Why Do Complete Elliptic Integrals Challenge Many Learners?

[endoparasite]

Integration "sucks" Please help me !

This question is making me crazy .
Can anyone solve this for me?https://www.physicsforums.com/attachment.php?attachmentid=29618&d=1288868107

 

[JJacquelin]

Hello !
no answer with a finite combination of usual functions. It's an elliptic integral. See :
http://mathworld.wolfram.com/EllipticIntegraloftheSecondKind.html

 

[g_edgar]

Maybe the + sign was supposed to be a - sign instead...

 

[bjteoh]

The answer is 2*sqrt(2)*EllipticE((1/2)*sqrt(2)) where EllipticE(x) is complete elliptic integrals of the second kind

 

[physeven]

a elliptic integral. learn what complete elliptic integrals are first and then attempt this problem.