\( \int \frac{d x}{\left(1+x^{2}\right) \sqrt{1-x^{2}}} \) \( \math...

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\( \int \frac{d x}{\left(1+x^{2}\right) \sqrt{1-x^{2}}} \)
\( \mathrm{P}^{11} \)
W.
(1) \( \frac{-1}{\sqrt{4}} \tan ^{-1}\left(\frac{\sqrt{1-x^{2}}}{\sqrt{2} x}\right)+c \)
(2) \( \frac{-1}{\sqrt{2}} \tan ^{-1}\left(\frac{\sqrt{1+x^{2}}}{\sqrt{2} x}\right)+c \)
(3) \( \frac{-1}{\sqrt{2}} \tan ^{-1}\left(\frac{\sqrt{1-x^{2}}}{\sqrt{2} x}\right)+c \)
(4) \( \frac{1}{\sqrt{4}} \tan ^{-1}\left(\frac{\sqrt{1-x^{2}}}{\sqrt{2} x}\right)+c \)
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