\[ \int \frac{d x}{\left(\sqrt{1+x^{2}}-x\right)^{n}}(n \neq \pm 1)...

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\[
\int \frac{d x}{\left(\sqrt{1+x^{2}}-x\right)^{n}}(n \neq \pm 1)=\frac{1}{2}\left(\frac{z^{n+1}}{n+1}+\frac{z^{n-1}}{n-1}\right)+C
\]
\( \mathrm{P}^{11:} \)
W.
where:
(1) \( z=x-\sqrt{1+x^{2}} \)
(2) \( z=\sqrt{1+x^{2}}-x \)
(3) \( z=x+\sqrt{1+x^{2}} \)
(4) \( z=x-\sqrt{1-x^{2}} \)
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