In this paper, an integral friction model is proposed, defining separately the Dahl, the Stribeck and the microviscous effects. The model is based on an integral closed form solution of the Dahl model. It is shown by simulation that the model is consistent with the LuGre model, while being computationally more efficient. A limit solution of the proposed model avoids the nonphysical drifts, a drawback of the LuGre model recently addressed in the literature.