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If f(k - x) + f(x) = sin x, then the val...

If `f(k - x) + f(x) = sin x`, then the value of integral `I = int_(0)^(k) f(x)dx` is equal to

A

`cos k`

B

`2 cos^(2) (k/2)`

C

`sin^(2) (k/2)`

D

`sin k`

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The correct Answer is:
C
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