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Let f be a real - valued function define...

Let f be a real - valued function defined on R ( the set of real numbers) such that `f(x) = sin^(-1) ( sin x) + cos^(-1) ( cos x)`
The area bounded by curve `y = f(x)` and x- axis from `pi/2 le x le pi` is equal to

A

`pi^(2)/4`

B

`pi^(2)/2`

C

`pi^(2)`

D

`pi^(2)/8`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Let f be a real - valued function defined on R ( the set of real numbers) such that f(x) = sin^(-1) ( sin x) + cos^(-1) ( cos x) The value of f(10) is equal to

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    B
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    C
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    D
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