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The difference between the greatest and least values of the function f(x) = `sin 2x - x` on `[-pi//2 , pi//2]` is

A

`(sqrt3 + sqrt2 )/(2)`

B

`(sqrt3 + sqrt2)/(2) + (pi)/(6)`

C

`(pi)/(2)`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
D
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