Recent content by brandones

Homework Statement Integrate: \int \frac{1}{(3+2cos(θ))} dθ evaluated from zero to pi. Homework Equations I can't think of any. All of the integration formulas in the text rely on the existence of a singularity somewhere in the complex plane. This thing is analytic everywhere...

Oh wait, I just went a really roundabout way of defining the residue, didn't I? Well, now it seems totally obvious. Hooray!

Homework Statement Calculate \stackrel{Res}{z=0}(\frac{z^5}{(z^2-4)(z-4))} Homework Equations I've learned enough Latex for one day, thank you very much. Wikipedia: http://en.wikipedia.org/wiki/Residue_theorem http://en.wikipedia.org/wiki/Cauchy%27s_integral_formula The...