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Find the value of int(-1)^1[x^2+{x}]dx ,...

Find the value of `int_(-1)^1[x^2+{x}]dx ,w h e r e[dot]a n d{dot}` denote the greatest function and fractional parts of `x ,` respectively.

A

`(sqrt5(sqrt5+1))/2`

B

`(sqrt5(sqrt5-1))/2`

C

`-(sqrt5(sqrt5+1))/2`

D

`(3-sqrt5)/2`

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