how to solve elliptical Integral using matlab

2013 11 24

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Hi ,

I am trying to evaluate this integral

syms X Y phi
M=(1+cos(phi));
N=(2.*cos(phi)-1)./(4.*Y);
L=sqrt(1+(N.^2));
D=(M.*N)./L;
int=int(D,phi,0,pi)

but i am unable to get the result, the matlab returns

Explicit integral cannot be found. I understand there is singularity , how do i solve the integral. Kindly help.

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