A realization of a digital integrator that uses a backward difference approximation is represented as y[n] − y[n − 1] = T x[n], where T is the sampling interval. Assuming zero initial condition y[−1]...

A realization of a digital integrator that uses a backward difference approximation is represented as

y[n] − y[n − 1] = T x[n],

where T is the sampling interval. Assuming zero initial condition y[−1] = 0, solve this equation iteratively when the input x[n] is