Nicklas Bendtner scored inside two minutes in his first start in the top-flight this season.
Mesut Ozil doubled the lead after 47 minutes as the Gunners recorded their 11th win in 14 League games this term.
Arsene Wenger made five changes to his side and left out key striker Olivier Giroud as the much maligned Bendtner led the line.
The 25-year-old immediately answered some of his critics with a fine header to open the scoring.
A great cross from advancing right back Carl Jenkinson was met by Bendtner from close range for his first League goal in an Arsenal shirt since December 2010.
Indeed he should have made it two inside 15 minutes after visiting goalkeeper Allan McGregor spilled Ozil's shot, but he couldn't force home the rebound.
The hosts, despite the changes, dominated and peppered McGregor's goal. The Scottish custodian did well to get down to his left to push Aaron Ramsey's 25-yard fizzer around the post.
Bendtner turned provider four minutes before the break, but Ozil was unable to steer his cross from the right into the bottom corner.
The Tigers were offering precious little going forward and they were killed off just after the break when Ozil tucked home Ramsey's astute pass.
It was a third Premier League goal for the German and then he almost turned provider as he put through Ramsey but McGregor was off his line to smother the effort.
Santi Cazorla then had an effort deflected behind before the Humbersides showed a glimpse of attacking threat.
Jake Livermore tested Wojciech Szczesny with a shot before substitute George Boyd headed Yannick Sagbo's cross wide from close range.
Bendtner was replaced with 18 minutes to go to a standing ovation as the game petered out, but Arsenal had done the hard yards and stay four points ahead of Chelsea at the summit of the Premier League.
Wenger told the Arsenal official website after the match, that he was happy.
We had a good night because we had a good control of the game. We had some great technical quality and keep a clean sheet. We rotated quite a bit as well. We couldn't take all the chances we created but overall it was a very convincing performance.
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Arsenal entertain Everton on Sunday with their position at the top of the Premier League table secured.
Hull, meanwhile, have an extra day's rest before travelling to Swansea on Monday.
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