If f(a+b-x)=f(x) then \int_a^b x f(x) d x=____

Correct Answer is : a+b2∫abf(x)dx

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

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

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

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

GUJCET 2022 Math Solved Paper

Question : 36 of 40

Marks: +1, -0

If f(a+b−x)=f(x) then

∫

bxf(x)dx=____

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