When the meniscus is shape important and the velocity distribution itself is not required in high accuracy, the basic equations have been transformed and combined to yield a meniscus shape equation, an integral-y-momentum equation and an integral-x-momentum equation. Although their original forms were exact as they were, thin film assumption with a parabolic velocity profile across the film rendered the working equation to emphasize the flow characteristics near the free surface or on the solid surface, or to accomodate these two flow patterns. Most frequently used in recent times is the integral-x-momentum equation designated by the integral method in the literature. But a critical examination of simulated results for the dip coating process revealed that the integral method could be applied safely to the limited case of employing the liquid of large surface tension and small withdrawal speed. Simulation was carried out in terms of M and U_o instead of the capillary and Reynolds numbers, and distinct tendencies of the final film thickness, the entrance length and the dynamic meniscus profile could be observed.