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    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)

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    Solution Summary

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