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
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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
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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