The result lifted Hull out of the drop zone into 17th position on 30 points from 31 games, while Boro remained 19th with 23 points from 30 matches after stretching their winless league run to 13 games. It is a big, big game for us and we need three points.
The Tigers have now taken 16 points from a possible 18 in their last six home league games to give their survival battle real momentum and Silva said his side's display was their best since he took charge in January.
"We've got great team spirit", Clucas told the club's official website after a thrilling encounter at the KCOM Stadium that saw Hull come back from behind for the second time in five days.
Boro were stunned and needed some invention to get back in the game and Rudy Gestede almost provided that but he saw his header tipped onto the crossbar by keeper Eldin Jakupovic.
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Again Tadic cut Palace to pieces, this time with a flick over the top - again Long's finishing failed to match the approach play. Zaha has been an integral part of Sam Allardyce's team.
"But we were a bit naive at times defensively, not just the back four, as a team".
Against the odds the match began with a bang as goal-shy Middlesbrough stunned the hosts by taking the lead through leading scorer Alvaro Negredo, who slotted home Adama Traore's low cross.
After playing his part in those first two goals, Hernandez was in the right place at the right time to finish off a delightful move that had seen Harry Maguire release Kamil Grosicki with a threaded pass that was quite magnificent.
The home side seemed to wake up from their slumber and responded seven minutes later as Markovic poked the ball into the back of the net after Andrew Robertson's cross was deflected into the path of the oncoming Serbian.
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Hernandez followed that nuisance value by creating Hull's second, the Uruguayan capitalising on Ben Gibson mis-reading the flight of the ball before passing to Niasse, who fired in from 12 yards.
Only the reflexes of Jakupovic prevented Boro from quickly halving the deficit as he tipped Rudy Gestede's far-post header onto the crossbar.
Boro's attacking intent was rewarded in first-half stoppage-time, albeit in hugely controversial circumstances due to Marten De Roon heading in from a clearly offside position.
Middlesbrough: Valdes; Barragan, Ayala, Gibson, Husband (Guedioura 58); Traore, Clayton, de Roon, Downing; Negredo (Bamford 71), Gestede (Stuani 80).
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