题目内容

6.$\int_{0}^{+\infty }{\frac{dx}{(x+1)\sqrt{{{x}^{2}}+1}}}=$( )

A. $\frac{1}{2}\ln (3+2\sqrt{2})$
B. $\frac{1}{2}\ln (3-2\sqrt{2})$
C. $\frac{\sqrt{2}}{2}\ln (3+2\sqrt{2})$
D. $\frac{\sqrt{2}}{2}\ln (3-2\sqrt{2})$

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