The value of \( \sqrt{\pi\left(\int_{0}^{2008} x|\sin \pi x|\right)...

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The value of \( \sqrt{\pi\left(\int_{0}^{2008} x|\sin \pi x|\right)} d x \) is equal to
\( \mathrm{P} \)
W
(1) \( \sqrt{2008} \)
(2) \( \pi \sqrt{2008} \)
(3) 1004
(4) 2008
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