Chris Kreider appeared to give the Rangers the lead at 7:28 of the third period with a lacrosse-style move from behind the net, but video review overturned the call on the ice.
"I got a piece of that," Swayman said. "Guys try it (in practice). It's one of those saves where anything goes, and you try to save it."
Alexis Lafreniere scored on a 2-on-1 with Gauthier to give New York a 4-2 lead at 16:22 of the third, and Trouba made it 5-2 with an empty-net goal at 19:48.
"I thought after the second period we said that the last 10 minutes of the second were really good and let's just keep playing like that," Strome said. "I just thought we worked really hard. ... Good results."
NOTES:Panarin and Marchand each received a misconduct penalty with 12 seconds remaining after Panarin threw his glove from the Rangers bench at Marchand on the Bruins bench. ... Strome tied the second longest point streak of his NHL career. He had an 11-game point streak from March 13 to April 1, 2021 (two goals, 14 assists). … Fox, who leads NHL defensemen with 21 points in 20 games, is the first Rangers defenseman to score at least 21 points by his 20th game in a season since Brian Leetch (15 games in 2000-01). … New York is off to its best start through 20 games since it was 14-5-1 in 2016-17. … Bergeron scored his 23rd regular-season goal in 59 games against the Rangers. He has more goals against three teams: the Ottawa Senators (28 in 74 games), Florida Panthers (25 in 60 games) and Toronto Maple Leafs (24 in 70 games).