The Temper Trap's new self-titled album is out now, and the band is so excited to be out on the road behind some new music that when they showed up on 'The Late Show With David Letterman' on June 7, they decided to stick around long enough to perform a full 'Live on Letterman' concert.

You can watch the entire 48-minute clip below, featuring one of the band's first U.S. appearances since the American release of 'The Temper Trap' on Tuesday (June 5). The album has already topped the charts in the Temper Trap's native Australia and broken the Top 20 in the U.K.

If you still want more after you're finished watching the show, 'The Temper Trap' is currently streaming at Rolling Stone -- and you can read our own enthusiastic review of the new album right here.

Watch the Temper Trap on 'Live on Letterman'