Question

Integrate around C, where C is the positively oriented contour |z|=5

\[\int_C \frac{e^{1/z}(4z^3-3)}{z(z^3+1)}\]

Answer 1

my plan is to find the singular points, and hopefully they will all be within C.

Answer 2

I get z=0, z=-1, but I am not exactly sure on what the other two singular points are.

Answer 3

nevermind I figured it out. just messed up finding the third roots of -1