# I like integrals 2

Calculus Level 4

$\large \int_0^1 \dfrac{\ln(1-x) }{e^x} \, dx = - \dfrac A{B e} \sum_{n=1}^\infty \dfrac1{n \cdot n!}$

If the equation above holds true for positive integers $$A$$ and $$B$$, where $$A$$ and $$B$$ are coprime positive integers, find $$A+B$$.

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