  We will describe how logarithmic singularities arise as limits of Coulomb Gas
integrals. Our approach will combine analytic properties of the time-like
Liouville structure constants, together with the recursive formula of the
Virasoro conformal blocks. Although the Coulomb Gas formalism forces a diagonal
coupling between the chiral and antichiral sectors of the Conformal Field
Theory (CFT), we present new results for the multi-screening integrals which
are potentially interesting for applications to critical statistical systems
described by Logarithmic CFTs. In particular our findings extend and complement
previous results, derived with Coulomb Gas methods, at $c=0$ and $c=-2$.
