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GemmaJ1988

Member

Registered: 2008-10-08

Posts: 39

complex integration

does anyone know how i would solve this integral using cauchys integral formula

Last edited by GemmaJ1988 (2009-05-20 20:07:32)

Kurre

Member

Registered: 2006-07-18

Posts: 280

Re: complex integration

what is the path of integration? 0 to 1 along the real line?
You cant use cauchys integral formula directly since Im(z) is not an analytic function. Altough, if the path of integration is what i just wrote, Im(z) will be zero so the integral must be zero.
if your task is to use cauchys integral formula, you can try write it as:

but im still not sure what you mean by (0;1). for cauchys integral formula to apply you need a loop.

Last edited by Kurre (2009-05-20 21:17:31)