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8. Compute the integral fe fdz using the contour (always counter-clockwise) given (a) f = x-2xyi; C = {y = x²,0 ≤ x ≤ 1} U {y = 1,-1 ≤ x ≤ 1}; (b) f = z²; C: square with vertices z = 0, z = 1, z = 1+ i and z= i; (c) f = Log(z); C = {|z| = 1, Re(2) ≥ 0}

8. Compute the integral fe fdz using the contour (always counter-clockwise) given (a) f = x-2xyi; C = {y = x²,0 ≤ x ≤ 1} U {y = 1,-1 ≤ x ≤ 1}; (b) f = z²; C: square with vertices z = 0, z = 1, z = 1+ i and z= i; (c) f = Log(z); C = {|z| = 1, Re(2) ≥ 0}

Advanced Engineering Mathematics
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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8. Compute the integral fc fdz using the contour (always counter-clockwise) given (a) f = x - 2xyi; C = {y = x²,0 ≤ x ≤ 1} U {y = 1,-1 ≤ x ≤ 1}; (b) f = ²; C: square with vertices z = 0, z = 1, z = 1+ i and z = i; (c) f= Log(z); C = {|z| = 1, Re(2) ≥ 0}
Transcribed Image Text:8. Compute the integral fc fdz using the contour (always counter-clockwise) given (a) f = x - 2xyi; C = {y = x²,0 ≤ x ≤ 1} U {y = 1,-1 ≤ x ≤ 1}; (b) f = ²; C: square with vertices z = 0, z = 1, z = 1+ i and z = i; (c) f= Log(z); C = {|z| = 1, Re(2) ≥ 0}
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