Band Stop Filter

The RLC band stop filter below takes a sinusoidal input voltage signal $V_S$ and produces an output signal $V_{out}$ . This type of filter screens out frequencies within a narrow band and lets others through with near unity gain.

Let $G(\omega)$ be the scalar filter gain, which is the magnitude of $V_{out}$ divided by the magnitude of $V_S$ at a particular angular frequency $\omega$ . Determine the following integral:

$\int_0^5 \Big(1 - G(\omega) \Big) \, d \omega$

Details and Assumptions:
1) $R = 3$
2) $L = 1$
3) $C = 1$