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

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
complex analysis contour integral

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  1. (20 pts) Evaluate
    (a) | z | = 1 9 z 2 d z ;
    (b) | z | = 2 ( z + 1 ) 2 e z d z ;
    (c) | z 2 i | = 2 ( z i ) 3 Arcsin z d z ;
    (d) | z | = 2 z 3 ( z 1 ) 4 d z ;
    (e) Let γ = [ 1 , 1 + i ] + β + [ 1 + i , 1 ] where β ( t ) = i + e i t for 0 t
    3 π . Compute γ ( z 2 + 1 ) 1 d z ;

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