Show that if h(t) u(t), then output y(t) for any input x(t) is y(t) Rt

Show that if h(t) ¼ u(t), then output y(t) for any input x(t) is y(t) ¼

Rt 0

xðtÞdt.

That is, a circuit whose impulse response is a step function operates as an integrator.