The Bruins will face the Pittsburgh Penguins for the right to play for the Stanley Cup.
Recent call-up Torey Krug scored his fourth goal of the series for Boston, which reached the third round of the NHL playoffs for the second time since 1992. The other was 2011, when the Bruins won the sixth Stanley Cup in franchise history.
Dan Girardi scored and Henrik Lundqvist made 29 saves for the Rangers, who lost to New Jersey in last year’s East finals.
Campbell broke a 1-1 tie in the second period, then added an empty-netter with 51 seconds left after Lundqvist was pulled for an extra skater.
The Rangers took an early lead Saturday, but they couldn’t send the series back to New York.
BLACKHAWKS 4, RED WINGS 1
In Chicago, Jonathan Toews and Andrew Shaw scored power-play goals in the second period, and the Blackhawks avoided elimination with a victory over Detroit in Game 5 of the second-round playoff series.
Shaw added his third career playoff goal in the third as the Blackhawks stopped the Red Wings’ three-game winning streak by creating chaos in front of Jimmy Howard, who had shut down Chicago’s attack while moving Detroit to the brink of the Western Conference finals.
Bryan Bickell scored the first goal of the game and Corey Crawford had 25 stops for Chicago
Game 6 is Monday night.