Let be the square with vertices 0, 1, , traversed counterclockwise. Evaluate

.

I parametrized and then deduced the formula:

. I come up with -1+ as the answer. Please verify, thank you.

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- Apr 2nd 2010, 05:56 PMEudaimoniaComplex contour integration
Let be the square with vertices 0, 1, , traversed counterclockwise. Evaluate

.

I parametrized and then deduced the formula:

. I come up with -1+ as the answer. Please verify, thank you. - Apr 3rd 2010, 12:14 PMOpalg
- Apr 3rd 2010, 04:49 PMdavismj
- Apr 3rd 2010, 05:36 PMEudaimonia
Please correct me if I'm wrong, but I don't think f(z)=|z|^2 is holomorphic at 0, and thus it does not meet that requirement of Cauchy's integral theorem.

- Apr 3rd 2010, 05:43 PMxxp9
- Apr 3rd 2010, 06:21 PMdavismj