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Inverse Fourier Transform

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Calculate the inverse Fourier transform of 1/(w^2+2iw-2) in two ways: using the definition and using partial fractions.

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Solution Summary

The solution shows how to apply complex analysis to the integral. Also how to use convergence arguments to reach the correct answer.

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Please see the attached file.

Here are the two mistakes I found:

1. In applying the residue theorem, the original solver forgot that we integrate in the lower half of the complex plane (where the poles are). This means that the direction of ...

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