For the three digital integrators in Ex. 4.10, derive the outputs y[n] and y(t) for the analog input x(t) = u(t). Use u(0) = 1, and let the D/C converter be a simple zero-order hold. How do the...

For the three digital integrators in Ex. 4.10, derive the outputs y[n] and y(t) for the analog input x(t) = u(t). Use u(0) = 1, and let the D/C converter be a simple zero-order hold. How do the outputs compare with the output of a continuoustime integrator?