Integrateds usually have pretty decent power supplies. If the sub isn't a heavy duty deal, and the sub has stereo inputs (R&L), you should be OK to use it. Do you happen to know any specs for the sub?
SVS's passive subs are fairly serious customers, and they say there is no problem driving them with an old stereo receiver (just don't expect the same performance as something like a Crown, etc...)
Long term though, a bridgable amp is probably the best way to go.