Fifth- put Leicester, who had actually remained in the leading 4 for most of the season, will go into the Europa League group phases together with Tottenham after their point at Crystal Palace sufficed to edge Wolves into seventh on objective distinction.
After having safely secured their place in the Champions League for next season, Chelsea FC will now turn their attentions back towards FA Cup affairs and their showdown with London rivals Arsenal in the final at Wembley next Saturday.
To sum up their importance in the team Alexander-Arnold provided the highest number of assist as a right-back in this season's Premier League, while Robertson did the same from the left flank.
Danny Welbeck cut Arsenal's lead to 3-2 with 66 minutes on the clock, as Arsenal looked like they were about let a three-goal lead slip to ensure a nervy finish.
Mason Mount whipped in from a free-kick to give Chelsea the lead and the home side went further in front nearly immediately, when Olivier Giroud slid home. Jesse Lingard scored late to seal the win. Pierre-Emerick Aubameyang, chasing the league top scorer award, scored twice, including an overhead kick and Kieran Tierney bagged in between the striker's brace.
Villa travel to London Stadium this afternoon to take on West Ham as they now sit outside the relegation zone following their 1-0 victory over Arsenal last week.
By half-time the Cherries had climbed above Watford, as they led Everton 2-1 at Goodison Park thanks to Joshua King and Dominic Solanke's goals while the Hornets trailed Arsenal 3-1.
Mason Mount in action during Chelsea's Premier League match against Wolverhampton Wanderers. That was enough for Jose Mourinho's men to finish in sixth position.
Frank Lampard's Chelsea side needed a point to guarantee a Champions League spot in a three-way battle involving Manchester United and Leicester City and would have felt aggrieved had they missed out after being a top-four fixture since last October.
Elsewhere, Brighton beat Burnley 2-1 and Southampton beat Sheffield United 3-1.