If $f(a+b-x)=f(x)$,then $\int_a^b x f(x) d x=$ . . . . . . .
- A$\frac{a+b}{2} \int_a^b f(x) d x$
- B$\frac{b-a}{2} \int_a^b f(x) d x$
- C$\frac{a+b}{2} \int_a^b f(b+x) d x$
- D$\frac{a+b}{2} \int_a^b f(b-x) d x$
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