If f(a+b-x)=f(x), then _a^b x f(x) d x= _________. - Vidyadip

MCQ

If $f(a+b-x)=f(x)$, then $\int_a^b x f(x) d x=$ _________.

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

✓

Answer

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