4.37. Suppose f(z) and g(z) are integrable. Prove that (a) [f(z) dz= - [ƒ(2) d² b [f(z) dz, (b) [(2f(z)-3ig(z)) dz = 2 (b) (2f (2) -3ig(2)) dz = 2 f(z) dz-3i g(2) a 2 [ f(z)dz - 31 [ 8(2) dz. с с
4.37. Suppose f(z) and g(z) are integrable. Prove that (a) [f(z) dz= - [ƒ(2) d² b [f(z) dz, (b) [(2f(z)-3ig(z)) dz = 2 (b) (2f (2) -3ig(2)) dz = 2 f(z) dz-3i g(2) a 2 [ f(z)dz - 31 [ 8(2) dz. с с
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 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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![4.37. Suppose f(z) and g(z) are integrable. Prove that
b
(a) f(2) dz
= − [ƒ‹0) dz
[f(z) dz, (b)|(2f(z) – 3ig(z)} dz = 2
с
3i [g(2) dz.
C
1-2 Fortale
f(z)dz -3i](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa616a69b-0502-42e8-8723-061056d62c4a%2F7e2f9ffd-ed80-481a-88b2-781bb4b675cb%2F1jc065l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4.37. Suppose f(z) and g(z) are integrable. Prove that
b
(a) f(2) dz
= − [ƒ‹0) dz
[f(z) dz, (b)|(2f(z) – 3ig(z)} dz = 2
с
3i [g(2) dz.
C
1-2 Fortale
f(z)dz -3i
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