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1. The problem statement, all variables and given/known data

[tex]\int\limits_0^{ + \infty } {\frac{{dt}}{{{e^{st}} \cdot (1 + {e^t})}}} [/tex]

2. Relevant equations

The same as...

[tex]Laplace\left[ {\frac{1}{{1 + {e^t}}}} \right][/tex]

3. The attempt at a solution

Found no elegant properties related to Laplace transform here.

So figured my best shot would be to integrate directly...

Any suggestions?

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# Homework Help: Integral (related to Laplace transform)

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