3. Evaluate the following integrals, using the residue theorem. (a) f. sin z dz (e) £ 1 dz (c) dz Iz|=1 28 |z-1|=1 |2|=2 COS z (b) . ez dz 1 (4) f. zp Izl=1 sin z (f) £ tan z dz Izl=2 Iz-1/2|=3/2 Only question b and c plz
3. Evaluate the following integrals, using the residue theorem. (a) f. sin z dz (e) £ 1 dz (c) dz Iz|=1 28 |z-1|=1 |2|=2 COS z (b) . ez dz 1 (4) f. zp Izl=1 sin z (f) £ tan z dz Izl=2 Iz-1/2|=3/2 Only question b and c plz
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![3. Evaluate the following integrals, using the residue theorem.
(a)
Iz|=1
sin z
dz
(c)
zl=2 COS Z
(e) f.
1
dz
dz
28
1
Iz-1|=1
tan z
dz
(b) ¢
Izl=2
dz
1
(f)
Iz-1/2|=3/2
22
(d)
dz
sin z
2|=1
Only question b and c plz](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5dc6d767-2b0e-4906-ac41-d8456ef1ed2e%2Fdd09bd7f-5983-42de-8b6b-135be0c435cd%2Fa4pao5s_processed.png&w=3840&q=75)
Transcribed Image Text:3. Evaluate the following integrals, using the residue theorem.
(a)
Iz|=1
sin z
dz
(c)
zl=2 COS Z
(e) f.
1
dz
dz
28
1
Iz-1|=1
tan z
dz
(b) ¢
Izl=2
dz
1
(f)
Iz-1/2|=3/2
22
(d)
dz
sin z
2|=1
Only question b and c plz
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