Lord of the Rings Soundtrack for Fellowship and Two Towers?

I going to buy the Lord of the Rings soundtracks for the first and second movie but I want to know if the songs that are sung in the movie are also in the soundtrack. Such as Emiliana Torrini Gollums song or the Beer song that Pippin and Merry sing. Because in the Return of the King soundtrack they have Home is Behind and Aragon's song.