Design op amp integrators and differentiators using

Question

(a) Mimic this analysis to show that the circuit in Figure is an op amp integrator with

E_out= -1/RC ∫E(t)dt,

up to a constant that depends on the initial charge on the capacitor.

(b) Design op amp integrators and differentiators using negative feedback but with induc¬tors instead of capacitors. (In most situations, capacitors are less expensive than induc¬tors, so the previous designs are preferred.)