Chelsea were decimated 3-0 in their trip to Newcastle United on Sunday and were denied UEFA Champions League qualification.
Chelsea's fifth-place finish meant there was no change in the Premier League's top six on the last day of the season.
An Erik Lamela brace saw Tottenham Hotspur overturn a 3-1 deficit to beat Leicester City 5-4 at Wembley Stadium and keep third, while Liverpool cruised to a 4-0 victory over Brighton & Hove Albion as they stayed fourth.
Mohamed Salah scored the first of Liverpool's goals during that rout and set a new Premier League record as he sealed the Premier League's Golden Boot in his first season back in England, per the Reds' official Twitter account:
Arsene Wenger's last game in charge of Arsenal ended in victory as the Gunners emerged 1-0 winners at Huddersfield Town, where Pierre-Emerick Aubameyang scored to end his first Premier League term on 10 goals.