The Tigers started well with a high-tempo approach, but it was the visitors who had the first shot of the afternoon when Stephane Sessegnon smashed the ball just over the crossbar.
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David Meyler then headed wide from six yards out, but Hull broke the deadlock just moments later.
Shane Long went down under a challenge from Gareth McAuley to win a penalty, but Nikica Jelavic saw his spot kick saved by Ben Foster. However, Liam Rosenior was on hand to head the rebound into the net.
It was two just seven minutes later, thanks to Long's volley from eight yards.