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Let f(x) = x^(2) + 6x + 1 and R denote t...

Let `f(x) = x^(2) + 6x + 1` and R denote the set of points (x, y) in the coordinate plane such that `f(x) + f(y) le 0 and f(x) – f(y) le 0`. The area of R is equal to

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