Evaluate the following integrals, where in each case y is the unit circle taken once anticlockwise. (Standard results may be quoted without proof.) (i) [|z|dz (ii) L cos(1/2) dz; (iii) z +31² dz; (iv) L exp(22) tan z dz; dz. z(x+4)

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.5PS
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Evaluate the following integrals, where in each case y is the unit circle taken once
anticlockwise. (Standard results may be quoted without proof.)
(i) [|z|dz
(ii) L
cos(1/2)
dz;
(iii) z +31² dz;
(iv)
L
exp(22)
tan z dz;
dz.
z(x+4)
Transcribed Image Text:Evaluate the following integrals, where in each case y is the unit circle taken once anticlockwise. (Standard results may be quoted without proof.) (i) [|z|dz (ii) L cos(1/2) dz; (iii) z +31² dz; (iv) L exp(22) tan z dz; dz. z(x+4)
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