Maple is giving the wrong answer using elliptic integrals.
This is the numeric result using DERIVE. 7.2775009819508996444
In MapleVr5.1 the results were still identical, but since Maple6 they are diﬀerent:
Until now I told my students it is good to use diﬀerent CAS to test if an integral is right. Now I can even tell them use diﬀerent Maple versions to see if the results can be correct ?
It may be related to choice of square-roots...