# How to compute this inverse Laplace transform ? ccL^(−1){(1)/(s(exp(s)+1))}

How to compute this inverse Laplace transform ?
${\mathcal{L}}^{\mathcal{-}\mathcal{1}}\left\{\frac{1}{s\left(\mathrm{exp}\left(s\right)+1\right)}\right\}$
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Zayne Wagner
Find the Square wave function $\mathbf{s}\mathbf{q}\mathbf{w}\left(x\right)=\left(-1{\right)}^{\mathbf{f}\mathbf{l}\mathbf{o}\mathbf{o}\mathbf{r}\left(x\right)}$ to find out it is a periodic function which is obviously piecewise and by using the L.T. rules we can see that
$\mathcal{L}\left\{\mathbf{s}\mathbf{q}\mathbf{w}\left(x\right)\right\}=\frac{1}{s}\mathrm{tanh}\left(s/2\right)=\frac{{e}^{s}-1}{s\left({e}^{s}+1\right)}$
So since
$\mathcal{L}\left\{1\right\}=\frac{1}{s}$