Complex Analysis (3 problems)


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Evaluate the integral

for

(a)

(b)

(c)

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Evaluate the complex integral of the function f(z) = 1/(z^3+1)on the curve C, which corresponds to the arc of radius R that goes from theta = 0 to theta = pi/3.

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Evaluate the integral

where C is the parametrized unit circle and

a) .

b) .

c)

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