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I'm studying the complex integral, I have the following exercise: $\int_{C}\frac{1}{(z+i)^2}dz$, where $C$ is the Jordan curve formed by the union of $y=x^2-2$ and $y=-x^2+2$.

Here partial fractions does not work, I tried to parameterize but I do not get anything useful to perform the respective calculations.

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    Do you know/are you allowed to use the Residue Theorem? – 2017-01-08
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    Can you parametrize your curves (path). – 2017-01-08
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    z=x+iy, then I parametrize x=cos t and y = sin t – 2017-01-08
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    Don't those curves form two halves of parabolas? – 2017-01-08
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    @Cat Yes, those curves form two halves of parabolas. – 2017-01-09

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