We present calculations based on the Markov-chain technique of the intensity and direction of light traversing a multiply scattering medium in the isotropic scattering case for pulsed point-source illumination. From these calculations we derive expressions for the trade-off between spatial image resolution and detector integration time when the diffusion approximation is not valid. We show that image resolution better than the diffusion limit is theoretically possible use of multiply scattered light for samples thinner than approximately 35 scattering lengths. Monte Carlo simulations are used to extend these results to the anisotropic scattering case.