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Contour Integrals

Does anyone know how to start question 5? All we know is that its a half circle from i to -i

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You need a parametrization of the unit circle which takes you from -i to i in the right direction. And in fact, it looks like they've given you a possible starting point in the previous question.

Reply 2

davros

Original post by CammieInfinity

Does anyone know how to start question 5? All we know is that its a half circle from i to -i

If I read Q5 correctly, it wants you to evaluate the integral for two different contours C. The first variation should be a straightforward parameterisation of the imaginary axis, and the second variation requires a similar technique to that in the preceding question.

(If you look in any standard complex analysis textbook you should find numerous examples of parameterising the unit circle!)