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**Im doing some complex variable "counter integration" problems and this one came up.**

[itex]I = \oint e ^{\frac{z}{\overline{z}}}dz[/itex]

**the integral must be done over a circle with radio r**

My first attempt was to do it in the exponetial form, so we have this:

[itex]\frac{z}{\overline{z}} = e^{2i\theta} [/itex]

but when i do so, i get an e to the power e to the power something and i start getting some long equation so i figure out, there must be an easier way to solve the problem. Hope someone can give me a hand. =D

PS: sorry for my english, it´s my second language!