# Independence of RV

A certain joint probability density function is given by the formula:

$f_{XY} (xy) = \dfrac{\sqrt{\pi}}{2} x\sin (xy),$

where $$x$$ and $$y$$ are drawn from the rectangle $$[0,\sqrt{\pi}]\times [0,\sqrt{\pi}]$$.

Are the random variables $$X$$ and $$Y$$ independent?

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