[Ibrîniðilpathânezel]

That song was written for the movies and appears nowhere in the books. There is a song that Galadriel sings in the chapter "Farewell to Lórien" that has some similar emotional themes, but they are not the same. Tolkien's songs are throughout both LotR and the Hobbit, but only in verse form. During Tolkien's lifetime, a composer named Donald Swann set a number of them to music in a song cycle called The Road Goes Ever On, which is still in print. The setting for "Namarië" was based around Tolkien's own rendering of the tune (which strongly resembles Gregorian chant). Many other songwriters (myself included) have written settings for Tolkien's verses, but there is no single compendium of available recordings that I am aware of.