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## Homework Statement

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?