What is \int \sin ^{-1}(\cos x) d x equal to?

Correct Answer is : xπ2−x22+k

\frac{x \pi}{2}-\frac{x^2}{2}+k

-\frac{x \pi}{2}-\frac{x^2}{2}+k x

\frac{\pi}{2}-\frac{x^2}{2}+k where k is a constant of integration.

UPSC NDA I 2011 Mathematics Paper

Question : 16 of 120

Marks: +1, -0

What is ∫sin−1(cos‌x)dx equal to?

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