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Let f: RR to RR be a function defined by...

Let `f: RR to RR` be a function defined by `f(x)={{:([x],x le2),(0,x gt2):}`, where [x] is the greatest integer less than or equal to x.
If `I=int_(-1)^(2)(xf(x^(2)))/(2+f(x+1))dx`, then the value of `(4I-1)` is-

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