The OP AMP integrator in given Figure has R = 22 kΩ, C = 0.001 μF, and vO(0) = 0 V. The input is vS(t) = 2 sin (ωt) u (t) V.
Derive an expression for vO(t) and find the smallest allowable value of ω for linear operation of the OP AMP. Assume VCC = ±15 V.