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In quantum mechanics, the probability of finding a particle æ in domain (a, b) can
be calculated from the following formula
P(a < # < b) = / Mla
p(x)dr
where the probability density p(a') satisfies p(x) « 1/x for æ e (1, e²) and being 0 elsewhere.
Please determine the exact form of the probability density and calculate the probability of
finding a particle in domain [1, 2).

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