Inverse Fourier transform of 1/(2 - w² + j3w)

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

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

Thanks!
 
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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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