Let C=C1UC2 where C1 and C2 are respectively the smaller arcs of the circles |z-i|=1 and |z-1|=1 joining the points z1=0+0i and z2=1+i

By using the definition of a contour integral evaluate

Attachment 27790

Printable View

- April 3rd 2013, 06:38 PMcheesecake91Complex Variables: Contour Integral
Let C=C1UC2 where C1 and C2 are respectively the smaller arcs of the circles |z-i|=1 and |z-1|=1 joining the points z1=0+0i and z2=1+i

By using the definition of a contour integral evaluate

Attachment 27790 - April 3rd 2013, 06:51 PMSworDRe: Complex Variables: Contour Integral
This is a closed path isn't it? Unless I misunderstood the question and it isn't, the integral will be 0 by Cauchy's integral theorem.

- April 3rd 2013, 08:32 PMcheesecake91Re: Complex Variables: Contour Integral
Yes but I'm not sure how to parametrize the curves in order to solve it by integrating directly

- April 4th 2013, 02:57 AMRuunRe: Complex Variables: Contour Integral
First of all draw a picture to see what looks like, it is crucial when doing this kind of integrals.