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Mathematics
Mathematics
Problem
For what real values of
k
k
k
does the improper integral
∫
1
∞
x
k
x
4
+
7
d
x
\int_{1}^{\infty} \frac{x^{k}}{x^{4}+7}\,dx
∫
1
∞
x
4
+
7
x
k
d
x
converge?
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