Re: help with an integral which looks similar to elliptic integrals.


len wrote:

The form is reminiscent of elliptic integrals, but it doesn't seem
quite close enough to
evaluate easily...

If you substitute z = exp(ix), then the integral becomes algebraic.
Hiwever, in general the genus is greater than 1, and you don't get
elliptic integrals. Instead, you've wandered into the world of
algebraic functions and compact Riemann surfaces. What do you want the
integral for? You may want to avoid getting into deeper waters here.

.