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I=∫0e1−ln(x) dx\large I = \int_{0}^{e} \sqrt{1-\ln(x)} \ dxI=∫0e1−ln(x) dx
If the above integral can be expressed in the form AeBπCAe^{B}\pi^{C}AeBπC for rational numbers AAA, BBB, and CCC, find A+B+CA+B+CA+B+C.
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