Use an ideal operational amplifier with its non-inverting terminal grounded, an input resistor and a feedback capacitor , as in the upper circuit. Stable unsaturated negative feedback holds the inverting terminal at virtual ground, while the input current into the amplifier itself vanishes.
Figure 1.
Inverting operational-amplifier integrator and differentiator circuits
. Details.
Applying Kirchhoff's current law at the inverting node gives
(1)
Thus the circuit is an inverting op amp integrator, with its integration constant set by the initial capacitor charge. A constant input makes the output ramp until a real amplifier reaches a supply rail. A practical low-frequency design usually adds a large feedback resistor to limit drift; the ideal integral relation applies where the feedback capacitor dominates.

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