# Complex number integration

I am stuck with a complex integration. Integrand looks like this:
Exp[-2*pi*i*(Rz+s*z)]. Integration is w.r.t z.
Where Rz is function of z, which is little complicated, but for simplicity we can assume z^3.
s is just other variable.
I was trying to do this integration in Mathematica. If I put Z instead of Z^3, then it runs otherwise it keeps running and never gives result.
Is there any other numerical integration method to perform this integration? I guess I can't do it in Simpson method, since this has complex number in it.
Any help is really appreciated.

Thanks
Veena

Do you know contour integration?

Dick
Homework Helper
I think if you are going to pose an integration question you might want to specify the limits of the integration? If you want to integrate along a contour, what contour? If you want an antiderivative, what are R and S?

The limits of integration is 0 -> 4*pi. I guess it is not contour integration. There is no R. It is Rz, which is a function of z and S is another variable. after integration it will come in result.

Thanks
Vn

Dick