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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]` be `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)cospixdx` is____

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