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Question

Question: \[\int_{0}^{1}{\cos^{- 1}xdx =}\]...

∫01cos⁡−1xdx=\int_{0}^{1}{\cos^{- 1}xdx =}

A

0

B

1

C

2

D

None of these

Answer

1

Explanation

Solution

∫01cos⁡−1xdx=[xcos⁡−1x−1−x2]01=1{\int_{0}^{1}{\cos^{- 1}xdx = \left\lbrack x\cos^{- 1}x - \sqrt{1 - x^{2}} \right\rbrack}}_{0}^{1} = 1.