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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 45E
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I included exercise4.

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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