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First we establish some generic universalities for Pad\'{e} approximants inthe closure $X^\infty(\OO)$ in $A^\infty(\OO)$ of all rational functions withpoles off $\oO$, the closure taken in $\C$ of the domain $\OO\subset\C$.\ Nextwe give sufficient conditions on $\OO$ so that $X^\infty(\OO)=A^\infty(\OO)$.\Some of these conditions imply that, even if the boundary $\partial\OO$ of aJordan domain $\OO$ has infinite length, the integration operator on $\OO$preserves $H^\infty(\OO)$ and $A(\OO)$ as well.\ We also give an example of aJordan domain $\OO$ and a function $f\in A(\OO)$, such that its antiderivativeis not bounded on $\OO$.\ Finally we restate these results for Volterraoperators on the open unit disc $D$ and we complete them by some genericresults.

Pad\'{e} Approximants, density of rational functions in $\bbb{A^\infty(\OO)}$ and smoothness of the integration operator