7. \( \int \cos \left\{2 \cot ^{-1} \sqrt{\frac{1-x}{1+x}}\right\} d x \) is equal to (a) \( -\frac{x^{2}}{2}+c \) (b) \( \frac{

7. \( \int \cos \left\{2 \cot ^{-1} \sqrt{\frac{1-x}{1+x}}\right\} d x \) is equal to (a) \( -\frac{x^{2}}{2}+c \) (b) \( \frac{x^{2}}{2}+c \) (c) \( x+\frac{x^{2}}{2}+c \) (d) \( \cos x+c \)

7. \( \int \cos \left\{2 \cot ^{-1} \sqrt{\frac{1-x}{1+x}}\right\} d x \) is equal to (a) \( -\frac{x^{2}}{2}+c \) (b) \( \frac{x^{2}}{2}+c \) (c) \( x+\frac{x^{2}}{2}+c \) (d) \( \cos x+c \)

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