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For any real number x, let [x] denote th...

For any real number x, let `[x]` denote the largest integer less than or equal to x. let f be a real valued function defined on the interval `[-10,10]` by

`f(x)={(x-[x] , if [x] "is odd"),(1+[x]-x , if [x] "is even"):}` .

Then the value of `int_-10^10 f(x) cos pi x` is

A

`20/pi^2`

B

`40/pi^2`

C

`-20/pi^2`

D

`-40/pi^2`

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