# Rub-a-dub-dub, Find A Quick Sub

Calculus Level 1

$\large \int_e^{2e} \dfrac{dz}{\ln(z^z) }$

If the value of the integral above is in the form of $$\ln(\ln A + B)$$, where $$A$$ and $$B$$ are non-negative integers, find $$A+B$$.

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