Arsene Wenger leapt with joy at the final whistle and punched the air - that's how much this victory meant to Arsenal.
Arsenal substitute Gervinho had sealed the Gunners' win deep into injury time after Nacho Monreal had given them an unlikely lead on 74 minutes.
Following their heroic Champions League display in their 2-0 win in Munich, this second 2-0 away win, has now, at least, settled things down after the defeat against bitter rivals Tottenham.
The relieved Gunners reclaimed fifth spot from Everton, who had already beaten Manchester City in the early kick-off, to heap pressure on Wenger’s men.
They could not afford to drop any more points if they were to keep up with Chelsea and Tottenham whilst holding off a resilient Everton too!
Wenger heaped praise on his team's attitude afterwards, but Arsenal should be thanking Michael Laudrup's desire to win the game.
Because up until the 67th minute, when the Swansea Boss took off midfield powerhouse Ki Sung -Yeung, Swansea had the run of the game. Ki and Leon Britton had out fought and out thought Abou Diaby and Mikel Arteta and for all Santi Cazorla's efforts Arsenal were limping towards a draw.
After only 5 minutes Oxlade-Chamberlain turned inside Angel Rangel and curled a sublime effort towards goal only for the shot to clip the crossbar.
Wenger had made three changes to the team that had gloriously won in Munich on Wednesday, Tomas Rosicky, Aaron Ramsey and Kieran Gibbs were all out - in came Diaby, Oxlade-Chamberlain and Monreal.
Wenger also gave a very strong sign that skipper Thomas Vermaelen is no longer first choice as he was once again left out of the starting line-up and relegated to the bench.
The Gunners had lost their last two league games against Swansea, which seemed to play on their minds.
Rangel scuffed his effort when one -on-one with Lukasz Fabianski, after only 14 minutes when Ki slotted him through on the back of Monreal and Laurent Koscielny.
Carl Jenkinson's catastrophic pass went straight to Jonathan de Guzman, who fed Michu. The striker swivelled to leave Per Mertesacker for dead but somehow screwed his shot wide of Fabianski's left hand post.
Arsenal looked lethargic and lacked urgency.
After 19 minutes, Olivier Giroud set up Cazorla and his half volley forced a decent block from goalkeeper Michel Vorm.
The Swansea keeper then had to dive at the feet of Jenkinson on 24 minutes after Cazorla tried to put in Theo Walcott.
Then three minutes before half time, Oxlade-Chamberlain had a go from 25 yards but once again his effort came back off the crossbar.
Arsenal came out more charged up in the second half, but were still struggling to break Swansea down and create anything.
Cazorla picked up Giroud's pass then skipped past Ashley Williams and then let fly from 18 yards but his effort went straight at Vorm on 52 minutes.
At least Arsenal were testing the Swansea 'keeper, which they had not done in the first half.
Swansea were harrying Arsenal and forcing them into mistakes as the Gunners kept giving the ball away inside their own half. Swansea’s passing crisp and accurate and punched holes in Arsenal's defence, but lacked the finishing touch.
The turning point came when the Swansea Boss took off the irresistible Ki and replaced him with Wayne Routledge.
Wenger then made two substitutions. Gervinho came on for Oxlade-Chamberlain and Ramsey for the struggling midfielder Diaby, as Arsenal then took a grip on the match.
On 74 minutes Monreal put the Gunners ahead, Cazorla went on a run and whipped in a cross, which defender Ashley Williams could not clear, and Giroud set up Monreal, who fired home.
Then, right at the death, Giroud released Ramsey down the right, who in turn squared for Gervinho to slot home the clincher, his first goal for the Gunners since October.
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