Hamilton followed his roughing penalty with an interference minor at 5:29 and, though Carolina killed off that penalty without allowing a shot on goal, it was unable to take back the momentum, managing six shots on Bruins goalie Tuukka Rask in the third period.
Charlie Coyle scored an empty-net goal with 2:13 remaining, and Chris Wagner's breakaway goal 11 seconds later completed the scoring.
"I think we were playing a not bad game but had the lead in the third and took some penalties and gave them the lead," Hamilton said. "So tough to come back from that."
Although Hamilton said he "didn't agree with either" of the penalties called against him, Brind'Amour felt the Hurricanes needed to do a better job on the penalty kill (3-for-5) against the Bruins power play, which is a League-best 30 percent (12-for-40) in the Stanley Cup Playoffs.
"We took penalties. We needed to kill them," Brind'Amour said. "Whether they're good or not, whether there were some let go we thought should have been called, that's going to happen every night. So we've got to come up with a better way to kill them, and when we get our power plays, we've got to make them count."
Entering Thursday, the Hurricanes were 3-0 in the playoffs when leading after two periods. They were 34-3-2 when leading after two periods during the regular season.
"This playoff we've been successful holding leads and we got kicked in the pants a little bit today," Hurricanes captain Justin Williams said. "That hasn't happened in a while and we've got to get the next one."
But Carolina has been in this position before. It lost 4-2 in Game 1 of the first round against the Washington Capitals and also lost 4-3 in overtime in Game 2 before coming back to win that series in seven games.
Although they don't want to tempt fate by dropping the first two games to Boston, the Hurricanes know there is no need to panic after one loss.
"Usually the first game of a series, there's a little tiny feeling out, just see what you're up against," Williams said. "Unfortunately, it's tough because that game was there for us."
To even the series with a win in Game 2, Carolina will have to take advantage of more of the scoring chances it generates 5-on-5. That includes its top line of Andrei Svechnikov, Aho and Teuvo Teravainen, which held its own when matched against Boston's top line of Brad Marchand, Bergeron and David Pastrnak, but couldn't find a way to score.
"We're not going to win if we don't play better than that," Brind'Amour said. "We had spurts, but that's not going to be good enough I don't think during the regular season. Certainly, it's not going to be good enough at this time of the year. So we'll regroup and try to get better for the next game."
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