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Solving partial moment with unknowns in boundaries

I wish to express in a more compact form the following double integral:
int_0^infty int_q^infty y(x-q)f(x,y)dxdy

where f(x,y) is the pdf of a bivariate with dependent marginal distribution
functions (meaning that 0<rho<1).
No assumptions are made as to the behavior of the function f except the
usual for a probability density function.
q is a parameter which is a strictly positive real.

There is probably a good book on such cases but have been unable to identify
it at the university libraries.
Thank you.
PhD student
Université Catholique de Louvain

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