Evaluate the contour integral

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Reference no: EM13915320

1. Evaluate ∫cf(z)dz where f(z) =    and C is the path from z= -1-I to z = 1+I along the curve y = x3.

2. Evaluate ∫c zmz-n dz where m & n are integers and C is the full unit circle centered at the origin taken counterclockwise.

3. Evaluate the contour integral ∫c f(z)dz where the function f(z) is:

a) 1/z2+4 b) 1/(z2+4)2 and C is the circle |z-i| = 2.

4. Evaluate ∫c zmz-n dz where m & n are integers and C is the a quardrant of the full unit circle centred at the origin taken counterclockwise and joining 1 & the complex number "i".

Reference no: EM13915320

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