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The reigning champion ran in six tries to claim a bonus-point victory at Twickenham, a week on from losing 11-6 to Calcutta Cup rival Scotland.
Monty Ioane put Italy ahead early on but Jonny Hill gave England lift-off with their opening try and Anthony Watson crossed over either side of Jonny May's 32nd Test try.
Jack Willis touched down on his debut and, though Tommaso Allan added a second for Italy, it was plain sailing for the home side as Elliot Daly ran through down the left.
And while accepting England was far from its best against Italy, Farrell was pleased with the way they responded to the opening loss.
"We're back to being 'us' there," he told ITV. "It wasn't a perfect performance, not the best we've ever had, but in terms of the feeling, the energy and the intent, that felt back to 'us'..
"We had some honest conversations with ourselves during the week... there was excitement to get on the training field and put things right.
"And the way that we built up showed in the way that we played. I thought we attacked the game.
"Obviously they had an advantage to move the ball and they ended up scoring a try, which was probably a bit over over-eagerness from us
"But after that I thought our intent was brilliant. We got in behind them, probably not everything went our way, but we stuck at it and the game ended up going our way."
England has won each of its 22 Six Nations fixtures against Italy, which has lost its last 29 matches in the competition in a run stretching back to February 2015.
The Azzurri offered promising glimpses, not least with their second-quickest ever Six Nations try through Ioane, but England ultimately proved too strong on home soil.
"Credit to Italy, they were tough, they never gave up, and we knew they were going to do that," England prop Kyle Sinckler said. "Up front they were strong, their forwards carried hard, their backs had good energy... it was a tough, tough test match but our boys got stuck in there and got the win."
Echoing the thoughts of skipper Farrell, Sinckler hailed England's response to last week's rare home loss.
"I think it was a step in right direction. I think our intent was a lot better today, especially up front," he said.
"We probably didn't get the rewards we wanted, but in terms of the intent, and showing how much it means to us to play for our country, I think it was a step in the right direction.
"We were obviously very frustrated with the performance last week, and we knew we had to step up and play the England way, and the way we want to dominate up front.
"We did that at times today, but we know there's so much more to give. But like I said, it was a step in the right direction. The game's done, we move on to the next one."
Next up for England is a showdown with Wales at the Principality Stadium on 27 February.