In the course of forming a resistor in the back end of an integrated circuit, an intermediate dielectric layer is deposited and a trench etched through it and into a lower dielectric layer by a controllable amount, so that the top of a resistor layer deposited in the trench is close in height to the top of the lower dielectric layer; the trench is filled and the resistor layer outside the trench is removed, after which a second dielectric layer is deposited. Vias passing through the second dielectric layer to contact the resistor then have the same depth as vias contacting metal interconnects in the lower dielectric layer. A tri-layer resistor structure is employed in which the resistive film is sandwiched between two protective layers that block diffusion between the resistor and BEOL ILD layers.