Datsyuk, who'd missed Detroit's last four games with a sore groin, sent a slap shot over Steve Mason's shoulder in the second period to give the Red Wings their third goal and chase the goalie, who was pulled after making just 11 saves.
Datsyuk knocked a rebound past Ray Emery late in the period to send the Wings to intermission up 4-1.
Tomas Jurco put back a rebound halfway through the second to give Detroit the lead for good and Henrik Zetterberg scored an empty-net goal in the final two minutes.
Jimmy Howard made 22 saves as Detroit won its second straight. Emery finished with nine saves.
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