3. Using Residue theorem evaluate the following integrals 1+z (a) Sc dz, where c is the unit circle. z(2-z) 1 (b) Sc -dz, where c |z| = 4. z²(ez-e-z)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.
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3. Using Residue theorem evaluate the following integrals
1+z
(a) S.
dz, where c is the unit circle.
z(2-z)
1
(b) ſ.
dz, where c : |z| = 4.
z2(ez-e-2)
Transcribed Image Text:3. Using Residue theorem evaluate the following integrals 1+z (a) S. dz, where c is the unit circle. z(2-z) 1 (b) ſ. dz, where c : |z| = 4. z2(ez-e-2)
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