Consider the series In(k) k2 a) Enter an integral whose convergence or divergence is equivalent to that of the given series by the Integral Test. To enter the definite integral f(x) dx type defint(f(x), x, a, b). Preview defint(In(x)/x^2,x, 1, infinity) o Ina da Correct. Good Job! b) Compute the value of the integral that you input in part a). If it is divergent, type D. Preview Diverges Not equivalent.

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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Part b
Consider the series
In(k)
k2
a) Enter an integral whose convergence or divergence is equivalent to that of the given
series by the Integral Test. To enter the definite integral f(x) dx type
defint(f(x), x, a, b).
Preview
defint(In(x)/x^2,x, 1, infinity)
Ine da
Correct. Good Job!
b) Compute the value of the integral that you input in part a). If it is divergent, type D.
Preview
Diverges
Not equivalent.
Transcribed Image Text:Consider the series In(k) k2 a) Enter an integral whose convergence or divergence is equivalent to that of the given series by the Integral Test. To enter the definite integral f(x) dx type defint(f(x), x, a, b). Preview defint(In(x)/x^2,x, 1, infinity) Ine da Correct. Good Job! b) Compute the value of the integral that you input in part a). If it is divergent, type D. Preview Diverges Not equivalent.
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