I have a function in the following form.
$$P = \frac{K_1}{2} U\left[\sqrt{\frac{2K_1}{K_2 U^2} + 1} +1\right]$$
where $P =\dfrac{dE}{dt}$ and $U =\dfrac{dS}{dt}$
I want to find energy $E$ required to travel distance $S$.
If I integrate both sides with respect to $dt$ I think i will get what I want. but how to do it ?
Can anyone point this out to me ?
Thanks
PS : This is not a homework problem. I'm just a curious old man who is not good at maths.