2 Evaluate the following integrals, the contour C being taken in counter-cbckwise sense 22 +1 (a) Rz+1) dz; C: |2| =1 dz; C: |2| =3 (b) ¿(z-1)(z- 2) cOS RZ () dz, Cthe rectangle with vertices 2ti, -2ti

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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2 Evaluate the following integrals, the contour C being taken in counter-cbckwise sense
22 +1
(a) Rz+1)
dz; C: |2| =1
dz; C: |2| =3
(b)
¿(z-1)(z- 2)
cOS RZ
() dz, Cthe rectangle with vertices 2ti, -2ti
Transcribed Image Text:2 Evaluate the following integrals, the contour C being taken in counter-cbckwise sense 22 +1 (a) Rz+1) dz; C: |2| =1 dz; C: |2| =3 (b) ¿(z-1)(z- 2) cOS RZ () dz, Cthe rectangle with vertices 2ti, -2ti
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