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08/25/08 04:28am

I'm trying to obtain the following definite integral.

Definite integral from 0 to 1 of:

x/(1+x)^3 K(x^2) dx

,where K(x) is the first kind of complete elliptic integral.

By calculating numerically, it seems 3*pi^2/128.

Is there any formula of integration of K(x) involving rational function?

Thank you,

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