  In this paper we calculate kinetic, potential and full energy with three- and
four-particle direct correlations taken into account at wide temperature region
on the base of the density matrix of the interacting Bose-particles [I. O.
Vakarchuk, O. I. Hryhorchak, Journ. Phys. Stud. {\bf 3}, 3005 (2009)]. In the
low temperature limit the obtained expression for the full energy is equal to
the wellknown expression for ground state energy in the approximation of "two
sums over the wave vector." The results of this work can be applied for the
numeric calculation of the heat capacity of liquid $^4$He in order to check the
theoretical and experimental results quantatively, especially in the
$\lambda$-transition region.
