Denote by Log(2) the principal branch of the complex logarithm, and let +y be as in Exercise 4. Compute Log(z) dz. +y (z + i)3

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Denote by Log(z) the principal branch of the complex logarithm, and let +y be as in
Exercise 4. Compute
Log(z)
dz.
+y
(z + i)3
Transcribed Image Text:Denote by Log(z) the principal branch of the complex logarithm, and let +y be as in Exercise 4. Compute Log(z) dz. +y (z + i)3
Let p.v. z1/2 denote the principal branch of the complex square root. Compute
p.v. 21/2
dz,
z +i
where y is parametrized by 2(t) = -i+zet, t e [0, 27].
Transcribed Image Text:Let p.v. z1/2 denote the principal branch of the complex square root. Compute p.v. 21/2 dz, z +i where y is parametrized by 2(t) = -i+zet, t e [0, 27].
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