Complex conjugate integration

1. Oct 4, 2008

hoffmann

i was thinking this over, and i'd like to know if the following statement is valid:

$$\oint\overline{z}dz$$ = $$\oint1/zdz$$

over the contour $$\left|z\right|=1$$

any thoughts?

2. Oct 5, 2008

lurflurf

That is obviously true and then some.
In fact z*=z^-1 whenever |z|=1