MCQ
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
    $\frac{a+b}{2} \int_a^b f(b-x) d x$

Answer

SELF

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