Evaluating an Integral With Constant C & E

[asw989]

I need to evaluate the integral of:

1/(E-Cx^4)^(1/2) from x₀ to x.


Both C and E are constants.


I've been looking for an appropriate substitution or maybe something along the lines of inverse trigonometric substitution but everything I think of runs into a dead end.

Help would be much appreciated.

 

[CompuChip]

What do you know about elliptic integrals of the first kind?
Because doing your integral with Mathematica gives me one in the result.