A switched charge storage element integrator in a continuous or discrete time circuit, the integrator including a differential input amplifier, a first 2-terminal charge storage element, a second 2-terminal charge storage element, and a plurality of controlled switches. The differential input amplifier is coupled to a capacitor and a resistor and configured as an inverting integrator. An inverting terminal of the amplifier is coupled to two controlled switches. A non-inverting terminal of the amplifier is coupled to a reference voltage. The first and second switched charge storage element blocks are alternatingly coupled to the inverting terminal INM of the amplifier XOPA during the active state of a second clock signal and a first clock signal, respectively, for making the supply noise continuous and eliminating its dependency on the clock phases, thereby zeroing its convolution with the clock signal.