What is the value of [ 32² +7z+1dz 2+1 C

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.2: Adding And Subtracting Polynomials
Problem 20OE
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Question

What is the Value of given integral if:

a) C is the circle Iz+iI=1

b) if C is an eclipse x2+2y2=8

What is the value of
322 + 7z +1
z +1
dz
Transcribed Image Text:What is the value of 322 + 7z +1 z +1 dz
Expert Solution
Step 1

Given integral is I=C3z2+7z+1z+1.

(a) The given curve C is the circle z+i=1.

(b) The given curve C is an ellipse x2+2y2=8.

We know that if a function fz is analytic over a closed contour C, then Cfzdz=0.

We know that if C is simple closed contour and fz is analytic except at z0 inside C, then Cfzdz=2πiResfz0.

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