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( frac{1}{2} int frac{d u}{u sqrt{u^{2}-1}}=frac{1}{2} int frac{d u}{|u| sqrt{u^{2}-1}} )
\\( \\frac{1}{2} \\int \\frac{d u}{u \\sqrt{u^{2}-1}}=\\frac{1}{2} \\int \\frac{d u}{|u| \\sqrt{u^{2}-1}} \\)
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