Evaluate the contour integral. (complexanalysis)a)1dz(z – 1)3where C is the semicircle |z – 1| = 1, Im z >0 from z = 0 to z = 2b)sin? z dzwhere C is the right half of the ellipse |z – i|+|z+i| = 6 from z = -3i to z = 3i

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Answered: Evaluate the contour integral. (complex…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Evaluate the contour integral. (complex analysis) a) 1 dz where C is the semicircle |z – 1| = 1, Im z > 0 from z = 0 to z = 2 (z – 1)3