(Solved): The following op amp circuit is called an Integrator. Using op amp and energy ...

???????

The following op amp circuit is called an Integrator. Using op amp and energy-storage element properties, prove that the output voltage of the circuit \( \left(v_{0}(t)\right) \) is proportional to the integral of the input \( \left(v_{i}(t)\right): v_{0}(t)=-\frac{1}{R C} \int_{0}^{t} v_{i}(t) d t \)