Evaluate, using Cauchy's integral formula: sin tz? + cos Tz? () dz where C is the circle |z| = 3 (z– 1)(z – 2) | cOS TTZ di) dz around a rectangle with vertices 2 + - 2+ 1 -1 .2 C

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 27E
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Evaluate, using Cauchy's integral formula:
sin tz + cos TZ²
(1)
dz where C is the circle z| = 3
(z- 1)(z- 2)
C
COS TZ
Gi)
dz around a rectangle with vertices 2 + - 2 +1
z´ -1
C
Transcribed Image Text:Evaluate, using Cauchy's integral formula: sin tz + cos TZ² (1) dz where C is the circle z| = 3 (z- 1)(z- 2) C COS TZ Gi) dz around a rectangle with vertices 2 + - 2 +1 z´ -1 C
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