Given f(x) where ={(x|x|,"for" xle -...

Given f(x) where
`={(x|x|,"for" xle -1),([x+1]+[1-x],"for"-1lt x lt 1 ","),(-x|x|,"for" xge1):}` [.] denotes the greatest integer function. If `I= int_(-2)^(2) f ( x) dx`,then |3I| =

A

`-8//3`

B

`-4//3`

C

`8//3`

D

`4//3`

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The correct Answer is:

A

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