Jarvis scored with Andersen pulled for an extra skater to cut it to 4-3 with 1:47 remaining.
"We did a lot of good things in that game, especially at the end," Aho said. "We put good pressure on them and we got one goal back, and (getting) the second wasn't too far either, so just have to build off that."
The Hurricanes went on the power play with 41 seconds remaining in the third period, but it was nullified six seconds later when Andrei Svechnikov was called from tripping.
"Especially in an emotional building like this, it always seems to get everyone riled up, and we were at fault again," Staal said.
The Rangers, meanwhile, scored their two power-play goals in a combined 23 seconds of man-advantage time in the game.
"I thought we played a pretty good game," Hurricanes coach Rod Brind'Amour said. "A couple of kills we didn't quite execute right, and they did. ... Other than that, really 20 seconds worth of specialty time where we just didn't execute and they did, we had a pretty good game."
NOTES: Zibanejad (three goals, seven assists), Roslovic (two goals, three assists) and Trocheck (four goals, four assists) each has at least one point in each of the Rangers' five playoff games this season. … Panarin's goal was his 124th point of the season (52 goals, 72 assists), including the playoffs, tying him with Jaromir Jagr (2005-06) for the Rangers' single-season record. … Staal, who was named a finalist for the Selke Trophy as the best defensive forward in the NHL on Sunday, was 8-for-10 on face-offs, including 4-for-5 in the defensive zone. … The Rangers had 28 blocked shots, led by defenseman Jacob Trouba, who had six.