Chelsea could not take advantage of long spells of possession as first Michu, then Danny Graham, scored to give the Welsh side the first leg lead.
The second leg takes place in a fortnight’s time, with Swansea on the brink of their first major cup final.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.