1. The problem statement, all variables and given/known data I'm looking at integrals about the unit circle and need to show that they equal 0. integral[e^zdz/(z-2)] integral(sinz/zdz) integral[sinhz/(z^2+2z+2)dz] My thoughts on showing these is using series. Is this the right idea? Also I'm looking at a couple of integrals and will be evaluating along any curve joining the end points of integration. integral(cosh3zdz) from -1 to i series expansion? integral(z^3-iz)dz from -R to R This just confuses me with the R's. Is this just a normal integral, but converting z to x+iy?