The Departure of Boromir
The Departure of Boromir is the first chapter of the third book in The Two Towers.
The camp is attacked by a band of Orcs and Boromir is killed. Before he breathes his last breath, Boromir tells Aragorn that the Orcs have carried off the other Hobbits. The remaining members of the party search through the bodies of dead Orcs and find many weapons. They put Boromir's body on a raft and set it out to sail, having no time for any other kind of funeral.
Aragorn tells Gimli and Legolas that he thinks Frodo and Sam have gone alone to Mordor and that they themselves should follow the Orcs and not Frodo. So saying, these adventurers continues on their journey, travelling in search of their missing companions.