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Mathematics
Mathematics
Problem
Evaluate the improper integral
∫
0
∞
1
(
x
+
1
)
x
d
x
\displaystyle \int_{0}^{\infty} \frac{1}{(x+1)\sqrt{x}}\,dx
∫
0
∞
(
x
+
1
)
x
1
d
x
or determine that it diverges.
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