If you mean the one with "Keep on keeping on" - It's "Under Control" by Tim Myers featuring Ben Lee.
You can download it for free from here: https://www.chase.com/online/services/document/forward.htm
The song "Everywhere" is featured in the Chase commercial. This song was released by Michelle Branch in 2001 and was quite popular.
fiest
Sinatra
Steve Winwood
The Cure
John Legend
I believe the version on the commercial is by the band the Tremeloes.
Michelle Branch
I found it, its called ''Break My Stride'' by Matthew Wilder!
Not sure who sings the cover, but the original is 1-2-3 by Len Barry.
The person who sings the song from a recent commercial with the lyrics without you is Alexi Murdoch. The song is called 'All My Days' and it has been featured in films as well.
Everywhere by Michelle Branch. (I know I love it 2!)