Hint :So I'm working with the following problem -

After setting u = 2x + 1, and (1/2)du = dx, and x = ((u-1)/2) I end up with

(1/2)integral{((u-1)\2)^{3 }(u)^{(1/3)}du}

After doing that I get lost. What would be the next step? Do I need to make another substitution?

(I can't do (1/4)((u-1)/2)^{4}can I?...)