Two weeks ago, Chris Cornell tantalized Soundgarden fans when he tweeted a 22-second preview of ‘Live to Rise,’ the band’s first new song in 15 years.

Well, the entire tune — nearly four minutes in length — has finally made its way to the Internet, courtesy of a stream on Seattle radio station KISW-FM’s Web site.

Featuring a crunchy guitar riff and Cornell’s always-captivating vocals (even without him having a single howl-at-the-moon moment), ‘Live to Rise’ is part of the soundtrack for the superhero movie ‘Marvel’s The Avengers,’ due in theaters May 4 and starring Jeremy Renner and Scarlett Johansson.

“When the opportunity arose to write an original song for ‘Marvel’s The Avengers’ film came our way, we thought it could be a cool match,” the collective Soundgarden said (perhaps speaking in unison?) in a recent statement. “We are excited to release our new song ‘Live to Rise,’ which is also the only new song in the film.”

In addition to the Soundgarden track, the ‘Avengers Assemble’ album (scheduled to drop May 1) also includes songs by Kasabian, Bush and Stone Temple Pilots frontman Scott Weiland.