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Let [x] denote the greatest integer less...

Let [x] denote the greatest integer less than or equal to x, then the value of the integral `int_(-1)^(1)(|x|-2[x])dx` is equal to-

A

`(e^(1000)-1)/(e-1)`

B

`(e^(1000)-1)/(1000)`

C

`(e-1)/(1000)`

D

1000 (e-1)

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