Freddy Meyer, Sean Bergenheim and Mark Streit scored for New York. The Islanders have lost three straight overall and three of four home games so far this season.
Rick DiPietro started in goal and stopped 10 shots before being pulled for Joey MacDonald to start the second period. MacDonald took the loss while stopping 14 shots.
The Islanders set a franchise record with 60 shots on goal.
The Islanders were awarded a penalty shot a the final second when Carolina defenseman Tim Gleason closed his hand on the puck in the crease, but Doug Weight missed.
LaRose gave Carolina the lead 3:43 into the game. He picked off DiPietro's clearing attempt near the blue line, skated into the right circle and beat the goalie with a wrist shot.
Brind'Amour set himself up to net his fourth goal of the season at 8:49. He won a faceoff in the right circle, and drew the puck back to Joe Corvo at the right point. DiPietro stopped Corvo's shot, but Brind'Amour was able to grab the rebound and shove it in.
DiPietro was pulled after the period in favor of MacDonald.
New York got on the board at 3:56 of the second period when Meyer let go a 40-foot slap shot that beat Ward.
Carolina answered at 10:51 when Staal intercepted Meyer's pass in the offensive zone and beat MacDonald for his fourth goal of the season.
Bergeinheim narrowed the gap to 3-2 with a short-handed goal at 5:35 of the third period. He drew Ward down and backhanded the puck in.
LaRose answered back for Carolina 1:36 later on a rebound.
Brandon Sutter went down on a hard, but clean check by Weight at 9:58. He was tended to by trainers from both teams. After about 5 minutes, he was able to stand up, and was assisted off the ice.
The Islanders wound up with a power play during the ensuing melee, and scored to cut the gap to 4-3. Streit cranked a slap shot and blew it past Ward at 10:34.
