Laurent Koscielny struck the winning goal at the start of the second half for the Gunners.
Tottenham beat Sunderland 1-0 thanks to a late Gareth Bale goal but it was not enough for fourth.
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Who of Europe’s top strikers will move to England this summer?
After a dreadful start to their Bundesliga campaign, Borussia Dortmund appear to have weathered the storm after going five matches without defeat.