Town, who held a 1-0 advantage going into the semi-final second leg, stood firm until the 61st minute when Nicklas Bendtner curled in the opener before further goals from Laurent Koscielny and Cesc Fabregas secured Arsenal's passage into the final.
"We knew they would have all the ball and we would soak it up and make it difficult, but we have held them and also had that bit of luck," said Jewell.
"For an hour we looked alright, however the manner of the goals were disappointing.
"But I cannot fault the players because their effort was outstanding. If we could have kept it at 2-0, then maybe in the last 15 minutes, then who knows? But it was not meant to be.
"We always knew we were going to be under the cosh here, but you have got to give the players credit because they were not disgraced over two games."
Source: PA
Source: PA