What is the inverse of the *divergence* operator? The inverse of derivation is integral.
But what is the inverse of the divergence operator ? Doest it exist ?

For example, the charge density is proportional to the divergence of the electric field (Gauss's Law):
$$\frac{\rho}{\varepsilon_0} = \nabla \cdot \mathbf{E}$$
The inverse is Coulomb's Law (for continuous charge distributions): 
$$\boldsymbol{E}(\boldsymbol{r}) = {1\over 4\pi\varepsilon_0}\int \rho(\boldsymbol{r'}) {\boldsymbol{r} - \boldsymbol{r'} \over |\boldsymbol{r} - \boldsymbol{r'}|^3} d^3r'$$
Wikipedia
