Simple but exact integral formulations are presented for the velocity and temperature distributions and for the friction factor and Nusselt number in fully developed turbulent flow and convection between parallel plates in terms of the dimensionless local turbulent shear stress and heat flux density. Essentially exact values for these quantities have been obtained by evaluating the integrals numerically for a number of special conditions for which the uncertainty of the integrands is minimal. Such values provide criteria for evaluation of experimental data and more approximate solutions, as well as a basis for the construction of generalized correlating equations.