*Pukes Mathematically II

Calculus Level 4

I=0e1ln(x) dx\large I = \int_{0}^{e} \sqrt{1-\ln(x)} \ dx

If the above integral can be expressed in the form AeBπCAe^{B}\pi^{C} for rational numbers AA, BB, and CC, find A+B+CA+B+C.

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