Finding the Inverse Fourier Transform for a Complex Function

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mdb

How do find the inverse Fourier Transform for the following using the transform pairs and properties?

X(jw) = 1 / (2 - w^2 + j3w)

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hunt_mat

My advice would be to rearrange in the form:
[tex] \frac{a}{b-(c+dw)^{2}} [/tex]
There should be general inverses for that.

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