20.2. Let C be the circle |z – i| = 3 integrated in the positive sense. Find the value of each of the following integrals using the CIF or the derivative formula (19.10): ez sinh z dz (a) dz. 22 + 72 (c) £. (22 + 72)2 dz.
20.2. Let C be the circle |z – i| = 3 integrated in the positive sense. Find the value of each of the following integrals using the CIF or the derivative formula (19.10): ez sinh z dz (a) dz. 22 + 72 (c) £. (22 + 72)2 dz.
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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The question is about complex
Please solve sections a, b and c.
Transcribed Image Text:20.2. Let C be the circle |z – i| = 3 integrated in the positive sense. Find
the value of each of the following integrals using the CIF or the derivative
formula (19.10):
-
sinh z
dz.
(b) PTz? + T?)²
2² +T2)²
ez
dz
(a)
dz.
22 + 72
(c)
z2 + 9
z² – 3z + 4
dz.
4z + 3
dz
cosh z
(d) P. Tz2 +9)² '
(e) P.
dz.
z² + 72)³
(f)
22
C
-
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