Norah Jones, Fiona Apple, Graham Parker, and Lindsey Buckingham have all contributed new songs, produced by the film’s composer Jon Brion.

https://www.youtube.com/watch?v=LQfjdmbXVck#!

“This Is 40” Soundtrack Tracklisting

01 Yoko Ono: “I’m Your Angel”
02 Norah Jones: “Always Judging”
03 Graham Parker and the Punch Brothers: “What Do You Like?”
04 Lindsey Buckingham: “Sick of You”
05 Paul Simon: “Rewrite”
06 Ryan Adams: “Shining Through the Dark” (Live)
07 Paul McCartney: “Lunch Box Odd Sox”
08 Lindsey Buckingham: “Brother & Sister” [ft. Norah Jones]
09 Jon Brion: “Theme 1 (Debbie & Oliver)”
10 Graham Parker and the Rumour: “Watch the Moon Come Down”
11 Loudon Wainwright: “Days That We Die”
12 Lindsey Buckingham: “She Acts Like You”
13 Fiona Apple: “Dull Tool”
14 Ryan Adams: “Lucky Now” (Live)
15 Wilco: “I Got You”
16 The Avett Brothers: “Live & Die”
17 Graham Parker and the Rumor: “Protection” (Live) (digital-only bonus track)

Sources:

https://www.huffingtonpost.com/2012/11/09/this-is-40-soundtrack-paul-mccartney-yoko-ono_n_2099728.html

Fiona Apple, ‘Dull Tool’