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Mathematics
Mathematics
Problem
Determine the value of
∫
1
e
ln
x
x
d
x
\displaystyle \int_{1}^{e} \frac{\ln x}{x}\,dx
∫
1
e
x
ln
x
d
x
. a)
1
1
1
b)
e
−
1
e
\dfrac{e-1}{e}
e
e
−
1
c)
1
2
\dfrac12
2
1
d)
1
4
\dfrac14
4
1
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