2-2*rho*u*v)))^2),u=-infinity..infinity),v=-infinity..infinity);

Thanks a lot for any help.