SURENDRA K. answered 07/19/14
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f(2a/(1+a^2)= log[(1+2a/(1+a^2))/(1-2a/(1+a^2) ]
= log[(1+a^2+2a)/(1+a^2-2a)]
= log[(1+a)^2)/(1-a)^2)]
=log[(1+a)/(1-a)]^2
= 2 log[(1+a)/(1-a)]
Well,I assume that symbols F & f are same in your question.