  The simple method outlined in our earlier paper [B.Padhy, Orissa Journal of
Physics, vol.19, No.1, p.1, February 2012] has been utilized here for analytic
evaluation of three different five-electron atomic integrals with integrands
involving products of s Slater-type orbitals and exponentially correlated
functions of the form $r_{ij} exp(-\lambda_{ij} r_{ij})$. Only products of
those $r_{ij}$'s which do not form a closed loop by themselves, are considered.
