Inverse Fourier Transformation of $1- \frac {s^2}{(1+s^2)^2}$

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How to find the Inverse Fourier Transformation of $\frac{1- s^2}{(1+s^2)^2}$ and $\frac{\sin(s)}{s}$?

I know I am supposed to use the table of inverse Fourier but I couldnt really find one that solves this.