Let f(x)="max"{x+|x|,x-[x]}, where [x] d...

Let `f(x)="max"{x+|x|,x-[x]}`, where [x] denotes the greatest integer `lex`. Then the value of `int_(-3)^(3)f(x)dx` is-

A

0

B

`(51)/(2)`

C

`(21)/(2)`

D

1

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