Problem 5 Show that the integral I given by I = [° 3² (x) dx 9 a < 0
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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Correct and hand written solution please.
![Problem 5
Show that the integral I given by
I *8² (x) dx
=
2
a < 0 <b
is not well-defined.
Hint: Use the definition of the Dirac-delta function 8(x) and construct a se-
quence of integrals In converging to I.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa30864a6-c7f7-4c5b-afe8-6631febea0a0%2F56d1c312-1d37-4f5c-9d8d-490cec1f9912%2Ffnpvbjl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 5
Show that the integral I given by
I *8² (x) dx
=
2
a < 0 <b
is not well-defined.
Hint: Use the definition of the Dirac-delta function 8(x) and construct a se-
quence of integrals In converging to I.
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