MCQ
यदि $f(a+b-x)=f(x)$, तो $\int_a^b x f(x) d x$ बराबर है :
  • A
    $\frac{a+b}{2} \int_a^b f(b-x) d x$
  • B
    $\frac{a+b}{2} \int_a^b(b+x) d x$
  • C
    $\frac{b-a}{2} \int_a^b f(x) d x$
  • $\frac{a+b}{2} \int_a^b f(x) d x$

Answer

Correct option: D.
$\frac{a+b}{2} \int_a^b f(x) d x$
D

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