Integrated dispensing device for a pivotable door of a washing machine, in particular a dishwasher, comprising a support body having an elongate shape, wherein there are provided first and second, longitudinally adjacent, dispensers (5-7; 9, 10), for a washing agent and a rinse agent, respectively; and an electrically controlled actuator device, coupled to the first dispenser such that when the door is closed a first energisation of the actuator device causes the dispensing of the washing agent, and coupled to the second dispenser (9, 10) through a transmission mechanism (9, 30, 31) including a pivotable interconnecting member acting to make said mechanism operative after a first energisation of the actuator device after the door has been closed, to allow the dispensing of the rinse agent by at least one subsequent energisation of the actuator device; said interconnecting member being adapted to assume by gravity an inactive position in which it makes said mechanism inoperative, as a consequence of opening said door; the actuator device comprising a stationary structure and a mobile member; the integrated dispensing device being characterised in that said movable member of the actuator device is a slider displaceable relative to said structure along the longitudinal direction of said body, between a rest position and a working position; the actuator device comprising a wire of a shape-memory material, having its ends connected to said structure, and extending along a U-shaped path which passes around one portion of the slider opposite said structure; the dispensing device being such that when said wire is energised by means of an electric current, it shortens and causes a displacement of the slider from the rest position toward the working position, against the action of resilient contrast means, and when said wire is de-energised it re-elongates allowing the displacement of the slider toward the rest position; said interconnecting member being carried by and connected pivotably to said slider. a support body having an elongate shape, wherein there are provided first and second, longitudinally adjacent, dispensers (5-7; 9, 10), for a washing agent and a rinse agent, respectively; and an electrically controlled actuator device, coupled to the first dispenser such that when the door is closed a first energisation of the actuator device causes the dispensing of the washing agent, and coupled to the second dispenser (9, 10) through a transmission mechanism (9, 30, 31) including a pivotable interconnecting member acting to make said mechanism operative after a first energisation of the actuator device after the door has been closed, to allow the dispensing of the rinse agent by at least one subsequent energisation of the actuator device; said interconnecting member being adapted to assume by gravity an inactive position in which it makes said mechanism inoperative, as a consequence of opening said door; the actuator device comprising a stationary structure and a mobile member; the integrated dispensing device being characterised in that said movable member of the actuator device is a slider displaceable relative to said structure along the longitudinal direction of said body, between a rest position and a working position; the actuator device comprising a wire of a shape-memory material, having its ends connected to said structure, and extending along a U-shaped path which passes around one portion of the slider opposite said structure; the dispensing device being such that when said wire is energised by means of an electric current, it shortens and causes a displacement of the slider from the rest position toward the working position, against the action of resilient contrast means, and when said wire is de-energised it re-elongates allowing the displacement of the slider toward the rest position; said interconnecting member being carried by and connected pivotably to said slider.