*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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