Design a digital integrator using the impulse invariance method. Determine and plot the magnitude response, and compare it with that of an ideal integrator. If this integrator is used primarily for...

Design a digital integrator using the impulse invariance method. Determine and plot the magnitude response, and compare it with that of an ideal integrator. If this integrator is used primarily for integrating audio signals (whose bandwidth is 20 kHz), determine a suitable value for T .