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Question

$\int \sqrt{5-2x+x^2} \, dx =$

$\frac{x-1}{2} \sqrt{5+2x+x^2} + 2 \log \left| (x-1) + \sqrt{5+2x+x^2} \right| + C$

$\frac{x-1}{2} \sqrt{5-2x+x^2} + 2 \log \left| (x-1) + \sqrt{5-2x+x^2} \right| + C$

$\frac{x-1}{2} \sqrt{5-2x+x^2} + 2 \log \left| (x+1) + \sqrt{x^2+2x+5} \right| + C$

$\frac{x}{2} \sqrt{5-2x+x^2} + 4 \log \left| (x+1) + \sqrt{x^2-2x+5} \right| + C$

Solution

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