The running integrator given by y(t) = \(\int _{-\infty}^\infty\) x(t)dt:

1
Produces an abounded output for every causal bounded input
2
Has no finite zeros in its double-sided Laplace transform Y(s)
3
Has no finite singularities in its double sided Laplace transform Y(s)
4
Produces a bounded output for every anticausal bounded input

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