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Let f(2) = zi+ (z – 7) Part (a) Integrate the function f(2)along the curve C given by z= B +iftrom z=1+ lto z= 8+ 4i

Let f(2) = zi+ (z – 7) Part (a) Integrate the function f(2)along the curve C given by z= B +iftrom z=1+ lto z= 8+ 4i

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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Let f(2) = zi + (z – 7) Part (a) Integrate the function f(2)along the curve C given by z= B+itfrom z=1+ lio z= 8+ 4i Part (b) Integrate the same function along the line from 0 to 9i, then along the line from 9i to 9 + 9i, then finally along the line from 9 + 9i to 0. Note that you are evaluating the integral on a triangular loop. Part (c) Integrate the function f(2)on the circle that goes through 0, 9i, and 9 + 9i. Are the integrals in Part (b) and Part (c) equal?
Transcribed Image Text:Let f(2) = zi + (z – 7) Part (a) Integrate the function f(2)along the curve C given by z= B+itfrom z=1+ lio z= 8+ 4i Part (b) Integrate the same function along the line from 0 to 9i, then along the line from 9i to 9 + 9i, then finally along the line from 9 + 9i to 0. Note that you are evaluating the integral on a triangular loop. Part (c) Integrate the function f(2)on the circle that goes through 0, 9i, and 9 + 9i. Are the integrals in Part (b) and Part (c) equal?
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