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Integrate the function
$\frac{1}{\sqrt{x^2+2 x+2}}$
$\frac{1}{\sqrt{x^2+2 x+2}}$
Solution:
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Verified Answer
$\int \frac{1}{\sqrt{x^2+2 x+2}} d x=\int \frac{d x}{\sqrt{(x+1)^2+1}}$
$=\log \left|(x+1)+\sqrt{x^2+2 x+2}\right|+C$
$=\log \left|(x+1)+\sqrt{x^2+2 x+2}\right|+C$
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