I need to find the partial fraction expansion of the integrand z/[(z-2i)(z+i)](adsbygoogle = window.adsbygoogle || []).push({});

Just doing 1/(z-2i) + 1/(z+i) results in (2z-i)/(z-2i)(z+i).

It seems easy, but I can't figure out what to multiply by to get the correct numerator.

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# Partial fraction of integrand

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