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Consider P(x)= x^(3)+ax^(2)+9x+b,a,b in ...

Consider `P(x)= x^(3)+ax^(2)+9x+b,a,b in R.` If `P(2+x)+P(2-x)=2P(2),AA x in R` and `P(x)+P(x+3)+P(4-x)+P(1-x)=20,AA x in R,` then find the value of `(1)/(207)int_(-a)^(a)P(x)dx`

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