n=18 (n³+5) a. To perform the Integral Test, one should calculate the following improper integral. If the integral is finite, enter the number. Otherwise, enter -∞ or if the integral is infinite, or enter DNE if the integral does not exist in another way. S ∞ ²³ 18 dx = 9 (x³ + 5) b. By the Integral Test, the infinite series converges 3 2
n=18 (n³+5) a. To perform the Integral Test, one should calculate the following improper integral. If the integral is finite, enter the number. Otherwise, enter -∞ or if the integral is infinite, or enter DNE if the integral does not exist in another way. S ∞ ²³ 18 dx = 9 (x³ + 5) b. By the Integral Test, the infinite series converges 3 2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Use the Integral Test to determine whether the infinite series is convergent.
∞
a. To perform the Integral Test, one should calculate the following improper integral. If the integral is
finite, enter the number. Otherwise, enter -∞ or if the integral is infinite, or enter DNE if the integral
does not exist in another way.
r2
18
X
N|W|
3
dx
=
n=18 (n³+5)
Lalo
√2
2
n'
9
(x³ + 5)
b. By the Integral Test, the infinite series converges
3
2
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