The Gunners have had their fair share of struggles with Swansea over the past three seasons, but those are a thing of the past for now after a 3-0 win helped Arsenal keep pace with No. 1 Manchester City.
Swans are 13th, with 13 points.
[ MORE: Watch full match replays ]
Arsenal began the match with high pressure, as there was no easing Campbell into his starting role.
It was Bafetimbi Gomis who sprung a perfect run to collect a breakaway ball, but he waiting far too long to unleash a shot and saw the ball tackled away from him inside the 18.
Olivier Giroud had a chance to make it 1-0 before a half hour, but cut a high shot wide of the far post from 12 yards away. And Swans countered on an in-tight free kick that saw a header pop over the frame.
Arsenal’s attacking depth took another hit when Jefferson Montero skidded into Giroud’s knee, leaving the Frenchman on the pitch for a lengthy spell.
[ MORE: Latest Premier League standings ]
Giroud found the opener in the 49th minute, rising over Ashley Williams to head Alexis Sanchez’s corner home.
And Koscielny victimized Lukasz Fabianski barely 20 minutes later, bodying up the keeper before passing the ball into the yawning frame.
Campbell was the most recent beneficiary of Mesut Ozil’s playmaking wizardry, earning his first PL goal to make it 3-0.