  In this paper we compute certain two-point integrals over a moduli space of
stable maps into projective space. Computation of one-point analogues of these
integrals constitutes a proof of mirror symmetry for genus-zero one-point
Gromov-Witten invariants of projective hypersurfaces. The integrals computed in
this paper constitute a significant portion in the proof of mirror symmetry for
genus-one GW-invariants completed in a separate paper. These integrals also
provide explicit mirror formulas for genus-zero two-point GW-invariants of
projective hypersurfaces. The approach described in this paper leads to a
reconstruction algorithm for all genus-zero GW-invariants of projective
hypersurfaces.
