If \( \int_{0}^{100 \pi} \sqrt{(1-\cos 2 x)} d x \) then the value ...

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If \( \int_{0}^{100 \pi} \sqrt{(1-\cos 2 x)} d x \) then the value of \( I \) is
\( \mathrm{P}^{17} \)
W
(1) \( 100 \sqrt{2} \)
(2) \( 200 \sqrt{2} \)
(3) \( 50 \sqrt{2} \)
(4) \( 25 \sqrt{2} \)
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