Answer to Question #72267 in Complex Analysis for Lastone

Question #72267
Evaluate the following integrals
1. ∫
C
z
2
z
2 + 2z + 2
where C is the circle |z| = 2.
2. ∫
C
Ln(1−z)dz, where C is the parallelogram with vertices ±i, ±(1+i).
3. ∫ 2π
0
1
1 + 3 cos θ
dθ.
4. ∫
C
z
2
z
4 − 1
dz. where C is the circle |z + 1| = 1
5. ∫
C
e
z
π − i
dz. where C is the unit circle
1
Expert's answer
2018-01-04T04:10:18-0500
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