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Problem with FourierTransform in V4


I'm running Mathematica 4 on Windows and found the following odd situation,

in: FourierTransform[y'[x] + y[x], x, w]
out:FourierTransform[y'[x] + y[x], x, w]

FourierTransform didn't distribute over addition.

even though
in: FourierTransform[y'[x] , x, w]
out:-\[ImaginaryI] w FourierTransform[y[x], x, w]

worked correctly.

I found FourierTransform[u[x]+v[x], x, w] also didn't work even though it
did work when expressions were assigned to u and v.

BTW: Wolfram support said use Distribute[FourierTransform[...]] as a
workaround




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