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].

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.2: Complex Numbers And Quaternions
Problem 45E
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(P.V. stands for principal value)

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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