Idrissa Gueye put Everton ahead early in the first half after his freekick was deflected past David Raya by Declan Rice into the net. The Gunners struck back three minutes later when Takehiro Tomiyaso stroked the ball home after Martin Odegaard teed him up.
Kai Havertz completed the come-back for Mikel Arteta’s side with one of the final kicks of the game.
Elsewhere, Jurgen Klopp got a winning farewell in his final game at Anfield, thanks to a Liverpool 2-0 victory over ten-men Wolverhampton Wanderers.
Chelsea confirmed their return to European football next season with a 2-1 win over Bournemouth, while Manchester United will hope to win the FA Cup for a chance to play European football next season after finishing eighth in the league despite a 2-0 win at Brighton.
Luton join Burnley and Sheffield United to be relegated from the EPL following a 4-2 loss to Fulham at home.
RESULTS
Arsenal 2-1 Everton
Brentford 2-4 Newcastle United
Brighton 0-2 Manchester United
Burnley 1-2 Nott. Forest
Chelsea 2-1 Bournemouth
Crystal Palace 5-0 Aston Villa
Liverpool 2-0 Wolves
Luton 2-4 Fulham
Manchester City 3-1 West Ham
Sheffield Utd 0-3 Tottenham