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Quick Cauchy's Int Formula question watch

1. Say I had a circle defined as , say. Then would this qualify as a positively oriented contour and would I be able to apply CIF directly? (I assumed it would, but I'm having doubts, hence the silly question)
2. Well that would be the image of a contour; the orientation depends upon what parametrisation you use. [But to answer your question, yes... provided you parametrise it right.]
3. (Original post by nuodai)
Well that would be the image of a contour; the orientation depends upon what parametrisation you use. [But to answer your question, yes... provided you parametrise it right.]
I had an attempt with but the integrand is and it soon gets rather convoluted... most notably the annoying .

I should clarify that the circle used here is
4. What's the actual question? I have an inkling that this isn't actually a CIF question. [But it might be.] Are you trying to find , where C is your circle?
5. (Original post by nuodai)
What's the actual question? I have an inkling that this isn't actually a CIF question. [But it might be.] Are you trying to find , where C is your circle?
Yep, exactly that.
6. So use the 2nd formula here: http://en.wikipedia.org/wiki/Cauchy%...tegral_formula

you don't need to parameterize the contour at all.

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