Inverse Fourier Transform

[mdb]

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

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

Thanks!

 

[hunt_mat]

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