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For very general scalar-field theories in which the equations of motion areat second-order, we evaluate the three-point correlation function of primordialscalar perturbations generated during inflation. We show that the shape ofnon-Gaussianities is well approximated by the equilateral type. The equilateralnon-linear parameter f_NL^equil is derived on the quasi de Sitter backgroundwhere the slow-variation parameters are much smaller than unity. We apply ourformula for f_NL^equil to a number of single-field models of inflation--such ask-inflation, k-inflation with Galileon terms, potential-driven Galileoninflation, nonminimal coupling models (including field-derivative couplingmodels), and Gauss-Bonnet gravity.

Inflationary non-Gaussianities in the most general second-order scalar-tensor theories