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$\int \cos [2 \cot^{- 1} \sqrt{\frac{1 - x}{1 + x}}] dx$ is equal to

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12x2+C

12sin⁡2cot−1⁡1−x1+x+C

−12x2+C

12x+C

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detailed solution

Correct option is C

∫cos⁡2cot−1⁡1−x1+xdx=∫cos⁡cos−1⁡(−x)dx=∫(−x)dx=−x22+C

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∫cos⁡2cot−1⁡1−x1+xdx is equal to

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$\int \cos [2 \cot^{- 1} \sqrt{\frac{1 - x}{1 + x}}] dx$ is equal to