If f(a + b - x) = f(x) then \( \int_{a}^{b}\)x f(x) dx = _______.

1
\(\frac{a+b}{2} \int_{a}^{b} f(x) d x\)
2
\(\frac{a+b}{2} \int_{a}^{b} f(b+x) d x\)
3
\(\frac{b-a}{2} \int_{a}^{b} f(x) d x\)
4
\(\frac{a+b}{2} \int_{a}^{b} f(b-x) d x\)

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