Compute the value of the following improper integral. (If it diverges, enter oo if it diverges to infinity, -oo if it diverges to negative infinity, or DNE if it diverges for some other reason.) Hint: Integrate by parts. S. 4 In(x) dx x4 What does the value of the improper integral tell use about the convergence of the 4 In(n) series > n4 n=1 O the series diverges O the series converges O the Integral Test does not apply

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Compute the value of the following improper integral. (If it diverges, enter oo if it
diverges to infinity, -oo if it diverges to negative infinity, or DNE if it diverges for some
other reason.) Hint: Integrate by parts.
* 4 In(x)
-d.x
x4
What does the value of the improper integral tell use about the convergence of the
Σ
4 ln(n)
-?
n4
series )
n=1
the series diverges
O the series converges
O the Integral Test does not apply
Transcribed Image Text:Compute the value of the following improper integral. (If it diverges, enter oo if it diverges to infinity, -oo if it diverges to negative infinity, or DNE if it diverges for some other reason.) Hint: Integrate by parts. * 4 In(x) -d.x x4 What does the value of the improper integral tell use about the convergence of the Σ 4 ln(n) -? n4 series ) n=1 the series diverges O the series converges O the Integral Test does not apply
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