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Problem
Problem
The value of
∫
0
1
(
∏
r
=
1
n
(
n
+
r
)
)
(
∑
k
=
1
n
1
x
+
k
)
d
x
\int_{0}^{1} \left( \prod_{r=1}^{n} (n+r) \right) \left( \sum_{k=1}^{n} \frac{1}{x+k} \right) dx
∫
0
1
(
∏
r
=
1
n
(
n
+
r
)
)
(
∑
k
=
1
n
x
+
k
1
)
d
x
equals to a.
n
n
n
b.
n
!
n!
n
!
c.
(
n
+
1
)
!
(n+1)!
(
n
+
1
)!
d.
n
⋅
n
!
n \cdot n!
n
⋅
n
!
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