An analytic expression is derived for the electron spin polarization (CIDEP) of neutral radicals pairs in micellar solutions at high magnetic fields. It is valid for arbitrary reactivities of the singlet and triplet states of the radical pair complex, additional dephasing processes at the contact distance, and arbitrary values of the singlet-triplet mixing and the micellar parameters. The expression is obtained from our previously derived general formula by explicitly evaluating all the fundamental quantities, that are expressed in terms of the Green's function of the diffusive motion in a micelle and which apparently has not been given before. The exchange interaction is assumed to decrease exponentially with the separation between the radicals and to be characterized by a decay length l(x) and a maximum value J(0). The micelle is modeled by a potential well. The only condition for the applicability of the expression is that the exchange interaction is locally weak, i.e., (J(0)l(x)(2)/D-m)(2)<<1, but it may be integrally strong; D-m is the relative diffusion constant for the radicals in the micelle. A comparison with numerical results showed that the expression is very accurate, no deviations were found.