Evaluate
\frac{s\left(e^{2\pi s}-1\right)}{\left(s^{2}+1\right)e^{2\pi s}}
Differentiate w.r.t. s
\frac{2\pi s^{3}e^{6\pi s}+s^{2}e^{6\pi s}-s^{2}e^{8\pi s}+2\pi se^{6\pi s}+e^{8\pi s}-e^{6\pi s}}{\left(s^{2}+1\right)^{2}e^{8\pi s}}
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