can the prime really not solve this integral?

[DeucesAx]

I tried solving int(x^3/(e^3-1),x, 0,infinity) (this I ti89 notation, I did not type it like this) on the Prime without success. My nspire does it, even my ti89 does it without a problem. Please tell me this is a user error, otherwise I finally throw the prime out of the window.