Hm, well the Cosine transform looks a bit crazy because of the
strange 3-valued signum, but it actually says: roots in the
upper plane, the rest involves roots of unity and some exp.
For Numerics I gave some fast and accurate solution.
Concerning Maple's possible bug versus Mathematica:
That is difficult to judge. First we do not *know* whether MMA
Anyway: I also would expect Maple to get it (may be with some
And as already said: do *not* use evalf(lOWERCASE int(...)).
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