If γ = β + [4π, 0] where β(t) = teit for 0 ≤ t ≤ 4π, evaluate the integral ∫γ (z 2 + 1) (z + 1)-1 (z + 4)-1dz
![If γ = β + [4π, 0] where β(t) = teit for 0 ≤ t ≤ 4π, evaluate the integral ∫γ (z 2 + 1) (z + 1)-1 (z + 4)-1dz](https://www.doubtrix.com/uploads/editor/0906089512iaTfXHPjoB.png)
complex analysis contour intergral
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![Evaluate (a) ∫|z|=1 √9 - z 2dz; (b) ∫|z|=2 (z + 1) -2e zdz; (c) ∫|z-2i|=2 (z - i) -3arcsin zdz; (d) ∫|z|=2 z 3 (z - 1) -4dz; (e) let γ = [-1,1 + i] + β + [-1 + i, 1] where β(t) = i + e it for 0 ≤ t ≤ 3π. compute ∫γ (z 2 + 1) -1dz](https://www.doubtrix.com/uploads/editor/6298649884dwBmURiWXa.png)
![(10 pts) Let γ = [1, 2] + α + [2i, i] − β where α(t) = 2e it, and β(t) = e it for 0 ≤ t ≤ 5π/2. Decide if γ ∼ 0 in the following sets. (a) C∖[0, 1/2]; (b) C∖{2 1/3 + i2 1/3}](https://www.doubtrix.com/uploads/editor/3901307297GzbIaMWcbY.png)