# *Pukes Mathematically II

Calculus Level 4

$\large I = \int_{0}^{e} \sqrt{1-\ln(x)} \ dx$

If the above integral can be expressed in the form $$Ae^{B}\pi^{C}$$ for rational numbers $$A$$, $$B$$, and $$C$$, find $$A+B+C$$.

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