![[Graphics:Images/ContourIntegralMod_gr_166.gif]](../Images/ContourIntegralMod_gr_166.gif){kind=small}
where
C is a the upper semicircle with
radius 1 centered
at ![[Graphics:Images/ContourIntegralMod_gr_167.gif]](../Images/ContourIntegralMod_gr_167.gif){kind=small}
. Example
6.8. Evaluate the contour
integral where
C is a the upper semicircle with
radius 1 centered
at .
![[Graphics:Images/ContourIntegralMod_gr_168.gif]](../Images/ContourIntegralMod_gr_168.gif)
Explore Solution 6.8.
Enter the function ![[Graphics:../Images/ContourIntegralMod_gr_175.gif]](../Images/ContourIntegralMod_gr_175.gif){kind=small}
and
set up the parameterization and compute the contour integral.
![[Graphics:../Images/ContourIntegralMod_gr_176.gif]](../Images/ContourIntegralMod_gr_176.gif)
![[Graphics:../Images/ContourIntegralMod_gr_177.gif]](../Images/ContourIntegralMod_gr_177.gif)
![[Graphics:../Images/ContourIntegralMod_gr_178.gif]](../Images/ContourIntegralMod_gr_178.gif)
![[Graphics:../Images/ContourIntegralMod_gr_179.gif]](../Images/ContourIntegralMod_gr_179.gif)