Mathematics

Let $$f\left( x \right) = \sin 2x\,\sin \left( {\frac{\pi }{2}\cos x} \right)\,\,and\,\,g\left( x \right) = \frac{{f\left( x \right)}}{{2x - \pi }}$$
$$\int_0^\pi  {f\left( x \right)dx = } $$


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