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Mathematics
Mathematics
Problem
For any
n
>
1
n > 1
n
>
1
, evaluate the integral
∫
0
∞
1
(
x
+
x
2
+
1
)
n
d
x
.
\int_{0}^{\infty} \frac{1}{(x + \sqrt{x^2 + 1})^n} dx.
∫
0
∞
(
x
+
x
2
+
1
)
n
1
d
x
.
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