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Track listing
Side one
1. «Take It Easy»
2. «Witchy Woman»
3. «Lyin Eyes»
4. «Already Gone»
5. «Desperado»

Side two
1. «One of These Nights»
2. «Tequila Sunrise»
3. «Take It to the Limit»
4. «Peaceful Easy Feeling»
5. «Best of My Love»

Their Greatest Hits (1971–1975) is the first compilation album by the Eagles, released in 1976. The album contains a selection of songs from the Eagles first four albums released in the period from the Eagles formation in 1971 up to 1975.
Their Greatest Hits (1971–1975) reached number one on the US Billboard 200, where it stayed for five weeks. «One of These Nights» and «Best of My Love» both topped the Billboard Hot 100. The album has the distinction of being the first album to receive the RIAA Platinum certification, which was introduced in 1976 to recognize albums that shipped one million copies in the United States. It was ranked number four on the Billboard year-end album chart of 1976 and has spent a total of 239 weeks on the Billboard 200 as of August 2018.

Their Greatest Hits (1971–1975) was the best-selling album of the 20th century in the United States, and it stayed the best-selling album in the U.S. for some years until it was surpassed by Michael Jacksons Thriller after the artists death in 2009.[1] In August 2018, it regained the title of the best-selling album in the U.S.; In 2017, it was selected for preservation in the National Recording Registry by the Library of Congress as being «culturally, historically, or artistically significant».

Personnel
Eagles
Glenn Frey – guitars, vocals; piano
Bernie Leadon – guitars, backing vocals; banjo, pedal steel, mandolin
Randy Meisner – bass guitar, vocals
Don Henley – drums, vocals
Don Felder – guitars on «Lyin Eyes», «Already Gone», «One of These Nights», and «Take It to the Limit»