The defeat means the Swans' seven-match unbeaten run has come to an end, but Laudrup was not too downhearted about outcome.
"We dominated quite well in the first half," the Dane said.
"They gave us more or less what we expected. We had the ball more, but they played direct and we know how good Carroll is in the air. Inside the box he's very dangerous.
"We could have won 1-0 or it could have been 1-1. After they scored we came back, had a few chances to equalise, but we just have to accept it.
"We're very difficult to beat. Nobody likes to lose. We're not used to losing after the last seven weeks."