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Patrice Evra's stunning goal gave Manchester United a glimmer of hope of reaching the Champions League semi-finals but ultimately Bayern Munich proved too much.
Check out our gallery for all the ratings below
On the night, Evra gave the visitors their vital away goal just before the hour mark with a spectacular strike. The French defender met Antonio Valencia's cross perfectly and unleashed an unstoppable drive past Manuel Neuer.
From their though, United's night went downhill rapidly. Less than a minute after United's goal, Mario Mandzukic levelled with a close-range header from Franck Ribery's pass.
Wayne Rooney could have scored when put in by Danny Welbeck but the England star fluffed his shot and chance was gone.
Show all 22 1 /22Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Manuel Neuer 6/10 Steady showing but not overly worked before break. Could not be faulted for Evra’s howitzer and dealt well with sporadic United attacks thereafter
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings David Alaba 6 Offered strong presence for Bayern and did well standing up to direct running of Valencia. Never switched off and enjoyed a quieter second half
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Dante 6 Brazilian was back in centre of defence of being banned for first leg. Was not greatly troubled by a struggling Rooney as United lacked attacking spark
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Jerome Boateng 6 Was kept busier than might have been expected as United held their own before the interval. Almost cleared into his own net in comical fashion
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Philipp Lahm 7 Stationed in now unfamiliar right-back role. Strong challenge on Evra went unpunished. Pushed forward at 1-1 and change worked wonders
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Toni Kroos 6 Has been strongly linked with United in recent weeks and put on a committed show here. Sent one effort over from distance and tracked United runners
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Mario Gotze 7 German helped control proceedings in centre of park in first half. Taken off for Rafinha as Bayern reshuffled to take the game away from United
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Thomas Muller 6 Scuffed Bayern into lead after Robben afforded time on United’s left, again proving the scourge of English opposition. Struggled for the ball at times
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Franck Ribery 7 Always prompting and probing but contained well by Fletcher and Carrick. Caught offside early on before finding side netting with one shot
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Arjen Robben 8 Picked up where he left off at Old Trafford, driving forward at United backline. Allowed time and space to set up second before dancing through for third
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Mario Mandzukic 6 Slow to react to one ball into box, Smalling getting in well to clear. Caused Vidic to get early booking and quiet until he stooped for quickfire equaliser
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings David De Gea 6 Not tested in first half as Robben and Ribery shot wide. Left exposed for Bayern’s quick double before allowing Robben effort to squirm in
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Patrice Evra 6 Played key part in United’s first-half containment job as Bayern were frustrated. Fine strike for goal but found wanting at back, at fault for hosts’ last two
Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Nemanja Vidic 6 Goal hero from first leg was walking tightrope early on after harsh yellow for challenge on Mandzukic. Failed to stop Robben from sending in third
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Chris Smalling 8 Surprisingly chosen ahead of Ferdinand in first European start since loss in Olympiakos but performed heroics before United tired. Blocked Robben effort
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Phil Jones 8 Caught out of position after early surge down the right but made vital block on Robben. Recovered to put in one of his best showings in United shirt
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Darren Fletcher 7 Provided valuable extra cover in first European start for 17 months, linking up well with Carrick. Bayern’s extra fitness ultimately showed at the end
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Michael Carrick 6 Calm in possession and made vital interceptions as United more than held own in a busy midfield. Unable to react late on as game ran away from United
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Shinji Kagawa 6 Given starting berth following recent form and drove effort straight at Neuer for game’s first shot on target. Not as effective as would have hoped
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Antonio Valencia 6 Saw effort ruled out for offside when poking in Rooney cross and was caught out by Ribery. Cross set up Evra’s opener and enjoyed battle with Alaba
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Wayne Rooney 5 Was he ever going to be left out? Might as well have been for all the impact he made. Fluffed lines badly when played in by Welbeck and seemed unfit
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Bayern Munich 3 Manchester United 1 (agg: 4-2): Second leg player ratings Danny Welbeck 6 Problems with his boots limited his involvement in opening minutes but never stopped running and offering for the ball. Taken off for Januzaj
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Thomas Muller then swept home Arjen Robben's low cross and the Dutch winger made it three for Bayern and put the game beyond David Moyes' tiring side with superb solo run and strike, albeit with the aid of slight Nemanja Vidic deflection.
Bayern held on to go through to semi-final draw while United bow out.
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