Question: (Un-)Solvable integral?

Hey everybody!

First of all I want to say hallo, since this is my firstpost in this forum :-).

I really enjoy working with maple, however, I have run into trouble trying to solve an integral for a mean value.

During project work at university, we have to design a water rocket. For the design, it is crucial to know the mean thrust that is produced by the water that is exiting the bottle.

To get a precise answer for the average exhaust velocity, I want to solve the following integral. However, it seems to be impossible, although my ratio tells me that it should indeed be feasible. Can you help me finding out what the problem is? Thanks a lot!

u=sqrt((2(p_1-p_0))/((D_r^4/D_e^4-1)*rho))

All numbers but p_0 are constants, so this is the variable that should be integrated.

Thanks a lot for your help in advance!

Ingo