I have a homework question that reads:(adsbygoogle = window.adsbygoogle || []).push({});

Represent the following rational functions as sums of elementary fractions and find the primitive functions ( indefinite integrals );

(a) f(z)=z-2/z^2+1

But my confusion arrises when I read sums of elementary fractions.

I think what the question is asking is, show that it is holomorphic, in order to use the property g'(z)=f(z).

Could someone clarify this maybe?

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# Complex Analysis: Sums of elementary fractions

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