Forest's play-off ambitions were shattered by two goals from Lewis Grabban and Yann Kermorgant. Greg Halford pulled a goal back to make it 2-1 but Bournemouth underlined their superiority with two late goals.
Brazil said: "It was a disappointing day. I thought Bournemouth were much better than us on the day.
"In the first half we did what we wanted to do, to make sure we made it hard for them to score.
"We did that well right up until just before half-time where we let them get into the game. We didn't defend the cross, and they get a goal up.
"You can see straight after half-time the game got away from us. We get ourselves a goal off a set-piece and potentially could have got another off another set-piece.
"The penalty really took the game away from us and we are chasing from there.
"I've no complaints about the result, they were the better team and they looked like a settled team who have a very settled style of play. It was tough for us to play against them at times today."
However, Bournemouth boss Eddie Howe is looking to extend his sides their impressive recent form into next season.
Grabban added his 21st goal of the season from the penalty spot, after Gonzalo Jara brought down Marc Pugh, before Kermorgant completed the rout in stoppage time.
Howe said: "I thought we were excellent in the first 15 or 20 minutes and all that was missing was a goal to show for it.
"Our overall performance was top class against an excellent side.
"Once we had gone ahead I felt we were always in control even after Nottingham Forest had pulled a goal back from a set-piece.
"We have come a long way this season. We took some heavy beatings early on, which was all part of the learning process.
"I like to think we know have threats all over the pitch and always look like we can score goals from any direction.
"I don't feel any sense of huge disappointment as it is not as though we have dropped out of the top places. We arrived late on the scene and we have to hope we can take this momentum into next season."