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The OP AMP integrator in given Figure has R = 22 kΩ, C = 0.001 μF, and v_O(0) = 0 V. The input is vS(t) = 2 sin (ωt) u (t) V.

Derive an expression for v_O(t) and find the smallest allowable value of ω for linear operation of the OP AMP. Assume V_CC = ±15 V.

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