The first song on side two of the Apple LP "Let it Be" or track 08 of the CD equivalent is an original Lennon/McCartney composition entitled "I've Got A Feeling" with the first part written mainly by Paul and the "Everybody Had A Hard Year" section written mainly by John.
"I've Got a Feeling" was first rehearsed at Twickenham Film Studios starting on January 02 1969. There is also a filmed performance of the rehearsal for "I've Got A Feeling" in the "Let It Be" film from January 08 and 09 1969 once again at Twickenham Studios.
"I've Got A Feeling" was first properly recorded on January 22 1969 from Apple Studios in London, whereby this specific take (?) was used not only for the first two line-ups of the Glyn Johns produced "Get Back" LP acetates, but can also be heard on the Apple/EMI 3-LP/2-CD "Anthology 3". (There is some confusion on my part as the source from Winn says January 22 1969 consisted of the "Get Back" takes for the song, but Lewisohn states it as being from two days later on January 24 1969.)
There was another take of "I've Got a Feeling" from a few days later on January 27 1969 once again from Apple Studios and is only available on the bootleg "Singing the Blues" in mono. The following day the song was performed again but the tape ran out and it has not been released.
On Thursday January 30 1969, The Beatles played live on the rooftop of 3 Savile Row in London (the building was Apple headquarters in those days). There were two versions of "I've Got a Feeling" recorded. The first version was used on the commercial Apple LP/CD "Let It Be" and footage from this take also appears in the film. The second take was not used.
On Wednesday February 05 1969, "I've Got A Feeling" was given a stereo mix with two attempts at Apple Studios.
Another stereo mix for "I've Got a Feeling" was conducted at Olympic Sound Studios for the "Get Back" project by Glyn Johns on March 10 1969.
Finally on Monday March 23 1970, Phil Spector remixed two takes of "I've Got A Feeling" from Room 4 of EMI studios. The first mix was from a take on January 28 1969 (although sources used for this blog include the statement that the tape ran out befor the ending of the song) as well as the live rooftop take from January 30 1969. The rooftop take was used for the commercial LP/CD.
"I've Got A Feeling" is available on the Apple LP/CD "Let It Be". A combination of the first and second take performances from the rooftop concert of January 30 1969 and with a remix including bringing up the electric piano played by Billy Preston can be heard on the Apple/EMI LP/CD "Let It Be...Naked".