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I am doing research, and while calculating a closed form expression, I got a form of integration like the following:

$$\int_{z=u}^{+\infty}\int_{t=u}^{+\infty}\frac{e^{-Az}}{z+B}\frac{te^{-tD}}{t-zC}dtdz$$ where $A$, $B$, $C$, $D$ and $u$ are positive reals.

I don't know if there is way to get the closed form of it or we have to rely on some approximations.

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