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Evaluate the following contour integrals. Draw the curve and singular points in the complex plane.
∫|z|²dz and ∫ 1/z²dz
where the contour C is (a) the line segment with initial point -1 and final point i; (b) the arc of the unit circle Im z≥ 0 with initial point -1 and final point i. Compare the results.

Sagot :

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