Thread: Path Integral in the Complex Plane

Hi,

I am trying to take a path integral in the complex plane of

sin(z)/[(z^2)*((z^2)+4)]

over the positively oriented circle of radius 1 centered at the origin. I thought that I was supposed to plug in z=e^(it) for z, multiply by its derivative and then integrate but I am having trouble integrating it. Am I doing it wrong?

Thanks,

grod

Originally Posted by grod

Hi,

I am trying to take a path integral in the complex plane of

sin(z)/[(z^2)*((z^2)+4)]

over the positively oriented circle of radius 1 centered at the origin. I thought that I was supposed to plug in z=e^(it) for z, multiply by its derivative and then integrate but I am having trouble integrating it. Am I doing it wrong?

Thanks,

grod

I expect you need to put t = 0 and t = 2pi as your limits of integration...

right, other than that am I approaching the problem correctly?