e7iz Let f (z) - and I = dx. Jx2+9 co cos (7x) %3D z2+9 Then Res f(z)\z=3i e-21 Res f(z)\z=3i e-21 6i 12i Tte-21 and I = 3. -21 Tte and I = 6 the above is true the above is true Res f(z)\z=3i e-21 %3D 28i and I = ne-21 14

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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Question
Let f (z) =
e7iz
%3D
z2+9
and I =
cos (7x)
dx.
x2+9
Then
Res f(z)\z=3i
e-21
Res f(z)|z=3i
e-21
6i
12i
ne-21
and I =
3.
-21
пе
and I =
the above is true
the above is true
Res f(z)\z=3i
e-21
%3D
28i
and I
te-21
%D
14
Transcribed Image Text:Let f (z) = e7iz %3D z2+9 and I = cos (7x) dx. x2+9 Then Res f(z)\z=3i e-21 Res f(z)|z=3i e-21 6i 12i ne-21 and I = 3. -21 пе and I = the above is true the above is true Res f(z)\z=3i e-21 %3D 28i and I te-21 %D 14
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