Olivier Giroud's 16th Premier League goal of the season sealed a 1-0 victory for Arsenal over West Brom at the Emirates Stadium on Sunday.
The Frenchman met Santi Cazorla's left-wing corner with a powerful downward header in the 14th minute, ensuring Arsene Wenger's men picked up their fourth league win in a row.
Everton's 3-2 reverse to Manchester City on Saturday meant Arsenal were already assured of a UEFA Champions League berth for a 17th successive campaign, with the FA Cup final against Hull City on May 17 now their main focus.
West Brom, meanwhile, went into the game knowing they had likely done enough to secure safety, with 18th-placed Norwich City facing two difficult fixtures, and there was little intensity on show in a low-key affair.
Lukas Podolski did strike the post for Arsenal in the second half, but one goal proved enough as West Brom struggled to carve out opportunities.
Arsenal hit the front just before the quarter-hour mark thanks to Giroud's firm header.
After Cazorla had seen his shot deflected over the bar by Youssouf Mulumbu, the Spaniard curled the resulting corner in from the left and Giroud got the better of Craig Dawson to plant a well-directed header into the net from six yards.
Graham Dorrans stung the palms of Wojciech Szczesny with a rasping drive in the 32nd minute, while Saido Berahino blasted a shot narrowly over a minute later.
The hosts' response was immediate, Cazorla bringing a smart save out of Ben Foster after running onto Podolski's cut-back.
Mathieu Flamini, back in the side in place of the rested Aaron Ramsey, hit a tame effort straight at Foster from the edge of the box as Arsenal ended the first period in the ascendancy.
In a quiet second half, Dawson headed over the bar from a corner in the 72nd minute before dragging a speculative effort well wide of goal from 30 yards shortly afterwards.
Mesut Ozil, quiet for much of the match, stabbed narrowly wide of goal after getting on the end of Giroud's flick as Arsenal looked to put the game to bed.
Podolski's mis-hit shot then rebounded back off the post and into the arms of a grateful Foster, but it mattered little.
While Arsenal's title hopes faded some time ago, the club can at least take some consolation from reaching their highest Premier League points tally since the 2007-08 season.
|12||O. Giroud||14' 90+1'|
|Coach: A. Wenger|
for Arteta 63'
for Santi Cazorla 70'
for Nacho Monreal 80'
|The Invincibles and Champions League heartbreak - the highs and lows of Wenger´s 20 years at Arsenal|
|Liverpool top, DVDs just invented and no Harry Potter - how the world looked when Wenger joined Arse|
|Guardiola eyes longer City stay|
|Wenger fits England criteria ´perfectly´ - FA chief|
|Houston Dynamo 0 New York City 2: Villa brace seals routine win|
|Premier League defends tax arrangements|
|Redknapp reportedly aware of players betting on games|
|Koeman champions ´outstanding´ display despite draw|
|Everton profited from ´harsh´ refereeing, claims Delaney|
|We will get much better, Guardiola warns rivals|
|Ibrahimovic turned down €100m China deal - Raiola|
|Everton 1 Crystal Palace 1: Benteke cancels out Lukaku opener|
|Rashford looking to emulate Ronaldo at Manchester United|
|Managers given bad name by Allardyce scandal - Moyes|
|Pagliara claims he lied to Telegraph over bungs|
|Dyche excited by Arsenal challenge|
|Mazzarri wary of unleashing Success until he is fully fit|
|Moyes stands by criticism of players|
|Guardiola marvels at amazing Ryder Cup experience|
|Mathieu and Deschamps ´exchange´ gives Mangala recall|
|Retirement threat just ´erratic´ Tevez being dramatic - Joorabchian|
|Dani Alves wants Champions League glory with Juventus|
|Guardiola: Football fans can enjoy Tottenham|
|Ranieri calls for consistency from Leicester|
|Low missing out on ´dream´ player in Castro - Tuchel|
|Mata: I never had problems with Mourinho|
|Conte wants failures to motivate Chelsea|
|Pochettino rules out ´impossible´ England switch|
|Emery pleased with Ben Arfa attitude|
|Gundogan returns for Germany after lengthy absence|
