Math miscellaneousHard
Question
If f(a + b - x) = f(x), then 
x f(x) dx is equal to
x f(x) dx is equal toOptions
A.
f(b - x)dx
f(b - x)dxB.f(x)dx
f(x)dxC.
f(x)dx
f(x)dxD.f(a + b - x)dx
f(a + b - x)dxSolution
x f(x) dx=
(a + b - x)f(a + b - x)dx.Hence, (B) is the correct answer.
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