I'm supposed to integrate this:

(x^5)cos(x^3)

I understand to make u = x^5 in order to try and eliminate it, but that forces me to make dv = cos(x^3), which I am at a complete loss as to its integral. I snooped around on the net, and from some of my readings, it seems as though it requires a math program to do so(atleast the definite integral). My Ti-89 is of no help, so I come here...

Please help, any bit of insight would be greatly appreciated...