Contrary to the conventional belief, time integrated asymmetries are m
easurable in selected final states in the neutral B system at symmetri
c e(+)e(-) colliders. They occur due to the interplay of weak and stro
ng phases of two different amplitudes in addition to the B-0-(B) over
bar(0) mixing. Observation of these asymmetries would be evidence for
direct CP violation in the decay amplitudes.