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The function F(x)=int 0^xlog((1-x)/(1+x)...

The function `F(x)=int _0^xlog((1-x)/(1+x))dx` is

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`f(x)=int_0^2 log((1-x)/(1+x))dx`
`=xlog(1-x)/(1+x)+2int_0^x x/(1-x^2) dx`
`=xlog(1-x)/(1+x)-(log|1-x^2|)_0^x`
`f(x)=xlog(1-x)/(1+x)-log|1-x^2|`
`f(-x)=-xlog(1+x)/(1-x)-log|1-x^2|`
`=xlog(1-x)/(1+x)-log|1-x^2|`
`=f(x)`
f(X) is even
...
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