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Q.∫xcos⁡−1x1−x2 dx\int \dfrac{x \cos^{-1} x}{\sqrt{1-x^2}} \, dx equals

a
(cos⁡−1x)2+C(\cos^{-1} x)^2 + C
b
12(cos⁡−1x)2+C\dfrac{1}{2} (\cos^{-1} x)^2 + C
c
−1−x2cos⁡−1x+C -\sqrt{1-x^2} \cos^{-1} x + C
d
1−x2cos⁡−1x+C\sqrt{1-x^2} \cos^{-1} x + C

Correct Answer: Option B

The correct solution involves applying the fundamental concept to derive the final value step by step...

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