|Terry out again as Chelsea prepare for Hull|
|Hasselbaink refutes corruption allegations|
|Robben to start against Cologne, suggests Ancelotti|
|Prolific Callejon called into Spain squad|
|Hull City offer ´keeps changing´ - Phelan|
|Krueger: Black allegations do not directly affect Southampton|
|Wenger optimistic over Coquelin recovery|
|Hughes focused after Mourinho backing|
|Wenger open to England job|
|Klopp eyes retirement before 60|
|Wenger the pioneer battles on within his own legacy|
|Lukaku: I am not on Suarez´s level yet|
|Ibrahimovic is tremendous even if he does not score - Mourinho|
|CONCACAF Champions League Review: Olimpia, Honduras Progreso claim key wins|
|Astra expected hungover Roma - Spalletti|
|United fixture list a ´poisoned gift´ - Mourinho|
|Ronaldo back for ´stronger´ Portugal|
|Dembele can be next Drogba - Rodgers|
|Mourinho wanted Pogba at Chelsea, says Raiola|
|Puel pleased with ´good point´ in Israel|
|Mourinho not ´over the moon´ with United wins|
|Southampton investigating Eric Black allegations|
|Rodgers: Celtic would challenge at the top in England|
|Ibrahimovic expects more from United|
|Manchester United 1 Zorya 0: Ibrahimovic header earns Mourinho´s men narrow win|
|De Boer blasts Inter for lack of focus|
|Zarate reveals message to ill wife after goalscoring return|
|Raffael suffers fresh injury setback|
|Hapoel Be´er Sheva 0 Southampton 0: Saints´ winning run comes to an end|
|Sparta Prague 3 Inter 1: De Boer´s side humbled in Europa League again|
|Police to review corruption allegations after Telegraph sting|
|Brady hails Wenger as ´possibly the best ever´ Gunners boss|
|Yacob signs new West Brom deal|
|Guidolin prioritising Swansea improvement over his future|
|Sakho outburst has been dealt with – Klopp|
|Bilic sorry for Allardyce in ´very sad´ week for English football|
|Laporte saga nears conclusion as defender earns France call-up|
|Everton are exceeding expectations – Koeman|
|Wenger could be tempted by an international offer, says ex-assistant|
|No excuses for Liverpool this time, says Klopp|
|Rashford left out of England Under-21 squad|
|Boro must pick up where they left off - Karanka|
|Matuidi could still join Juventus, says Raiola|
|Pardew anticipates battle of the Belgians|
|Legia Warsaw to face Real Madrid behind closed doors|
|England job would be the pinnacle - Pardew|
|Wright sacked by Barnsley|
|Bilic defends West Ham team night out|
|Ramsey withdrawal was Arsenal´s call - Coleman|
|LMA demand ´immediate full disclosure´ of corruption evidence|
|´My answer would be a big fat no´ - Coleman rules out taking England job|
|Leeds dismiss Cellino sting as ´non-story´|
|Gabigol, Rashford and Sanches among Golden Boy nominees|
|Keane slams Arsenal: Half their players will have gloves on soon|
|´Special´ Man City draw a career highlight, says Gordon|
|Southgate admits England situation is ´not ideal´|
|England should have gone for O´Neill, says Shilton|
|PSG´s powers of recovery impress Cavani|
|Howe ´absolutely committed´ to Bournemouth amid England links|
|Man City proved character against Celtic, says Zabaleta|
|Walcott: Sanchez partnership bodes well for Arsenal´s season|
|MLS Review: DC, Impact on track for play-offs|
|CONCACAF Champions League Review: Tigres, Dallas left waiting|
|Central Sanchez pleases Wenger|
|Barca felt Messi absence - Busquets|
|Martino knew Messi would come out of retirement|
|Shilton never convinced by Allardyce|
|Degenek replaced by Giannou for Socceroos|
|Griezmann will still take penalties - Simeone|
|Simeone proud of ´one of the best´ wins|
|Godin suffers sprained ankle ligament|
|West Ham receive positive news over injured duo|
|Robson: Four wins for Southgate and he´s an England contender|
|Gunes rues Besiktas´ inability to see off Dynamo|
|Sarri: Late goals leave bitter taste|
|Borussia Monchengladbach were exceptional against Barcelona, feels Schubert|
|PSG must be patient, says Emery|
|Celtic are lucky to have Dembele - Rodgers|
|I´m completely focused on Arsenal, insists Wenger amid England talk|