It's been a while since I did integrals, and i'm having trouble with this problem.

∫√( (2t)^2 + (t^-2) + (4) ) And the integral goes from 1 to e

Is there an easier way I can simplify the stuff under the square root, in order to make this less messy? Or do I have to go straight to substitution? And if so, whats the best way to start? Thanks for your time.