\( \int \frac{d x}{(1+\sqrt{x}) \sqrt{\left(x-x^{2}\right)}} \) is equal to (A) \( \frac{1+\sqrt...

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\( \int \frac{d x}{(1+\sqrt{x}) \sqrt{\left(x-x^{2}\right)}} \) is equal to
(A) \( \frac{1+\sqrt{x}}{(1-x)^{2}}+c \)
(B) \( \frac{1+\sqrt{x}}{(1+x)^{2}}+c \)
(C) \( \frac{1-\sqrt{x}}{(1-x)^{2}}+c \)
(D) \( \frac{2(\sqrt{x}-1)}{\sqrt{(1-x)}}+c \)
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