"I Should Have Known Better" is a song by English rock band the Beatles composed by John Lennon (credited to Lennon–McCartney), and originally issued on A Hard Day's Night, their soundtrack for the film of the same name released July 10, 1964. I Should Have Known Better was issued as the B-side of the U.S. single A Hard Day's Night released July 13, 1964. An orchestrated version of the song conducted by George Martin appears on the North American version of the album, A Hard Day's Night Original Motion Picture Soundtrack.

In January 1964, during a three-week engagement at the Olympia Theatre in Paris, the Beatles first became aware of American singer and songwriter Bob Dylan, and after acquiring a copy of his album The Freewheelin' Bob Dylan, they began playing it continuously. American journalist Al Aronowitz introduced them to Dylan when the Beatles visited New York City in February 1964, and Dylan subsequently became a big influence on the group, especially Lennon, who even started wearing a copycat Huckleberry Finn cap. One consequence of this “infatuation” (as Ian MacDonald later described it) was the song "I Should Have Known Better."Paul McCartney said Dylan's songs were "great lyrically," and Lennon credited Dylan with inspiring him to write more meaningful lyrics.

The first recording session for the song was on 25 February 1964 at Abbey Road Studios when three takes were attempted, but only one was complete. Take 2 was aborted when Lennon broke into hysterics over his harmonica playing. The song was re-recorded the next day after making some changes to the arrangement.

...
Wikipedia