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Mathematics
Mathematics
Problem
Find the exact 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
2
-\dfrac{1}{2}
−
2
1
b)
1
e
\dfrac{1}{e}
e
1
c)
1
2
\dfrac{1}{2}
2
1
d) 1
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