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    Power series representation

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    Evaluate the following integrals:

    (a) integral over gamma of (e^z - e^-z)/(z^n) dz, where n is positive integer
    and gamma(t) = e^(it), 0 =< t =< 2 pi

    (b) integral over gamma of (dz/(z^2 + 1) ) where gamma(t) = 2e^(it),
    0 =< t =< 2pi
    ( Hint: expand (z^2 + 1)^-1 by means of partial fractions

    PLEASE USE POWER SERIES REPRESENTATION OF ANALYTIC FUNCTIONS, I only
    want the answer to be done using power series representation of analytic functions.

    © BrainMass Inc. brainmass.com December 15, 2022, 5:00 pm ad1c9bdddf
    https://brainmass.com/math/integrals/power-series-representation-57293

    Solution Summary

    This shows how to perform complex integration using power series representation.

    $2.49

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