Clip 1 (0:41) is the scene where Lisbeth agrees to do research for Mikael. Her low key demeanor is instantly changed when he mentions the killing of women.
Clip 2 (1:24) is a sex scene which takes Mikael by surprise.
Clip 3 (0:37) is a sex scene that takes place during a lull in a stakeout. It's preceded by Lisbeth telling Mikael to put his hand back under her shirt.