Vancouver winger Byron Bitz gave them another chance at 12:12 of the second as he received a boarding major and game misconduct for slamming Kyle Clifford face-first into the glass. Clifford stayed on the bench a while afterward, then left the game and did not return.
Mitchell put in a point shot off Pahlsson's stick with less than a minute to go in the five-minute man-advantage opportunity.
The Canucks drew even with just eight seconds left in the second period as Alex Edler's point shot hit Brown's stick, bounced off the ice and then went high past a screened Quick.
Game 2 is Friday night in Vancouver.
Notes: Carter returned to the lineup after missing the last five games of the regular season with a bruised ankle. "It feels fine," he said after the morning skate. ... Daniel Sedin remained out with a concussion. He missed his 10th straight game. The winger did not take part in the morning skate with the team or a second session with extras. Vigneault refused to comment on a Swedish media report that quoted Sedin's father saying Daniel experienced a headache after skating earlier in the week. ... This is the fifth post-season series between the teams. Both clubs have won two series. The Canucks prevailed in 2010 and 1982 en route to the Stanley Cup finals. The Kings ousted Vancouver in 1993 and 1991. ... Los Angeles has four Stanley Cup winners on its roster. The Canucks have one — Pahlsson (Anaheim, 2007).