Math miscellaneousHard

Question

If f(a + b - x) = f(x), then x f(x) dx is equal to

Options

A.f(b - x)dx

B.f(x)dx

C.f(x)dx

D.f(a + b - x)dx

Solution

x f(x) dx
=

(a + b - x)f(a + b - x)dx.
Hence, (B) is the correct answer.

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