# Simple Integral 1

Calculus Level pending

$\large \int_{-1}^1 \dfrac{\partial}{\partial x} \left(\dfrac1{1+e^\frac1x}\right)~dx$

If the above integral can be expressed as $$\dfrac {A+Be}{C+De^E}$$, where $$A$$, $$B$$, $$C$$, $$D$$ and $$E$$ are integers, with least values, also $$A>0$$ and $$e$$ is the Napier's constant. Find $$A+B+C+D+E$$

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