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power series representations

Evaluate the following integrals:

a). integral over gamma of e^(iz) / z^2 dz, where gamma(t) = e^(it), 0=<t=<2 pi
( e here is exponential function).
Please use basic definitions and power series representation of analytic functions to do so.

b). integral over gamma of sin(z)/z^3 dz ( same gamma and values of t as above)

Solution Summary

This shows how to evaluate to integrals over gamma (power series representations)