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
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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.
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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