\[ \int \sqrt{\frac{1+x}{1-x}} d x= \] (A) \( -\cos ^{-1} x-\sqrt{1...

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\[
\int \sqrt{\frac{1+x}{1-x}} d x=
\]
(A) \( -\cos ^{-1} x-\sqrt{1-x^{2}}+k \)
(B) \( \sin ^{-1} x+\sqrt{1-x^{2}}+k \)
(C) \( \cos ^{-1} x+\sqrt{1-x^{2}}+k \)
(D) \( -\sin ^{-1} x+\sqrt{1-x^{2}}+k \)
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