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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 `(pi^(2))/(10)int_(-10)^(10) f(x) cos pi x dx`, is

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