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Factorial function/Fac (x) equals integral 0 to 1 (-ln t)^x/Exercise
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Prove that for the factorial function the relationship
Fac
x
=
∫
0
1
(
−
ln
t
)
x
d
t
{\displaystyle {}\operatorname {Fac} \,x=\int _{0}^{1}(-\ln t)^{x}dt\,}
holds.
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