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Mathematics
Mathematics
Problem
Evaluate
I
(
k
)
=
∫
0
1
x
k
−
1
ln
x
d
x
I(k) = \int_{0}^{1} \frac{x^k - 1}{\ln x} dx
I
(
k
)
=
∫
0
1
l
n
x
x
k
−
1
d
x
,
(
k
≥
0
)
(k \ge 0)
(
k
≥
0
)
.
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