Adam Clayton was quick to draw on the positives after the FA Cup run came to an end against Manchester City on Saturday.
City scored inside three minutes at the Riverside giving an early mountain to climb and the visitors added a second with 20 minutes remaining, but Boro remained dogged against the best attacking outfit in the Premier League.
"I think they started both halves very well and nullified us a little bit," said the midfielder.
"They're a top team. We had a go and needed to get a goal in the first half to build a bit of momentum but I think they did the job that they needed to in the end.
"I've watched them score early many times and then make it two, three or four nil within half-an-hour so we did well to keep our heads and carry on playing to come out and fight.
"We had a couple of chances in the first half to come out and score a goal and were unlucky there.
"So there's a lot of positives in the performance but we've been beat when we really wanted to make it to Wembley so there's a lot of disappointment."
Boro return to league action on Sunday against Manchester United (12pm) and Clayton says the team are hoping for another big atmosphere at the Riverside.
"We've been under the cosh lately from all angles so we'll come out fighting and need to show that every week from now until the end of the season," he said.
"We'll take the positives from Saturday and take them into the Man United game. If we can get the fans going like we did, then try to get a goal and keep going."