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I need some advice to how I would begin my integration for the following problem (as in, I do not understand the region of integration): If we have a joint pdf, say $f(x,y)=4e^{-2x-2y}$ for $x,y>0$ and $A=\min(X,Y)$, how do we find $P(A>a)$ for $a>0$? My idea is to integrate $\int_w^x\int_w^y f(x,y) \, dy \, dx$. But this does not make sense because the bounds need to be restricted to a. Any suggestions?

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